{"id":26,"date":"2026-06-06T16:19:09","date_gmt":"2026-06-06T16:19:09","guid":{"rendered":"https:\/\/blog.phantram.online\/bai-tap-tinh-phan-tram-co-loi-giai\/"},"modified":"2026-06-11T02:22:35","modified_gmt":"2026-06-11T02:22:35","slug":"bai-tap-tinh-phan-tram-co-loi-giai","status":"publish","type":"post","link":"https:\/\/1phantram.com\/blog\/bai-tap-tinh-phan-tram-co-loi-giai\/","title":{"rendered":"100 B\u00e0i T\u1eadp T\u00ednh Ph\u1ea7n Tr\u0103m C\u00f3 L\u1eddi Gi\u1ea3i (T\u1eeb C\u01a1 B\u1ea3n \u0110\u1ebfn N\u00e2ng Cao)"},"content":{"rendered":"<p><!-- FAQ Schema --><br \/>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh ph\u1ea7n tr\u0103m c\u01a1 b\u1ea3n l\u00e0 g\u00ec?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"C\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n: Ph\u1ea7n tr\u0103m = (Ph\u1ea7n \/ T\u1ed5ng) \u00d7 100. V\u00ed d\u1ee5: 25\/200 \u00d7 100 = 12,5%.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 t\u00ednh X% c\u1ee7a m\u1ed9t s\u1ed1 Y?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"X% c\u1ee7a Y = (X \u00d7 Y) \/ 100. V\u00ed d\u1ee5: 30% c\u1ee7a 500 = (30 \u00d7 500) \/ 100 = 150.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"C\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m t\u0103ng gi\u1ea3m nh\u01b0 th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"% T\u0103ng\/Gi\u1ea3m = ((Gi\u00e1 tr\u1ecb m\u1edbi - Gi\u00e1 tr\u1ecb c\u0169) \/ Gi\u00e1 tr\u1ecb c\u0169) \u00d7 100. K\u1ebft qu\u1ea3 d\u01b0\u01a1ng l\u00e0 t\u0103ng, \u00e2m l\u00e0 gi\u1ea3m.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Ph\u1ea7n tr\u0103m k\u00e9p l\u00e0 g\u00ec?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Ph\u1ea7n tr\u0103m k\u00e9p l\u00e0 \u00e1p d\u1ee5ng nhi\u1ec1u l\u1ea7n ph\u1ea7n tr\u0103m li\u00ean ti\u1ebfp. V\u00ed d\u1ee5 t\u0103ng 20% r\u1ed3i gi\u1ea3m 20% kh\u00f4ng v\u1ec1 gi\u00e1 ban \u0111\u1ea7u m\u00e0 c\u00f2n l\u1ea1i 96%. C\u00f4ng th\u1ee9c: Gi\u00e1 cu\u1ed1i = Gi\u00e1 \u0111\u1ea7u \u00d7 (1 \u00b1 %1) \u00d7 (1 \u00b1 %2).\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"L\u00e0m sao t\u00ednh l\u00e3i su\u1ea5t \u0111\u01a1n gi\u1ea3n theo ph\u1ea7n tr\u0103m?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"L\u00e3i = V\u1ed1n \u00d7 L\u00e3i su\u1ea5t% \u00d7 S\u1ed1 k\u1ef3. V\u00ed d\u1ee5: V\u1ed1n 10 tri\u1ec7u, l\u00e3i 6%\/n\u0103m trong 2 n\u0103m \u2192 L\u00e3i = 10.000.000 \u00d7 6% \u00d7 2 = 1.200.000 \u0111\u1ed3ng.\"\n      }\n    }\n  ]\n}\n<\/script><\/p>\n<p><!-- Intro --><\/p>\n<p>B\u1ea1n \u0111ang t\u00ecm ki\u1ebfm <strong>b\u00e0i t\u1eadp t\u00ednh ph\u1ea7n tr\u0103m c\u00f3 l\u1eddi gi\u1ea3i<\/strong> chi ti\u1ebft t\u1eebng b\u01b0\u1edbc? B\u00e0i vi\u1ebft n\u00e0y t\u1ed5ng h\u1ee3p <strong>100 b\u00e0i t\u1eadp t\u00ednh ph\u1ea7n tr\u0103m<\/strong> \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i theo 3 c\u1ea5p \u0111\u1ed9 \u2014 c\u01a1 b\u1ea3n, trung b\u00ecnh v\u00e0 n\u00e2ng cao \u2014 k\u00e8m h\u01b0\u1edbng d\u1eabn gi\u1ea3i c\u1ee5 th\u1ec3. D\u00f9 b\u1ea1n l\u00e0 h\u1ecdc sinh l\u1edbp 5, l\u1edbp 6 hay ng\u01b0\u1eddi \u0111i l\u00e0m c\u1ea7n \u00f4n l\u1ea1i ki\u1ebfn th\u1ee9c, \u0111\u00e2y l\u00e0 t\u00e0i li\u1ec7u to\u00e0n di\u1ec7n nh\u1ea5t \u0111\u1ec3 luy\u1ec7n t\u1eadp ph\u1ea7n tr\u0103m. M\u1ed7i d\u1ea1ng b\u00e0i \u0111\u1ec1u c\u00f3 c\u00f4ng th\u1ee9c \u00e1p d\u1ee5ng, v\u00ed d\u1ee5 minh h\u1ecda v\u00e0 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc r\u00f5 r\u00e0ng.<\/p>\n<p><!-- CTA Box --><\/p>\n<div style=\"background: linear-gradient(135deg, #667eea 0%, #764ba2 100%); border-radius: 12px; padding: 24px; margin: 24px 0; color: #fff; text-align: center;\">\n<p style=\"font-size: 18px; font-weight: bold; margin-bottom: 8px;\">\u26a1 C\u1ea7n t\u00ednh ph\u1ea7n tr\u0103m nhanh?<\/p>\n<p style=\"margin-bottom: 16px;\">D\u00f9ng m\u00e1y t\u00ednh ph\u1ea7n tr\u0103m tr\u1ef1c tuy\u1ebfn mi\u1ec5n ph\u00ed t\u1ea1i <strong>1phantram.com<\/strong> \u2014 ra k\u1ebft qu\u1ea3 trong 1 gi\u00e2y!<\/p>\n<p>  <a href=\"https:\/\/1phantram.com\" style=\"background: #fff; color: #764ba2; padding: 12px 28px; border-radius: 8px; font-weight: bold; text-decoration: none; font-size: 16px;\">\ud83d\udc49 T\u00ednh Ph\u1ea7n Tr\u0103m Ngay<\/a>\n<\/div>\n<p>Tr\u01b0\u1edbc khi v\u00e0o b\u00e0i t\u1eadp, h\u00e3y xem l\u1ea1i <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram\/\" title=\"C\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m \u0111\u1ea7y \u0111\u1ee7\">h\u01b0\u1edbng d\u1eabn t\u00ednh ph\u1ea7n tr\u0103m c\u01a1 b\u1ea3n<\/a> v\u00e0 <a href=\"https:\/\/1phantram.com\/blog\/cong-thuc-tinh-phan-tram\/\" title=\"C\u00f4ng th\u1ee9c t\u00ednh ph\u1ea7n tr\u0103m\">t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh ph\u1ea7n tr\u0103m<\/a> \u0111\u1ec3 n\u1eafm v\u1eefng n\u1ec1n t\u1ea3ng tr\u01b0\u1edbc khi luy\u1ec7n t\u1eadp.<\/p>\n<p><!-- PH\u1ea6N 1 --><\/p>\n<h2>Ph\u1ea7n 1 \u2014 B\u00e0i T\u1eadp T\u00ednh Ph\u1ea7n Tr\u0103m C\u01a1 B\u1ea3n<\/h2>\n<p>Ph\u1ea7n n\u00e0y g\u1ed3m <strong>30 b\u00e0i t\u1eadp t\u00ednh ph\u1ea7n tr\u0103m c\u01a1 b\u1ea3n<\/strong> d\u00e0nh cho h\u1ecdc sinh ti\u1ec3u h\u1ecdc v\u00e0 THCS. C\u00e1c d\u1ea1ng b\u00e0i b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 5, 6, 7.<\/p>\n<h3>D\u1ea1ng 1: T\u00ednh Ph\u1ea7n Tr\u0103m C\u1ee7a M\u1ed9t S\u1ed1 (10 B\u00e0i)<\/h3>\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> X% c\u1ee7a N = (X \u00d7 N) \/ 100<\/p>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 1:<\/strong> T\u00ednh 20% c\u1ee7a 350.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n20% c\u1ee7a 350 = (20 \u00d7 350) \/ 100 = 7000 \/ 100 = <strong>70<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 2:<\/strong> T\u00ednh 15% c\u1ee7a 200.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n15% c\u1ee7a 200 = (15 \u00d7 200) \/ 100 = 3000 \/ 100 = <strong>30<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 3:<\/strong> M\u1ed9t tr\u01b0\u1eddng c\u00f3 800 h\u1ecdc sinh, trong \u0111\u00f3 45% l\u00e0 h\u1ecdc sinh n\u1eef. T\u00ednh s\u1ed1 h\u1ecdc sinh n\u1eef.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 h\u1ecdc sinh n\u1eef = 45% \u00d7 800 = (45 \u00d7 800) \/ 100 = 36000 \/ 100 = <strong>360 h\u1ecdc sinh<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 4:<\/strong> T\u00ednh 8% c\u1ee7a 1500.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n8% c\u1ee7a 1500 = (8 \u00d7 1500) \/ 100 = 12000 \/ 100 = <strong>120<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 5:<\/strong> M\u1ed9t h\u1ed9p c\u00f3 60 vi\u00ean bi. S\u1ed1 bi \u0111\u1ecf chi\u1ebfm 35% t\u1ed5ng s\u1ed1 bi. T\u00ednh s\u1ed1 bi \u0111\u1ecf.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 bi \u0111\u1ecf = 35% \u00d7 60 = (35 \u00d7 60) \/ 100 = 2100 \/ 100 = <strong>21 vi\u00ean bi \u0111\u1ecf<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 6:<\/strong> T\u00ednh 75% c\u1ee7a 480.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n75% c\u1ee7a 480 = (75 \u00d7 480) \/ 100 = 36000 \/ 100 = <strong>360<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 7:<\/strong> L\u1edbp h\u1ecdc c\u00f3 40 em. 60% tham gia c\u00e2u l\u1ea1c b\u1ed9 to\u00e1n. T\u00ednh s\u1ed1 em tham gia.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 em tham gia = 60% \u00d7 40 = (60 \u00d7 40) \/ 100 = 2400 \/ 100 = <strong>24 em<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 8:<\/strong> T\u00ednh 3,5% c\u1ee7a 2000.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n3,5% c\u1ee7a 2000 = (3,5 \u00d7 2000) \/ 100 = 7000 \/ 100 = <strong>70<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 9:<\/strong> M\u1ed9t chi\u1ebfc b\u00e1nh n\u1eb7ng 500g. \u0110\u01b0\u1eddng chi\u1ebfm 12% kh\u1ed1i l\u01b0\u1ee3ng. T\u00ednh l\u01b0\u1ee3ng \u0111\u01b0\u1eddng trong b\u00e1nh.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nL\u01b0\u1ee3ng \u0111\u01b0\u1eddng = 12% \u00d7 500 = (12 \u00d7 500) \/ 100 = 6000 \/ 100 = <strong>60g<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 10:<\/strong> T\u00ednh 125% c\u1ee7a 80.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n125% c\u1ee7a 80 = (125 \u00d7 80) \/ 100 = 10000 \/ 100 = <strong>100<\/strong><\/p>\n<\/div>\n<h3>D\u1ea1ng 2: T\u00ednh S\u1ed1 Khi Bi\u1ebft Ph\u1ea7n Tr\u0103m (10 B\u00e0i)<\/h3>\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> T\u1ed5ng = Ph\u1ea7n \/ (X\/100) = Ph\u1ea7n \u00d7 100 \/ X<\/p>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 11:<\/strong> 30 l\u00e0 25% c\u1ee7a s\u1ed1 n\u00e0o?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u1ea7n t\u00ecm = 30 \u00d7 100 \/ 25 = 3000 \/ 25 = <strong>120<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 12:<\/strong> 45 l\u00e0 15% c\u1ee7a s\u1ed1 n\u00e0o?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u1ea7n t\u00ecm = 45 \u00d7 100 \/ 15 = 4500 \/ 15 = <strong>300<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 13:<\/strong> L\u1edbp A c\u00f3 s\u1ed1 h\u1ecdc sinh \u0111\u1ea1t lo\u1ea1i gi\u1ecfi l\u00e0 12 em, chi\u1ebfm 40% l\u1edbp. H\u1ecfi l\u1edbp A c\u00f3 bao nhi\u00eau em?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 h\u1ecdc sinh l\u1edbp A = 12 \u00d7 100 \/ 40 = 1200 \/ 40 = <strong>30 em<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 14:<\/strong> 72 l\u00e0 90% c\u1ee7a s\u1ed1 n\u00e0o?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u1ea7n t\u00ecm = 72 \u00d7 100 \/ 90 = 7200 \/ 90 = <strong>80<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 15:<\/strong> M\u1ed9t c\u1eeda h\u00e0ng b\u00e1n \u0111\u01b0\u1ee3c 180 chi\u1ebfc \u00e1o, b\u1eb1ng 60% s\u1ed1 \u00e1o nh\u1eadp v\u1ec1. T\u00ednh s\u1ed1 \u00e1o nh\u1eadp v\u1ec1 ban \u0111\u1ea7u.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 \u00e1o nh\u1eadp v\u1ec1 = 180 \u00d7 100 \/ 60 = 18000 \/ 60 = <strong>300 chi\u1ebfc \u00e1o<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 16:<\/strong> 56 l\u00e0 35% c\u1ee7a s\u1ed1 n\u00e0o?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u1ea7n t\u00ecm = 56 \u00d7 100 \/ 35 = 5600 \/ 35 = <strong>160<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 17:<\/strong> M\u1ed9t v\u01b0\u1eddn c\u00e2y c\u00f3 84 c\u00e2y \u0103n qu\u1ea3, chi\u1ebfm 70% t\u1ed5ng s\u1ed1 c\u00e2y trong v\u01b0\u1eddn. T\u00ednh t\u1ed5ng s\u1ed1 c\u00e2y.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng s\u1ed1 c\u00e2y = 84 \u00d7 100 \/ 70 = 8400 \/ 70 = <strong>120 c\u00e2y<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 18:<\/strong> 18 l\u00e0 4,5% c\u1ee7a s\u1ed1 n\u00e0o?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u1ea7n t\u00ecm = 18 \u00d7 100 \/ 4,5 = 1800 \/ 4,5 = <strong>400<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 19:<\/strong> Sau khi gi\u1ea3m 20%, gi\u00e1 m\u1ed9t s\u1ea3n ph\u1ea9m c\u00f2n 160.000\u0111. T\u00ednh gi\u00e1 g\u1ed1c.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 sau gi\u1ea3m = 80% gi\u00e1 g\u1ed1c \u2192 Gi\u00e1 g\u1ed1c = 160.000 \u00d7 100 \/ 80 = <strong>200.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 20:<\/strong> 250 l\u00e0 125% c\u1ee7a s\u1ed1 n\u00e0o?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u1ea7n t\u00ecm = 250 \u00d7 100 \/ 125 = 25000 \/ 125 = <strong>200<\/strong><\/p>\n<\/div>\n<h3>D\u1ea1ng 3: T\u00ednh Ph\u1ea7n Tr\u0103m Gi\u1eefa Hai S\u1ed1 (10 B\u00e0i)<\/h3>\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> A chi\u1ebfm bao nhi\u00eau % c\u1ee7a B = (A \/ B) \u00d7 100<\/p>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 21:<\/strong> 15 chi\u1ebfm bao nhi\u00eau ph\u1ea7n tr\u0103m c\u1ee7a 60?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(15 \/ 60) \u00d7 100 = 0,25 \u00d7 100 = <strong>25%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 22:<\/strong> 36 l\u00e0 bao nhi\u00eau ph\u1ea7n tr\u0103m c\u1ee7a 144?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(36 \/ 144) \u00d7 100 = 0,25 \u00d7 100 = <strong>25%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 23:<\/strong> L\u1edbp 6A c\u00f3 45 h\u1ecdc sinh, trong \u0111\u00f3 27 em \u0111\u1ea1t \u0111i\u1ec3m tr\u00ean trung b\u00ecnh. T\u00ednh t\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m h\u1ecdc sinh \u0111\u1ea1t tr\u00ean trung b\u00ecnh.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ec9 l\u1ec7 = (27 \/ 45) \u00d7 100 = 0,6 \u00d7 100 = <strong>60%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 24:<\/strong> 90 l\u00e0 bao nhi\u00eau ph\u1ea7n tr\u0103m c\u1ee7a 360?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(90 \/ 360) \u00d7 100 = 0,25 \u00d7 100 = <strong>25%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 25:<\/strong> M\u1ed9t chai n\u01b0\u1edbc c\u00f3 500ml. B\u00e9 u\u1ed1ng 150ml. H\u1ecfi b\u00e9 \u0111\u00e3 u\u1ed1ng bao nhi\u00eau ph\u1ea7n tr\u0103m l\u01b0\u1ee3ng n\u01b0\u1edbc?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(150 \/ 500) \u00d7 100 = 0,3 \u00d7 100 = <strong>30%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 26:<\/strong> 7 l\u00e0 bao nhi\u00eau ph\u1ea7n tr\u0103m c\u1ee7a 28?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(7 \/ 28) \u00d7 100 = 0,25 \u00d7 100 = <strong>25%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 27:<\/strong> C\u1eeda h\u00e0ng nh\u1eadp 200 h\u1ed9p k\u1eb9o. Sau 1 tu\u1ea7n b\u00e1n \u0111\u01b0\u1ee3c 170 h\u1ed9p. T\u00ednh t\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m h\u1ed9p \u0111\u00e3 b\u00e1n.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(170 \/ 200) \u00d7 100 = 0,85 \u00d7 100 = <strong>85%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 28:<\/strong> 0,3 chi\u1ebfm bao nhi\u00eau ph\u1ea7n tr\u0103m c\u1ee7a 1,2?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(0,3 \/ 1,2) \u00d7 100 = 0,25 \u00d7 100 = <strong>25%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 29:<\/strong> M\u1ed9t d\u1ef1 \u00e1n d\u1ef1 ki\u1ebfn ho\u00e0n th\u00e0nh trong 120 ng\u00e0y. Sau 90 ng\u00e0y \u0111\u00e3 xong bao nhi\u00eau ph\u1ea7n tr\u0103m?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(90 \/ 120) \u00d7 100 = 0,75 \u00d7 100 = <strong>75%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff7ed; border-left: 4px solid #f97316; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 30:<\/strong> 250 chi\u1ebfm bao nhi\u00eau ph\u1ea7n tr\u0103m c\u1ee7a 1000?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n(250 \/ 1000) \u00d7 100 = 0,25 \u00d7 100 = <strong>25%<\/strong><\/p>\n<\/div>\n<p><!-- PH\u1ea6N 2 --><\/p>\n<h2>Ph\u1ea7n 2 \u2014 B\u00e0i T\u1eadp T\u00ednh Ph\u1ea7n Tr\u0103m Trung B\u00ecnh<\/h2>\n<p>Ph\u1ea7n n\u00e0y g\u1ed3m <strong>30 b\u00e0i t\u1eadp ph\u1ea7n tr\u0103m trung b\u00ecnh<\/strong>, th\u00edch h\u1ee3p cho h\u1ecdc sinh THCS v\u00e0 nh\u1eefng ai c\u1ea7n \u00f4n luy\u1ec7n tr\u01b0\u1edbc k\u1ef3 thi. Xem th\u00eam <a href=\"https:\/\/1phantram.com\/blog\/cach-tinh-phan-tram-tang-giam\/\" title=\"C\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m t\u0103ng gi\u1ea3m\">h\u01b0\u1edbng d\u1eabn t\u00ednh ph\u1ea7n tr\u0103m t\u0103ng gi\u1ea3m chi ti\u1ebft<\/a>.<\/p>\n<h3>D\u1ea1ng 4: T\u00ednh Ph\u1ea7n Tr\u0103m T\u0103ng Gi\u1ea3m (10 B\u00e0i)<\/h3>\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> % Thay \u0111\u1ed5i = ((Gi\u00e1 m\u1edbi \u2212 Gi\u00e1 c\u0169) \/ Gi\u00e1 c\u0169) \u00d7 100<\/p>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 31:<\/strong> Gi\u00e1 x\u0103ng th\u00e1ng tr\u01b0\u1edbc l\u00e0 21.000\u0111\/l\u00edt, th\u00e1ng n\u00e0y l\u00e0 23.100\u0111\/l\u00edt. T\u00ednh ph\u1ea7n tr\u0103m t\u0103ng.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% t\u0103ng = ((23.100 \u2212 21.000) \/ 21.000) \u00d7 100 = (2.100 \/ 21.000) \u00d7 100 = 0,1 \u00d7 100 = <strong>10%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 32:<\/strong> Doanh thu th\u00e1ng 1 l\u00e0 50 tri\u1ec7u, th\u00e1ng 2 l\u00e0 45 tri\u1ec7u. T\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% gi\u1ea3m = ((45 \u2212 50) \/ 50) \u00d7 100 = (\u22125 \/ 50) \u00d7 100 = \u22120,1 \u00d7 100 = <strong>gi\u1ea3m 10%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 33:<\/strong> L\u01b0\u01a1ng nh\u00e2n vi\u00ean t\u0103ng t\u1eeb 8 tri\u1ec7u l\u00ean 9,2 tri\u1ec7u. T\u00ednh ph\u1ea7n tr\u0103m t\u0103ng l\u01b0\u01a1ng.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% t\u0103ng = ((9.200.000 \u2212 8.000.000) \/ 8.000.000) \u00d7 100 = (1.200.000 \/ 8.000.000) \u00d7 100 = <strong>15%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 34:<\/strong> C\u00e2n n\u1eb7ng gi\u1ea3m t\u1eeb 75kg xu\u1ed1ng 69kg. T\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m c\u00e2n.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% gi\u1ea3m = ((75 \u2212 69) \/ 75) \u00d7 100 = (6 \/ 75) \u00d7 100 = 0,08 \u00d7 100 = <strong>8%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 35:<\/strong> S\u1ed1 l\u01b0\u1ee3t truy c\u1eadp website t\u0103ng t\u1eeb 1.200 l\u00ean 1.560 l\u01b0\u1ee3t\/ng\u00e0y. T\u00ednh ph\u1ea7n tr\u0103m t\u0103ng.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% t\u0103ng = ((1.560 \u2212 1.200) \/ 1.200) \u00d7 100 = (360 \/ 1.200) \u00d7 100 = 0,3 \u00d7 100 = <strong>30%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 36:<\/strong> Gi\u00e1 c\u1ed5 phi\u1ebfu gi\u1ea3m t\u1eeb 50.000\u0111 xu\u1ed1ng 42.500\u0111. T\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% gi\u1ea3m = ((50.000 \u2212 42.500) \/ 50.000) \u00d7 100 = (7.500 \/ 50.000) \u00d7 100 = <strong>15%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 37:<\/strong> S\u1ea3n l\u01b0\u1ee3ng l\u00faa n\u0103m nay \u0111\u1ea1t 120 t\u1ea5n, n\u0103m ngo\u00e1i 100 t\u1ea5n. T\u00ednh ph\u1ea7n tr\u0103m t\u0103ng s\u1ea3n l\u01b0\u1ee3ng.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% t\u0103ng = ((120 \u2212 100) \/ 100) \u00d7 100 = (20 \/ 100) \u00d7 100 = <strong>20%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 38:<\/strong> Chi ph\u00ed \u0111i\u1ec7n th\u00e1ng n\u00e0y 800.000\u0111, th\u00e1ng tr\u01b0\u1edbc 1.000.000\u0111. T\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% gi\u1ea3m = ((1.000.000 \u2212 800.000) \/ 1.000.000) \u00d7 100 = (200.000 \/ 1.000.000) \u00d7 100 = <strong>20%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 39:<\/strong> D\u00e2n s\u1ed1 th\u00e0nh ph\u1ed1 t\u0103ng t\u1eeb 500.000 l\u00ean 535.000 ng\u01b0\u1eddi. T\u00ednh t\u1ec9 l\u1ec7 t\u0103ng d\u00e2n s\u1ed1.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% t\u0103ng = ((535.000 \u2212 500.000) \/ 500.000) \u00d7 100 = (35.000 \/ 500.000) \u00d7 100 = <strong>7%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 40:<\/strong> Nhi\u1ec7t \u0111\u1ed9 gi\u1ea3m t\u1eeb 35\u00b0C xu\u1ed1ng 28\u00b0C. T\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m nhi\u1ec7t \u0111\u1ed9.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% gi\u1ea3m = ((35 \u2212 28) \/ 35) \u00d7 100 = (7 \/ 35) \u00d7 100 = 0,2 \u00d7 100 = <strong>20%<\/strong><\/p>\n<\/div>\n<h3>D\u1ea1ng 5: B\u00e0i To\u00e1n Gi\u1ea3m Gi\u00e1 (10 B\u00e0i)<\/h3>\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> Gi\u00e1 sale = Gi\u00e1 g\u1ed1c \u00d7 (1 \u2212 %gi\u1ea3m\/100) | S\u1ed1 ti\u1ec1n gi\u1ea3m = Gi\u00e1 g\u1ed1c \u00d7 %gi\u1ea3m\/100<\/p>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 41:<\/strong> M\u1ed9t \u0111\u00f4i gi\u00e0y c\u00f3 gi\u00e1 g\u1ed1c 800.000\u0111, \u0111ang gi\u1ea3m gi\u00e1 25%. T\u00ednh gi\u00e1 sau gi\u1ea3m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 ti\u1ec1n gi\u1ea3m = 800.000 \u00d7 25% = 200.000\u0111<br \/>\nGi\u00e1 sau gi\u1ea3m = 800.000 \u2212 200.000 = <strong>600.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 42:<\/strong> Laptop gi\u00e1 15 tri\u1ec7u \u0111\u01b0\u1ee3c gi\u1ea3m 30%. T\u00ednh gi\u00e1 b\u00e1n.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 b\u00e1n = 15.000.000 \u00d7 (1 \u2212 30%) = 15.000.000 \u00d7 0,7 = <strong>10.500.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 43:<\/strong> Sau khi gi\u1ea3m 40%, gi\u00e1 m\u1ed9t chi\u1ebfc \u00e1o c\u00f2n 180.000\u0111. T\u00ednh gi\u00e1 g\u1ed1c.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 c\u00f2n l\u1ea1i = 60% gi\u00e1 g\u1ed1c<br \/>\nGi\u00e1 g\u1ed1c = 180.000 \/ 0,6 = <strong>300.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 44:<\/strong> Si\u00eau th\u1ecb gi\u1ea3m gi\u00e1 th\u1ef1c ph\u1ea9m 15%. H\u00f3a \u0111\u01a1n tr\u01b0\u1edbc gi\u1ea3m l\u00e0 600.000\u0111. T\u00ednh s\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3 = 600.000 \u00d7 (1 \u2212 15%) = 600.000 \u00d7 0,85 = <strong>510.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 45:<\/strong> \u0110i\u1ec7n tho\u1ea1i gi\u1ea3m t\u1eeb 12 tri\u1ec7u c\u00f2n 9,6 tri\u1ec7u. T\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m gi\u00e1.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% gi\u1ea3m = ((12 \u2212 9,6) \/ 12) \u00d7 100 = (2,4 \/ 12) \u00d7 100 = <strong>20%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 46:<\/strong> M\u1ed9t tour du l\u1ecbch gi\u00e1 5 tri\u1ec7u \u0111\u01b0\u1ee3c gi\u1ea3m 12%. T\u00ednh s\u1ed1 ti\u1ec1n ti\u1ebft ki\u1ec7m \u0111\u01b0\u1ee3c.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 ti\u1ec1n ti\u1ebft ki\u1ec7m = 5.000.000 \u00d7 12% = 5.000.000 \u00d7 0,12 = <strong>600.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 47:<\/strong> C\u1eeda h\u00e0ng b\u00e1n s\u00e1ch gi\u1ea3m gi\u00e1 20% to\u00e0n b\u1ed9. Mua 5 quy\u1ec3n s\u00e1ch t\u1ed5ng gi\u00e1 g\u1ed1c 250.000\u0111. T\u00ednh ti\u1ec1n tr\u1ea3 th\u1ef1c t\u1ebf.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nTi\u1ec1n tr\u1ea3 = 250.000 \u00d7 (1 \u2212 20%) = 250.000 \u00d7 0,8 = <strong>200.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 48:<\/strong> Sau khi gi\u1ea3m 35%, s\u1ea3n ph\u1ea9m c\u00f2n 650.000\u0111. T\u00ednh gi\u00e1 g\u1ed1c v\u00e0 s\u1ed1 ti\u1ec1n gi\u1ea3m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 g\u1ed1c = 650.000 \/ 0,65 = 1.000.000\u0111<br \/>\nS\u1ed1 ti\u1ec1n gi\u1ea3m = 1.000.000 \u2212 650.000 = <strong>350.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 49:<\/strong> Kh\u00f3a h\u1ecdc online gi\u1ea3m t\u1eeb 2.000.000\u0111 xu\u1ed1ng 1.400.000\u0111. T\u00ednh ph\u1ea7n tr\u0103m gi\u1ea3m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% gi\u1ea3m = ((2.000.000 \u2212 1.400.000) \/ 2.000.000) \u00d7 100 = (600.000 \/ 2.000.000) \u00d7 100 = <strong>30%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fef9c3; border-left: 4px solid #eab308; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 50:<\/strong> Mua 3 s\u1ea3n ph\u1ea9m: \u00e1o 500.000\u0111, qu\u1ea7n 700.000\u0111, gi\u00e0y 800.000\u0111. \u0110\u01b0\u1ee3c gi\u1ea3m 10% t\u1ed5ng h\u00f3a \u0111\u01a1n. T\u00ednh s\u1ed1 ti\u1ec1n tr\u1ea3.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng h\u00f3a \u0111\u01a1n = 500.000 + 700.000 + 800.000 = 2.000.000\u0111<br \/>\nS\u1ed1 ti\u1ec1n tr\u1ea3 = 2.000.000 \u00d7 (1 \u2212 10%) = 2.000.000 \u00d7 0,9 = <strong>1.800.000\u0111<\/strong><\/p>\n<\/div>\n<h3>D\u1ea1ng 6: B\u00e0i To\u00e1n L\u00e3i Su\u1ea5t &#038; \u0110i\u1ec3m S\u1ed1 (10 B\u00e0i)<\/h3>\n<p><strong>L\u00e3i su\u1ea5t \u0111\u01a1n:<\/strong> L\u00e3i = V\u1ed1n \u00d7 L\u00e3i su\u1ea5t% \u00d7 S\u1ed1 k\u1ef3 | <strong>\u0110i\u1ec3m s\u1ed1:<\/strong> % \u0111\u00fang = (S\u1ed1 c\u00e2u \u0111\u00fang \/ T\u1ed5ng c\u00e2u) \u00d7 100. Xem th\u00eam <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram-diem-thi\/\" title=\"T\u00ednh ph\u1ea7n tr\u0103m \u0111i\u1ec3m thi\">c\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m \u0111i\u1ec3m thi<\/a>.<\/p>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 51:<\/strong> G\u1eedi 50 tri\u1ec7u v\u00e0o ng\u00e2n h\u00e0ng l\u00e3i su\u1ea5t 7,2%\/n\u0103m trong 1 n\u0103m. T\u00ednh ti\u1ec1n l\u00e3i.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nTi\u1ec1n l\u00e3i = 50.000.000 \u00d7 7,2% \u00d7 1 = 50.000.000 \u00d7 0,072 = <strong>3.600.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 52:<\/strong> B\u00e0i ki\u1ec3m tra 40 c\u00e2u, An l\u00e0m \u0111\u00fang 34 c\u00e2u. T\u00ednh ph\u1ea7n tr\u0103m \u0111\u00fang c\u1ee7a An.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% \u0111\u00fang = (34 \/ 40) \u00d7 100 = 0,85 \u00d7 100 = <strong>85%<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 53:<\/strong> Vay 100 tri\u1ec7u l\u00e3i su\u1ea5t 9%\/n\u0103m trong 3 n\u0103m. T\u00ednh t\u1ed5ng ti\u1ec1n l\u00e3i ph\u1ea3i tr\u1ea3.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng l\u00e3i = 100.000.000 \u00d7 9% \u00d7 3 = 100.000.000 \u00d7 0,09 \u00d7 3 = <strong>27.000.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 54:<\/strong> B\u00e0i thi 50 c\u00e2u, B\u00ecnh \u0111\u00fang 90% s\u1ed1 c\u00e2u. T\u00ednh s\u1ed1 c\u00e2u B\u00ecnh l\u00e0m \u0111\u00fang.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u00e2u \u0111\u00fang = 50 \u00d7 90% = 50 \u00d7 0,9 = <strong>45 c\u00e2u<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 55:<\/strong> G\u1eedi ti\u1ebft ki\u1ec7m 20 tri\u1ec7u trong 6 th\u00e1ng l\u00e3i su\u1ea5t 6%\/n\u0103m. T\u00ednh l\u00e3i nh\u1eadn \u0111\u01b0\u1ee3c.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nL\u00e3i = 20.000.000 \u00d7 6% \u00d7 (6\/12) = 20.000.000 \u00d7 0,06 \u00d7 0,5 = <strong>600.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 56:<\/strong> Thi THPT 120 c\u00e2u. \u0110i\u1ec3m \u0111\u1ed7 khi \u0111\u00fang \u2265 60%. T\u00ednh s\u1ed1 c\u00e2u t\u1ed1i thi\u1ec3u c\u1ea7n \u0111\u00fang.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u00e2u t\u1ed1i thi\u1ec3u = 120 \u00d7 60% = 120 \u00d7 0,6 = <strong>72 c\u00e2u<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 57:<\/strong> Ng\u00e2n h\u00e0ng cho vay 200 tri\u1ec7u, l\u00e3i 1,5%\/th\u00e1ng. T\u00ednh l\u00e3i th\u00e1ng \u0111\u1ea7u.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nL\u00e3i th\u00e1ng \u0111\u1ea7u = 200.000.000 \u00d7 1,5% = 200.000.000 \u00d7 0,015 = <strong>3.000.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 58:<\/strong> K\u1ef3 thi c\u00f3 5 m\u00f4n. \u0110i\u1ec3m trung b\u00ecnh 7.0. M\u00f4n To\u00e1n 8.5, V\u0103n 6.0, Anh 7.5, L\u00fd 7.0, H\u00f3a ?. T\u00ecm \u0111i\u1ec3m H\u00f3a v\u00e0 t\u00ednh ph\u1ea7n tr\u0103m so v\u1edbi \u0111i\u1ec3m t\u1ed1i \u0111a (10).<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng 5 m\u00f4n = 7.0 \u00d7 5 = 35 \u0111i\u1ec3m<br \/>\n\u0110i\u1ec3m H\u00f3a = 35 \u2212 (8.5 + 6.0 + 7.5 + 7.0) = 35 \u2212 29 = 6.0 \u0111i\u1ec3m<br \/>\n% so v\u1edbi max = (6.0 \/ 10) \u00d7 100 = <strong>60%<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 59:<\/strong> H\u1ecdc sinh \u0111\u1ea1t 78% trong b\u00e0i thi 200 c\u00e2u. T\u00ednh s\u1ed1 c\u00e2u \u0111\u00fang v\u00e0 s\u1ed1 c\u00e2u sai.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u00e2u \u0111\u00fang = 200 \u00d7 78% = 156 c\u00e2u<br \/>\nS\u1ed1 c\u00e2u sai = 200 \u2212 156 = <strong>44 c\u00e2u sai, 156 c\u00e2u \u0111\u00fang<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0f7ff; border-left: 4px solid #3b82f6; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 60:<\/strong> Mu\u1ed1n \u0111\u1ea1t 75% b\u00e0i thi 80 c\u00e2u. \u0110\u00e3 l\u00e0m \u0111\u00fang 45 c\u00e2u. C\u1ea7n \u0111\u00fang th\u00eam bao nhi\u00eau c\u00e2u?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 c\u00e2u c\u1ea7n \u0111\u00fang = 80 \u00d7 75% = 60 c\u00e2u<br \/>\nS\u1ed1 c\u00e2u c\u1ea7n \u0111\u00fang th\u00eam = 60 \u2212 45 = <strong>15 c\u00e2u<\/strong><\/p>\n<\/div>\n<p><!-- PH\u1ea6N 3 --><\/p>\n<h2>Ph\u1ea7n 3 \u2014 B\u00e0i T\u1eadp T\u00ednh Ph\u1ea7n Tr\u0103m N\u00e2ng Cao<\/h2>\n<p>Ph\u1ea7n n\u00e0y d\u00e0nh cho h\u1ecdc sinh THPT, sinh vi\u00ean v\u00e0 ng\u01b0\u1eddi \u0111i l\u00e0m. C\u00e1c b\u00e0i t\u1eadp ph\u1ee9c t\u1ea1p h\u01a1n, \u0111\u00f2i h\u1ecfi t\u01b0 duy v\u1eadn d\u1ee5ng t\u1ed5ng h\u1ee3p. Tham kh\u1ea3o th\u00eam <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram\/\" title=\"T\u00ednh ph\u1ea7n tr\u0103m n\u00e2ng cao\">h\u01b0\u1edbng d\u1eabn t\u00ednh ph\u1ea7n tr\u0103m \u0111\u1ea7y \u0111\u1ee7<\/a> v\u00e0 <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram-tren-may-tinh\/\" title=\"T\u00ednh ph\u1ea7n tr\u0103m tr\u00ean m\u00e1y t\u00ednh\">c\u00e1ch d\u00f9ng m\u00e1y t\u00ednh t\u00ednh ph\u1ea7n tr\u0103m<\/a>.<\/p>\n<h3>D\u1ea1ng 7: Ph\u1ea7n Tr\u0103m K\u00e9p \u2014 T\u0103ng\/Gi\u1ea3m Li\u00ean Ti\u1ebfp (10 B\u00e0i)<\/h3>\n<p><strong>C\u00f4ng th\u1ee9c:<\/strong> Gi\u00e1 cu\u1ed1i = Gi\u00e1 \u0111\u1ea7u \u00d7 (1 \u00b1 %1\/100) \u00d7 (1 \u00b1 %2\/100) \u00d7 &#8230;<\/p>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 61:<\/strong> Gi\u00e1 s\u1ea3n ph\u1ea9m t\u0103ng 20% r\u1ed3i gi\u1ea3m 20%. T\u00ednh ph\u1ea7n tr\u0103m thay \u0111\u1ed5i so v\u1edbi gi\u00e1 ban \u0111\u1ea7u.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 cu\u1ed1i = Gi\u00e1 \u0111\u1ea7u \u00d7 1,2 \u00d7 0,8 = Gi\u00e1 \u0111\u1ea7u \u00d7 0,96<br \/>\n\u2192 Gi\u00e1 cu\u1ed1i b\u1eb1ng 96% gi\u00e1 \u0111\u1ea7u \u2192 <strong>gi\u1ea3m 4%<\/strong> so v\u1edbi ban \u0111\u1ea7u<\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 62:<\/strong> Ti\u1ec1n v\u1ed1n t\u0103ng 10% m\u1ed7i n\u0103m trong 2 n\u0103m. V\u1ed1n ban \u0111\u1ea7u 100 tri\u1ec7u. T\u00ednh v\u1ed1n sau 2 n\u0103m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nV\u1ed1n sau 2 n\u0103m = 100.000.000 \u00d7 1,1 \u00d7 1,1 = 100.000.000 \u00d7 1,21 = <strong>121.000.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 63:<\/strong> Gi\u00e1 nh\u00e0 t\u0103ng 30% n\u0103m 1, gi\u1ea3m 15% n\u0103m 2. Nh\u00e0 ban \u0111\u1ea7u gi\u00e1 2 t\u1ef7. T\u00ednh gi\u00e1 sau 2 n\u0103m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 sau 2 n\u0103m = 2.000.000.000 \u00d7 1,3 \u00d7 0,85 = 2.000.000.000 \u00d7 1,105 = <strong>2.210.000.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 64:<\/strong> Doanh s\u1ed1 gi\u1ea3m 10% qu\u00fd 1, t\u0103ng 25% qu\u00fd 2. Doanh s\u1ed1 ban \u0111\u1ea7u 400 tri\u1ec7u. T\u00ednh sau 2 qu\u00fd.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nSau qu\u00fd 2 = 400.000.000 \u00d7 0,9 \u00d7 1,25 = 400.000.000 \u00d7 1,125 = <strong>450.000.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 65:<\/strong> M\u1ed9t s\u1ed1 t\u0103ng 50% r\u1ed3i gi\u1ea3m 50%. K\u1ebft qu\u1ea3 b\u1eb1ng bao nhi\u00eau ph\u1ea7n tr\u0103m s\u1ed1 ban \u0111\u1ea7u?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nK\u1ebft qu\u1ea3 = N \u00d7 1,5 \u00d7 0,5 = N \u00d7 0,75 \u2192 C\u00f2n l\u1ea1i <strong>75%<\/strong> s\u1ed1 ban \u0111\u1ea7u (gi\u1ea3m 25%)<\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 66:<\/strong> L\u00e3i su\u1ea5t k\u00e9p 8%\/n\u0103m. G\u1eedi 50 tri\u1ec7u. T\u00ednh s\u1ed1 ti\u1ec1n sau 3 n\u0103m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng ti\u1ec1n = 50.000.000 \u00d7 (1 + 8%)\u00b3 = 50.000.000 \u00d7 1,08\u00b3 = 50.000.000 \u00d7 1,259712 \u2248 <strong>62.985.600\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 67:<\/strong> C\u1eeda h\u00e0ng \u00e1p d\u1ee5ng: mua 1 t\u1eb7ng 1 (50%), r\u1ed3i th\u00eam m\u00e3 gi\u1ea3m 10%. T\u00ednh t\u1ed5ng ph\u1ea7n tr\u0103m ti\u1ebft ki\u1ec7m th\u1ef1c t\u1ebf.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nSau gi\u1ea3m 50%: c\u00f2n 50% gi\u00e1 \u2192 Gi\u1ea3m th\u00eam 10%: c\u00f2n 50% \u00d7 0,9 = 45%<br \/>\n\u2192 T\u1ed5ng ti\u1ebft ki\u1ec7m = 100% \u2212 45% = <strong>55%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 68:<\/strong> L\u1ea1m ph\u00e1t 5%\/n\u0103m. S\u1ee9c mua 10 tri\u1ec7u n\u0103m nay. T\u00ednh s\u1ee9c mua th\u1ef1c sau 2 n\u0103m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ee9c mua sau 2 n\u0103m = 10.000.000 \/ (1,05)\u00b2 = 10.000.000 \/ 1,1025 \u2248 <strong>9.070.295\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 69:<\/strong> C\u1ed5 phi\u1ebfu t\u0103ng 40%, r\u1ed3i gi\u1ea3m 30%, r\u1ed3i t\u0103ng 20%. Gi\u00e1 ban \u0111\u1ea7u 100.000\u0111. T\u00ednh gi\u00e1 cu\u1ed1i.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 cu\u1ed1i = 100.000 \u00d7 1,4 \u00d7 0,7 \u00d7 1,2 = 100.000 \u00d7 1,176 = <strong>117.600\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fff0f0; border-left: 4px solid #ef4444; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 70:<\/strong> Mu\u1ed1n sau 5 n\u0103m c\u00f3 200 tri\u1ec7u t\u1eeb kho\u1ea3n \u0111\u1ea7u t\u01b0 ban \u0111\u1ea7u, l\u00e3i k\u00e9p 10%\/n\u0103m. C\u1ea7n \u0111\u1ea7u t\u01b0 bao nhi\u00eau ngay b\u00e2y gi\u1edd?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nV\u1ed1n \u0111\u1ea7u t\u01b0 = 200.000.000 \/ (1,1)\u2075 = 200.000.000 \/ 1,61051 \u2248 <strong>124.184.265\u0111<\/strong><\/p>\n<\/div>\n<h3>D\u1ea1ng 8: B\u00e0i To\u00e1n Th\u1ef1c T\u1ebf T\u1ed5ng H\u1ee3p (10 B\u00e0i)<\/h3>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 71:<\/strong> M\u1ed9t nh\u00e0 h\u00e0ng: doanh thu 500 tri\u1ec7u, chi ph\u00ed nguy\u00ean v\u1eadt li\u1ec7u 40%, nh\u00e2n c\u00f4ng 25%, thu\u00ea m\u1eb7t b\u1eb1ng 15%, chi ph\u00ed kh\u00e1c 5%. T\u00ednh l\u1ee3i nhu\u1eadn.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng chi ph\u00ed = (40 + 25 + 15 + 5)% = 85% doanh thu<br \/>\nL\u1ee3i nhu\u1eadn = 500.000.000 \u00d7 (1 \u2212 85%) = 500.000.000 \u00d7 15% = <strong>75.000.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 72:<\/strong> Thu\u1ebf VAT 10% \u0111\u01b0\u1ee3c \u00e1p v\u00e0o gi\u00e1 s\u1ea3n ph\u1ea9m 450.000\u0111 (ch\u01b0a thu\u1ebf). Gi\u00e1 b\u00e1n cu\u1ed1i c\u00f9ng l\u00e0 bao nhi\u00eau?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nThu\u1ebf VAT = 450.000 \u00d7 10% = 45.000\u0111<br \/>\nGi\u00e1 b\u00e1n = 450.000 + 45.000 = <strong>495.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 73:<\/strong> C\u00f4ng ty A c\u00f3 200 nh\u00e2n vi\u00ean, t\u1ec9 l\u1ec7 ngh\u1ec9 vi\u1ec7c 8%\/n\u0103m. T\u00ednh s\u1ed1 nh\u00e2n vi\u00ean c\u1ea7n tuy\u1ec3n m\u1edbi \u0111\u1ec3 duy tr\u00ec quy m\u00f4 sau 2 n\u0103m li\u00ean ti\u1ebfp.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nN\u0103m 1: Nh\u00e2n vi\u00ean ngh\u1ec9 = 200 \u00d7 8% = 16 \u2192 C\u1ea7n tuy\u1ec3n 16<br \/>\nN\u0103m 2: Nh\u00e2n vi\u00ean ngh\u1ec9 = 200 \u00d7 8% = 16 \u2192 C\u1ea7n tuy\u1ec3n 16<br \/>\nT\u1ed5ng tuy\u1ec3n 2 n\u0103m = <strong>32 nh\u00e2n vi\u00ean<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 74:<\/strong> T\u1ec9 l\u1ec7 h\u1ecdc sinh gi\u1ecfi t\u0103ng t\u1eeb 18% l\u00ean 24% trong t\u1ed5ng s\u1ed1 500 h\u1ecdc sinh. T\u00ednh s\u1ed1 h\u1ecdc sinh gi\u1ecfi t\u0103ng th\u00eam.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 HS gi\u1ecfi tr\u01b0\u1edbc = 500 \u00d7 18% = 90<br \/>\nS\u1ed1 HS gi\u1ecfi sau = 500 \u00d7 24% = 120<br \/>\nT\u0103ng th\u00eam = 120 \u2212 90 = <strong>30 h\u1ecdc sinh<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 75:<\/strong> Kh\u1ea3o s\u00e1t 1.000 ng\u01b0\u1eddi: 35% th\u00edch A, 45% th\u00edch B, c\u00f2n l\u1ea1i th\u00edch C. T\u00ednh s\u1ed1 ng\u01b0\u1eddi th\u00edch C.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% th\u00edch C = 100% \u2212 35% \u2212 45% = 20%<br \/>\nS\u1ed1 ng\u01b0\u1eddi th\u00edch C = 1.000 \u00d7 20% = <strong>200 ng\u01b0\u1eddi<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 76:<\/strong> M\u1ed9t h\u1ed9 gia \u0111\u00ecnh chi ti\u00eau: \u0103n u\u1ed1ng 35%, nh\u00e0 \u1edf 20%, gi\u00e1o d\u1ee5c 15%, y t\u1ebf 10%, ti\u1ebft ki\u1ec7m ph\u1ea7n c\u00f2n l\u1ea1i. Thu nh\u1eadp 25 tri\u1ec7u\/th\u00e1ng. T\u00ednh s\u1ed1 ti\u1ec1n ti\u1ebft ki\u1ec7m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% chi ti\u00eau = 35 + 20 + 15 + 10 = 80%<br \/>\n% ti\u1ebft ki\u1ec7m = 20%<br \/>\nS\u1ed1 ti\u1ec1n ti\u1ebft ki\u1ec7m = 25.000.000 \u00d7 20% = <strong>5.000.000\u0111\/th\u00e1ng<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 77:<\/strong> S\u1ea3n ph\u1ea9m nh\u1eadp v\u1edbi gi\u00e1 300.000\u0111. Mu\u1ed1n b\u00e1n v\u1edbi l\u1ee3i nhu\u1eadn 40% tr\u00ean gi\u00e1 nh\u1eadp. \u0110\u1eb7t gi\u00e1 b\u00e1n bao nhi\u00eau? N\u1ebfu gi\u1ea3m 10%, l\u1ee3i nhu\u1eadn th\u1ef1c l\u00e0 bao nhi\u00eau?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 b\u00e1n d\u1ef1 ki\u1ebfn = 300.000 \u00d7 (1 + 40%) = 420.000\u0111<br \/>\nGi\u00e1 b\u00e1n sau gi\u1ea3m 10% = 420.000 \u00d7 0,9 = 378.000\u0111<br \/>\nL\u1ee3i nhu\u1eadn th\u1ef1c = (378.000 \u2212 300.000) \/ 300.000 \u00d7 100 = <strong>26%<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 78:<\/strong> D\u1ef1 \u00e1n ho\u00e0n th\u00e0nh: tu\u1ea7n 1 = 15%, tu\u1ea7n 2 = 28%, tu\u1ea7n 3 = 35%. C\u00f2n l\u1ea1i bao nhi\u00eau ph\u1ea7n tr\u0103m v\u00e0 m\u1ea5t bao nhi\u00eau tu\u1ea7n n\u1ebfu t\u1ed1c \u0111\u1ed9 nh\u01b0 tu\u1ea7n 3?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n\u0110\u00e3 ho\u00e0n th\u00e0nh = 15 + 28 + 35 = 78%<br \/>\nC\u00f2n l\u1ea1i = 22%<br \/>\nTh\u1eddi gian c\u00f2n l\u1ea1i = 22% \/ 35% \u2248 0,63 tu\u1ea7n \u2248 <strong>kho\u1ea3ng 4-5 ng\u00e0y<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 79:<\/strong> M\u1ed9t c\u00f4ng ty t\u0103ng 15% nh\u00e2n vi\u00ean r\u1ed3i gi\u1ea3m 10% do t\u00e1i c\u01a1 c\u1ea5u. B\u1eaft \u0111\u1ea7u c\u00f3 200 ng\u01b0\u1eddi. T\u00ednh s\u1ed1 nh\u00e2n vi\u00ean cu\u1ed1i c\u00f9ng.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nSau t\u0103ng 15% = 200 \u00d7 1,15 = 230<br \/>\nSau gi\u1ea3m 10% = 230 \u00d7 0,9 = <strong>207 nh\u00e2n vi\u00ean<\/strong><\/p>\n<\/div>\n<div style=\"background: #f0fff4; border-left: 4px solid #22c55e; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 80:<\/strong> Ng\u00e2n s\u00e1ch d\u1ef1 \u00e1n 500 tri\u1ec7u. \u0110\u00e3 chi: R&#038;D 30%, Marketing 25%, v\u1eadn h\u00e0nh 20%. H\u1ecfi c\u00f2n bao nhi\u00eau cho d\u1ef1 ph\u00f2ng v\u00e0 ph\u1ea7n tr\u0103m t\u01b0\u01a1ng \u1ee9ng?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n\u0110\u00e3 chi = 30 + 25 + 20 = 75%<br \/>\nC\u00f2n l\u1ea1i = 25% = 500.000.000 \u00d7 25% = <strong>125.000.000\u0111<\/strong><\/p>\n<\/div>\n<p><!-- B\u00e0i 81-100 \u2014 Th\u1ef1c h\u00e0nh t\u1ed5ng h\u1ee3p --><\/p>\n<h3>Th\u1ef1c H\u00e0nh T\u1ed5ng H\u1ee3p \u2014 B\u00e0i 81 \u0111\u1ebfn 100<\/h3>\n<p>20 b\u00e0i cu\u1ed1i l\u00e0 b\u00e0i t\u1eadp h\u1ed7n h\u1ee3p, k\u1ebft h\u1ee3p nhi\u1ec1u k\u1ef9 n\u0103ng c\u00f9ng l\u00fac.<\/p>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 81:<\/strong> T\u00ednh 0,5% c\u1ee7a 80.000.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong> 80.000 \u00d7 0,5% = 80.000 \u00d7 0,005 = <strong>400<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 82:<\/strong> 120 l\u00e0 bao nhi\u00eau % c\u1ee7a 96?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong> (120 \/ 96) \u00d7 100 = 1,25 \u00d7 100 = <strong>125%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 83:<\/strong> Gi\u00e1 t\u0103ng 8% r\u1ed3i t\u0103ng th\u00eam 8% n\u1eefa. T\u1ed5ng t\u0103ng th\u1ef1c l\u00e0 bao nhi\u00eau %?<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong> T\u1ed5ng = (1,08 \u00d7 1,08 \u2212 1) \u00d7 100 = (1,1664 \u2212 1) \u00d7 100 = <strong>16,64%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 84:<\/strong> M\u1ed9t l\u1edbp 45 h\u1ecdc sinh: 60% h\u1ecdc To\u00e1n n\u00e2ng cao, 40% h\u1ecdc V\u0103n n\u00e2ng cao, 20% h\u1ecdc c\u1ea3 hai. T\u00ednh s\u1ed1 h\u1ecdc sinh kh\u00f4ng h\u1ecdc m\u00f4n n\u00e2ng cao n\u00e0o.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% h\u1ecdc \u00edt nh\u1ea5t 1 m\u00f4n = 60 + 40 \u2212 20 = 80%<br \/>\n% kh\u00f4ng h\u1ecdc m\u00f4n n\u00e0o = 20%<br \/>\nS\u1ed1 HS = 45 \u00d7 20% = <strong>9 h\u1ecdc sinh<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 85:<\/strong> T\u1ec9 l\u1ec7 protein trong 100g th\u1ecbt g\u00e0 l\u00e0 27g. Trong kh\u1ea9u ph\u1ea7n \u0103n 250g th\u1ecbt g\u00e0, t\u00ednh l\u01b0\u1ee3ng protein.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong> Protein = 250 \u00d7 27% = 250 \u00d7 0,27 = <strong>67,5g<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 86:<\/strong> Thu\u1ebf thu nh\u1eadp: d\u01b0\u1edbi 5 tri\u1ec7u kh\u00f4ng thu\u1ebf, t\u1eeb 5-10 tri\u1ec7u thu\u1ebf 5%, tr\u00ean 10 tri\u1ec7u thu\u1ebf 10% ph\u1ea7n v\u01b0\u1ee3t. Thu nh\u1eadp 12 tri\u1ec7u. T\u00ednh thu\u1ebf.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n5 tri\u1ec7u \u0111\u1ea7u: 0\u0111<br \/>\n5-10 tri\u1ec7u: 5.000.000 \u00d7 5% = 250.000\u0111<br \/>\n10-12 tri\u1ec7u: 2.000.000 \u00d7 10% = 200.000\u0111<br \/>\nT\u1ed5ng thu\u1ebf = <strong>450.000\u0111<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 87:<\/strong> Dung d\u1ecbch 500ml ch\u1ee9a 30% c\u1ed3n. Th\u00eam 200ml n\u01b0\u1edbc v\u00e0o. T\u00ednh n\u1ed3ng \u0111\u1ed9 c\u1ed3n m\u1edbi.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nL\u01b0\u1ee3ng c\u1ed3n = 500 \u00d7 30% = 150ml<br \/>\nT\u1ed5ng dung d\u1ecbch m\u1edbi = 500 + 200 = 700ml<br \/>\nN\u1ed3ng \u0111\u1ed9 m\u1edbi = (150 \/ 700) \u00d7 100 \u2248 <strong>21,43%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 88:<\/strong> M\u1ed9t shop online: th\u00e1ng 1 c\u00f3 500 \u0111\u01a1n, t\u1ec9 l\u1ec7 ho\u00e0n h\u00e0ng 8%. Th\u00e1ng 2 t\u0103ng 20% \u0111\u01a1n, gi\u1ea3m ho\u00e0n h\u00e0ng xu\u1ed1ng 5%. T\u00ednh s\u1ed1 \u0111\u01a1n ho\u00e0n th\u00e1ng 2.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n\u0110\u01a1n th\u00e1ng 2 = 500 \u00d7 1,2 = 600 \u0111\u01a1n<br \/>\n\u0110\u01a1n ho\u00e0n th\u00e1ng 2 = 600 \u00d7 5% = <strong>30 \u0111\u01a1n ho\u00e0n h\u00e0ng<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 89:<\/strong> Ba c\u1ed5 \u0111\u00f4ng g\u00f3p v\u1ed1n: A = 200 tri\u1ec7u, B = 150 tri\u1ec7u, C = 50 tri\u1ec7u. L\u1ee3i nhu\u1eadn 80 tri\u1ec7u. T\u00ednh ph\u1ea7n l\u1ee3i nhu\u1eadn c\u1ee7a t\u1eebng ng\u01b0\u1eddi.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng v\u1ed1n = 400 tri\u1ec7u<br \/>\nT\u1ec9 l\u1ec7: A = 50%, B = 37,5%, C = 12,5%<br \/>\nA nh\u1eadn = 80 \u00d7 50% = 40 tri\u1ec7u<br \/>\nB nh\u1eadn = 80 \u00d7 37,5% = 30 tri\u1ec7u<br \/>\nC nh\u1eadn = 80 \u00d7 12,5% = <strong>10 tri\u1ec7u<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 90:<\/strong> GDP t\u0103ng tr\u01b0\u1edfng 7% n\u0103m nay, 6,5% n\u0103m sau. GDP ban \u0111\u1ea7u 400 t\u1ef7. T\u00ednh GDP sau 2 n\u0103m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGDP sau 2 n\u0103m = 400 \u00d7 1,07 \u00d7 1,065 = 400 \u00d7 1,13955 \u2248 <strong>455,82 t\u1ef7<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 91:<\/strong> T\u1ec9 l\u1ec7 chuy\u1ec3n \u0111\u1ed5i website: 10.000 kh\u00e1ch \u2192 250 mua h\u00e0ng. T\u00ednh t\u1ec9 l\u1ec7 chuy\u1ec3n \u0111\u1ed5i.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong> (250 \/ 10.000) \u00d7 100 = <strong>2,5%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 92:<\/strong> S\u1ea3n ph\u1ea9m gi\u00e1 g\u1ed1c 1 tri\u1ec7u, markup 60%, sau \u0111\u00f3 gi\u1ea3m gi\u00e1 25%. T\u00ednh gi\u00e1 b\u00e1n cu\u1ed1i v\u00e0 l\u1ee3i nhu\u1eadn %.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nGi\u00e1 sau markup = 1.000.000 \u00d7 1,6 = 1.600.000\u0111<br \/>\nGi\u00e1 b\u00e1n cu\u1ed1i = 1.600.000 \u00d7 0,75 = 1.200.000\u0111<br \/>\nL\u1ee3i nhu\u1eadn = (1.200.000 \u2212 1.000.000) \/ 1.000.000 \u00d7 100 = <strong>20%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 93:<\/strong> 40% h\u1ecdc sinh A th\u00edch nh\u1ea1c, 30% th\u00edch th\u1ec3 thao, 15% th\u00edch c\u1ea3 hai. L\u1edbp 40 em. T\u00ednh s\u1ed1 em kh\u00f4ng th\u00edch c\u00e1i n\u00e0o.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\n% th\u00edch \u00edt nh\u1ea5t 1 = 40 + 30 \u2212 15 = 55%<br \/>\n% kh\u00f4ng th\u00edch g\u00ec = 45%<br \/>\nS\u1ed1 em = 40 \u00d7 45% = <strong>18 em<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 94:<\/strong> T\u1ed5ng l\u01b0\u01a1ng nh\u00f3m 5 ng\u01b0\u1eddi: 15 tri\u1ec7u, 18 tri\u1ec7u, 12 tri\u1ec7u, 22 tri\u1ec7u, 13 tri\u1ec7u. T\u00ednh ph\u1ea7n tr\u0103m l\u01b0\u01a1ng m\u1ed7i ng\u01b0\u1eddi so v\u1edbi t\u1ed5ng nh\u00f3m.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nT\u1ed5ng = 80 tri\u1ec7u<br \/>\nNg\u01b0\u1eddi 1: (15\/80)\u00d7100 = 18,75%<br \/>\nNg\u01b0\u1eddi 2: (18\/80)\u00d7100 = 22,5%<br \/>\nNg\u01b0\u1eddi 3: (12\/80)\u00d7100 = 15%<br \/>\nNg\u01b0\u1eddi 4: (22\/80)\u00d7100 = 27,5%<br \/>\nNg\u01b0\u1eddi 5: (13\/80)\u00d7100 = <strong>16,25%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 95:<\/strong> S\u1ea3n ph\u1ea9m A chi\u1ebfm 45% doanh thu, B 35%, C 20%. N\u1ebfu A t\u0103ng 10%, B gi\u1ea3m 5%, C kh\u00f4ng \u0111\u1ed5i. Doanh thu 1 t\u1ef7. T\u00ednh doanh thu m\u1edbi.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nA m\u1edbi = 450 \u00d7 1,1 = 495 tri\u1ec7u<br \/>\nB m\u1edbi = 350 \u00d7 0,95 = 332,5 tri\u1ec7u<br \/>\nC = 200 tri\u1ec7u<br \/>\nT\u1ed5ng m\u1edbi = <strong>1.027,5 tri\u1ec7u<\/strong> (t\u0103ng 2,75%)<\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 96:<\/strong> N\u01b0\u1edbc cam: 60% n\u01b0\u1edbc, 40% cam. Pha th\u00eam 100ml n\u01b0\u1edbc v\u00e0o 400ml n\u01b0\u1edbc cam. T\u00ednh % cam trong h\u1ed7n h\u1ee3p m\u1edbi.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nL\u01b0\u1ee3ng cam = 400 \u00d7 40% = 160ml<br \/>\nT\u1ed5ng m\u1edbi = 500ml<br \/>\n% cam m\u1edbi = (160\/500) \u00d7 100 = <strong>32%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 97:<\/strong> M\u1ee5c ti\u00eau gi\u1ea3m chi ph\u00ed 15%. Chi ph\u00ed hi\u1ec7n t\u1ea1i 2 t\u1ef7. Sau khi c\u1eaft gi\u1ea3m th\u1ef1c t\u1ebf ch\u1ec9 gi\u1ea3m 240 tri\u1ec7u. T\u00ednh % ho\u00e0n th\u00e0nh m\u1ee5c ti\u00eau.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nM\u1ee5c ti\u00eau gi\u1ea3m = 2.000.000.000 \u00d7 15% = 300.000.000\u0111<br \/>\n% ho\u00e0n th\u00e0nh = (240.000.000 \/ 300.000.000) \u00d7 100 = <strong>80%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 98:<\/strong> \u0110i\u1ec3m IELTS quy ra ph\u1ea7n tr\u0103m: Listening 7.5\/9, Reading 7.0\/9, Writing 6.5\/9, Speaking 7.0\/9. T\u00ednh \u0111i\u1ec3m trung b\u00ecnh v\u00e0 % so v\u1edbi \u0111i\u1ec3m t\u1ed1i \u0111a.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nTB = (7.5 + 7.0 + 6.5 + 7.0) \/ 4 = 28\/4 = 7.0<br \/>\n% so v\u1edbi max = (7.0\/9) \u00d7 100 \u2248 <strong>77,78%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 99:<\/strong> K\u1ebf ho\u1ea1ch s\u1ea3n xu\u1ea5t 5.000 s\u1ea3n ph\u1ea9m. Th\u1ef1c t\u1ebf s\u1ea3n xu\u1ea5t 4.650. T\u1ec9 l\u1ec7 l\u1ed7i 3%. T\u00ednh s\u1ed1 s\u1ea3n ph\u1ea9m \u0111\u1ea1t chu\u1ea9n v\u00e0 % ho\u00e0n th\u00e0nh k\u1ebf ho\u1ea1ch.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ea3n ph\u1ea9m \u0111\u1ea1t chu\u1ea9n = 4.650 \u00d7 (1 \u2212 3%) = 4.650 \u00d7 0,97 = 4.510,5 \u2248 4.510<br \/>\n% ho\u00e0n th\u00e0nh k\u1ebf ho\u1ea1ch = (4.510 \/ 5.000) \u00d7 100 = <strong>90,2%<\/strong><\/p>\n<\/div>\n<div style=\"background: #fdf4ff; border-left: 4px solid #a855f7; padding: 16px; margin: 12px 0; border-radius: 0 8px 8px 0;\">\n<p><strong>B\u00e0i 100:<\/strong> Chi\u1ebfn d\u1ecbch qu\u1ea3ng c\u00e1o: ng\u00e2n s\u00e1ch 50 tri\u1ec7u, \u0111\u1ea1t 12.000 click, t\u1ec9 l\u1ec7 chuy\u1ec3n \u0111\u1ed5i 3,5%, m\u1ed7i \u0111\u01a1n l\u00e3i 200.000\u0111. T\u00ednh ROI (Return on Investment).<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nS\u1ed1 \u0111\u01a1n = 12.000 \u00d7 3,5% = 420 \u0111\u01a1n<br \/>\nDoanh thu l\u00e3i = 420 \u00d7 200.000 = 84.000.000\u0111<br \/>\nROI = ((84.000.000 \u2212 50.000.000) \/ 50.000.000) \u00d7 100 = (34.000.000 \/ 50.000.000) \u00d7 100 = <strong>68%<\/strong><\/p>\n<\/div>\n<p><!-- B\u1ea3ng t\u00f3m t\u1eaft c\u00f4ng th\u1ee9c --><\/p>\n<h2>B\u1ea3ng T\u00f3m T\u1eaft C\u00f4ng Th\u1ee9c T\u00ednh Ph\u1ea7n Tr\u0103m<\/h2>\n<p>T\u1ed5ng h\u1ee3p to\u00e0n b\u1ed9 <a href=\"https:\/\/1phantram.com\/blog\/cong-thuc-tinh-phan-tram\/\" title=\"C\u00f4ng th\u1ee9c t\u00ednh ph\u1ea7n tr\u0103m \u0111\u1ea7y \u0111\u1ee7\">c\u00f4ng th\u1ee9c t\u00ednh ph\u1ea7n tr\u0103m<\/a> hay d\u00f9ng nh\u1ea5t:<\/p>\n<table style=\"width:100%; border-collapse: collapse; margin: 20px 0;\">\n<thead>\n<tr style=\"background: #3b82f6; color: #fff;\">\n<th style=\"padding: 12px; text-align: left; border: 1px solid #ddd;\">D\u1ea1ng b\u00e0i to\u00e1n<\/th>\n<th style=\"padding: 12px; text-align: left; border: 1px solid #ddd;\">C\u00f4ng th\u1ee9c<\/th>\n<th style=\"padding: 12px; text-align: left; border: 1px solid #ddd;\">V\u00ed d\u1ee5<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"background: #f8fafc;\">\n<td style=\"padding: 10px; border: 1px solid #ddd;\">X% c\u1ee7a N l\u00e0 bao nhi\u00eau?<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">(X \u00d7 N) \/ 100<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">20% c\u1ee7a 500 = 100<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">A l\u00e0 bao nhi\u00eau % c\u1ee7a B?<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">(A \/ B) \u00d7 100<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">30\/120 \u00d7 100 = 25%<\/td>\n<\/tr>\n<tr style=\"background: #f8fafc;\">\n<td style=\"padding: 10px; border: 1px solid #ddd;\">X l\u00e0 X% c\u1ee7a s\u1ed1 n\u00e0o?<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">X \u00d7 100 \/ %<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">45 = 30% c\u1ee7a 150<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">Ph\u1ea7n tr\u0103m t\u0103ng\/gi\u1ea3m<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">((M\u1edbi \u2212 C\u0169) \/ C\u0169) \u00d7 100<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">(110\u2212100)\/100 \u00d7 100 = 10%<\/td>\n<\/tr>\n<tr style=\"background: #f8fafc;\">\n<td style=\"padding: 10px; border: 1px solid #ddd;\">Gi\u00e1 sau gi\u1ea3m X%<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">Gi\u00e1 g\u1ed1c \u00d7 (1 \u2212 X\/100)<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">1.000.000 \u00d7 0,8 = 800.000<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">L\u00e3i su\u1ea5t \u0111\u01a1n<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">V\u1ed1n \u00d7 L\u00e3i su\u1ea5t% \u00d7 K\u1ef3<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">100tr \u00d7 7% \u00d7 2 = 14tr<\/td>\n<\/tr>\n<tr style=\"background: #f8fafc;\">\n<td style=\"padding: 10px; border: 1px solid #ddd;\">L\u00e3i k\u00e9p<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">V\u1ed1n \u00d7 (1 + r)\u207f<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">100tr \u00d7 1,07\u00b2 = 114,49tr<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">Ph\u1ea7n tr\u0103m k\u00e9p<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd; font-family: monospace;\">N \u00d7 (1\u00b1%1) \u00d7 (1\u00b1%2)<\/td>\n<td style=\"padding: 10px; border: 1px solid #ddd;\">100 \u00d7 1,2 \u00d7 0,8 = 96<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align:center; margin: 20px 0;\">\n  <a href=\"https:\/\/1phantram.com\" style=\"display: inline-block; background: #3b82f6; color: #fff; padding: 14px 32px; border-radius: 8px; font-weight: bold; font-size: 16px; text-decoration: none;\">\ud83e\uddee D\u00f9ng M\u00e1y T\u00ednh Ph\u1ea7n Tr\u0103m Online<\/a>\n<\/p>\n<p><!-- FAQ --><\/p>\n<h2>C\u00e2u H\u1ecfi Th\u01b0\u1eddng G\u1eb7p V\u1ec1 B\u00e0i T\u1eadp T\u00ednh Ph\u1ea7n Tr\u0103m<\/h2>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh ph\u1ea7n tr\u0103m c\u01a1 b\u1ea3n l\u00e0 g\u00ec?<\/h3>\n<p>C\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n: <strong>Ph\u1ea7n tr\u0103m = (Ph\u1ea7n \/ T\u1ed5ng) \u00d7 100<\/strong>. V\u00ed d\u1ee5: 25\/200 \u00d7 100 = 12,5%. \u0110\u00e2y l\u00e0 n\u1ec1n t\u1ea3ng c\u1ee7a m\u1ecdi b\u00e0i t\u1eadp t\u00ednh ph\u1ea7n tr\u0103m.<\/p>\n<h3>L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 t\u00ednh X% c\u1ee7a m\u1ed9t s\u1ed1 Y?<\/h3>\n<p>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c: <strong>X% c\u1ee7a Y = (X \u00d7 Y) \/ 100<\/strong>. V\u00ed d\u1ee5: 30% c\u1ee7a 500 = (30 \u00d7 500) \/ 100 = 150. C\u00e1ch nh\u1edb nhanh: nh\u00e2n s\u1ed1 v\u1edbi ph\u1ea7n tr\u0103m r\u1ed3i chia 100.<\/p>\n<h3>C\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m t\u0103ng gi\u1ea3m nh\u01b0 th\u1ebf n\u00e0o?<\/h3>\n<p>C\u00f4ng th\u1ee9c: <strong>% Thay \u0111\u1ed5i = ((Gi\u00e1 m\u1edbi \u2212 Gi\u00e1 c\u0169) \/ Gi\u00e1 c\u0169) \u00d7 100<\/strong>. K\u1ebft qu\u1ea3 d\u01b0\u01a1ng l\u00e0 t\u0103ng, \u00e2m l\u00e0 gi\u1ea3m. Xem th\u00eam <a href=\"https:\/\/1phantram.com\/blog\/cach-tinh-phan-tram-tang-giam\/\">h\u01b0\u1edbng d\u1eabn t\u00ednh ph\u1ea7n tr\u0103m t\u0103ng gi\u1ea3m<\/a> \u0111\u1ea7y \u0111\u1ee7.<\/p>\n<h3>Ph\u1ea7n tr\u0103m k\u00e9p l\u00e0 g\u00ec?<\/h3>\n<p>Ph\u1ea7n tr\u0103m k\u00e9p l\u00e0 \u00e1p d\u1ee5ng nhi\u1ec1u l\u1ea7n ph\u1ea7n tr\u0103m li\u00ean ti\u1ebfp. V\u00ed d\u1ee5 t\u0103ng 20% r\u1ed3i gi\u1ea3m 20% <strong>kh\u00f4ng v\u1ec1 gi\u00e1 ban \u0111\u1ea7u<\/strong> m\u00e0 c\u00f2n l\u1ea1i 96%. C\u00f4ng th\u1ee9c: Gi\u00e1 cu\u1ed1i = Gi\u00e1 \u0111\u1ea7u \u00d7 (1 \u00b1 %1) \u00d7 (1 \u00b1 %2).<\/p>\n<h3>L\u00e0m sao t\u00ednh l\u00e3i su\u1ea5t \u0111\u01a1n gi\u1ea3n theo ph\u1ea7n tr\u0103m?<\/h3>\n<p>L\u00e3i = V\u1ed1n \u00d7 L\u00e3i su\u1ea5t% \u00d7 S\u1ed1 k\u1ef3. V\u00ed d\u1ee5: V\u1ed1n 10 tri\u1ec7u, l\u00e3i 6%\/n\u0103m trong 2 n\u0103m \u2192 L\u00e3i = 10.000.000 \u00d7 6% \u00d7 2 = 1.200.000\u0111. D\u00f9ng m\u00e1y t\u00ednh nhanh t\u1ea1i <a href=\"https:\/\/1phantram.com\">1phantram.com<\/a>.<\/p>\n<p><!-- B\u00e0i vi\u1ebft li\u00ean quan --><\/p>\n<h2>B\u00e0i Vi\u1ebft Li\u00ean Quan<\/h2>\n<ul>\n<li>\ud83d\udcd6 <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram\/\" title=\"C\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m \u0111\u1ea7y \u0111\u1ee7\">H\u01b0\u1edbng D\u1eabn T\u00ednh Ph\u1ea7n Tr\u0103m T\u1eeb A \u0110\u1ebfn Z<\/a> \u2014 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng c\u1ea7n n\u1eafm v\u1eefng<\/li>\n<li>\ud83d\udcd0 <a href=\"https:\/\/1phantram.com\/blog\/cong-thuc-tinh-phan-tram\/\" title=\"C\u00f4ng th\u1ee9c t\u00ednh ph\u1ea7n tr\u0103m\">T\u1ed5ng H\u1ee3p C\u00f4ng Th\u1ee9c T\u00ednh Ph\u1ea7n Tr\u0103m<\/a> \u2014 tra c\u1ee9u nhanh khi l\u00e0m b\u00e0i<\/li>\n<li>\ud83d\udcc8 <a href=\"https:\/\/1phantram.com\/blog\/cach-tinh-phan-tram-tang-giam\/\" title=\"C\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m t\u0103ng gi\u1ea3m\">C\u00e1ch T\u00ednh Ph\u1ea7n Tr\u0103m T\u0103ng Gi\u1ea3m<\/a> \u2014 h\u01b0\u1edbng d\u1eabn chuy\u00ean s\u00e2u v\u1edbi v\u00ed d\u1ee5<\/li>\n<li>\ud83d\udda9 <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram-tren-may-tinh\/\" title=\"T\u00ednh ph\u1ea7n tr\u0103m tr\u00ean m\u00e1y t\u00ednh\">C\u00e1ch T\u00ednh Ph\u1ea7n Tr\u0103m Tr\u00ean M\u00e1y T\u00ednh<\/a> \u2014 m\u1eb9o b\u1ea5m m\u00e1y t\u00ednh nhanh<\/li>\n<li>\ud83c\udf93 <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram-diem-thi\/\" title=\"T\u00ednh ph\u1ea7n tr\u0103m \u0111i\u1ec3m thi\">C\u00e1ch T\u00ednh Ph\u1ea7n Tr\u0103m \u0110i\u1ec3m Thi<\/a> \u2014 \u00e1p d\u1ee5ng cho m\u1ecdi k\u1ef3 thi<\/li>\n<\/ul>\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udcd6 Xem th\u00eam: <a href=\"https:\/\/1phantram.com\/blog\/lai-kep-la-gi\/\">l\u00e3i k\u00e9p l\u00e0 g\u00ec<\/a> | <a href=\"https:\/\/1phantram.com\/blog\/tinh-lai-suat-ngan-hang\/\">t\u00ednh l\u00e3i su\u1ea5t ng\u00e2n h\u00e0ng<\/a><\/p>\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udcd6 Xem th\u00eam: <a href=\"https:\/\/1phantram.com\/blog\/huong-dan-tinh-phan-tram-nhanh-va-chinh-xac\/\">H\u01b0\u1edbng d\u1eabn t\u00ednh ph\u1ea7n tr\u0103m nhanh v\u00e0 ch\u00ednh x\u00e1c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n \u0111ang t\u00ecm ki\u1ebfm b\u00e0i t\u1eadp t\u00ednh ph\u1ea7n tr\u0103m c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft t\u1eebng b\u01b0\u1edbc? B\u00e0i vi\u1ebft n\u00e0y t\u1ed5ng h\u1ee3p 100 b\u00e0i t\u1eadp t\u00ednh&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1046,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rank_math_title":"","rank_math_description":"","rank_math_focus_keyword":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-26","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-huong-dan"],"_links":{"self":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts\/26","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/comments?post=26"}],"version-history":[{"count":2,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts\/26\/revisions"}],"predecessor-version":[{"id":89,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts\/26\/revisions\/89"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/media\/1046"}],"wp:attachment":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/media?parent=26"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/categories?post=26"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/tags?post=26"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}