{"id":89228,"date":"2025-06-01T09:59:24","date_gmt":"2025-06-01T09:59:24","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89228"},"modified":"2025-06-01T09:59:24","modified_gmt":"2025-06-01T09:59:24","slug":"8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/","title":{"rendered":"8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m"},"content":{"rendered":"

8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 mangoes as much as 8 pineapples. If 3 pineapples cost Rs. 36, then an orange’s cost is :<\/p>\n

[amp_mcq option1=”Rs. 9″ option2=”Rs. 12″ option3=”Rs. 6″ option4=”Rs. 15″ correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2009<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nLet O, A, M, P be the costs of one orange, one apple, one mango, and one pineapple respectively.
\nFrom the problem statement:
\n\ud83d\ude2f = 5A
\n5A = 3M
\n4M = 8P
\n3P = 36<\/p>\n

From the last equation:
\n3P = 36 => P = 36 \/ 3 = 12. So, 1 pineapple costs Rs. 12.<\/p>\n

Using the third equation:
\n4M = 8P => 4M = 8 * 12 = 96 => M = 96 \/ 4 = 24. So, 1 mango costs Rs. 24.<\/p>\n

Using the second equation:
\n5A = 3M => 5A = 3 * 24 = 72 => A = 72 \/ 5 = 14.4. So, 1 apple costs Rs. 14.4.<\/p>\n

Using the first equation:
\n\ud83d\ude2f = 5A => \ud83d\ude2f = 72 => O = 72 \/ 8 = 9. So, 1 orange costs Rs. 9.
\n<\/section>\n

\nThe problem involves a chain of equivalences between the costs of different fruits. The strategy is to start from the known cost (pineapples) and work backwards through the given relationships to find the cost of the desired item (oranges).
\n<\/section>\n
\nThis type of problem can also be solved by setting up ratios: O\/A = 5\/8, A\/M = 3\/5, M\/P = 8\/4 = 2\/1. To find the ratio of O to P, we can multiply these ratios: (O\/A) * (A\/M) * (M\/P) = O\/P. However, since we have the direct cost of P, working backwards is more straightforward.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 mangoes as much as 8 pineapples. If 3 pineapples cost Rs. 36, then an orange’s cost is : [amp_mcq option1=”Rs. 9″ option2=”Rs. 12″ option3=”Rs. 6″ option4=”Rs. 15″ correct=”option1″] This question was previously asked in UPSC CAPF – 2009 Download … <\/p>\n

Detailed Solution8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1462,1102],"class_list":["post-89228","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1462","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\n8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m<\/title>\n<meta name=\"description\" content=\"Let O, A, M, P be the costs of one orange, one apple, one mango, and one pineapple respectively. From the problem statement: 8O = 5A 5A = 3M 4M = 8P 3P = 36 From the last equation: 3P = 36 => P = 36 \/ 3 = 12. So, 1 pineapple costs Rs. 12. Using the third equation: 4M = 8P => 4M = 8 * 12 = 96 => M = 96 \/ 4 = 24. So, 1 mango costs Rs. 24. Using the second equation: 5A = 3M => 5A = 3 * 24 = 72 => A = 72 \/ 5 = 14.4. So, 1 apple costs Rs. 14.4. Using the first equation: 8O = 5A => 8O = 72 => O = 72 \/ 8 = 9. So, 1 orange costs Rs. 9. The problem involves a chain of equivalences between the costs of different fruits. The strategy is to start from the known cost (pineapples) and work backwards through the given relationships to find the cost of the desired item (oranges).\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m\" \/>\n<meta property=\"og:description\" content=\"Let O, A, M, P be the costs of one orange, one apple, one mango, and one pineapple respectively. From the problem statement: 8O = 5A 5A = 3M 4M = 8P 3P = 36 From the last equation: 3P = 36 => P = 36 \/ 3 = 12. So, 1 pineapple costs Rs. 12. Using the third equation: 4M = 8P => 4M = 8 * 12 = 96 => M = 96 \/ 4 = 24. So, 1 mango costs Rs. 24. Using the second equation: 5A = 3M => 5A = 3 * 24 = 72 => A = 72 \/ 5 = 14.4. So, 1 apple costs Rs. 14.4. Using the first equation: 8O = 5A => 8O = 72 => O = 72 \/ 8 = 9. So, 1 orange costs Rs. 9. The problem involves a chain of equivalences between the costs of different fruits. The strategy is to start from the known cost (pineapples) and work backwards through the given relationships to find the cost of the desired item (oranges).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T09:59:24+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m","description":"Let O, A, M, P be the costs of one orange, one apple, one mango, and one pineapple respectively. From the problem statement: 8O = 5A 5A = 3M 4M = 8P 3P = 36 From the last equation: 3P = 36 => P = 36 \/ 3 = 12. So, 1 pineapple costs Rs. 12. Using the third equation: 4M = 8P => 4M = 8 * 12 = 96 => M = 96 \/ 4 = 24. So, 1 mango costs Rs. 24. Using the second equation: 5A = 3M => 5A = 3 * 24 = 72 => A = 72 \/ 5 = 14.4. So, 1 apple costs Rs. 14.4. Using the first equation: 8O = 5A => 8O = 72 => O = 72 \/ 8 = 9. So, 1 orange costs Rs. 9. The problem involves a chain of equivalences between the costs of different fruits. The strategy is to start from the known cost (pineapples) and work backwards through the given relationships to find the cost of the desired item (oranges).","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/","og_locale":"en_US","og_type":"article","og_title":"8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m","og_description":"Let O, A, M, P be the costs of one orange, one apple, one mango, and one pineapple respectively. From the problem statement: 8O = 5A 5A = 3M 4M = 8P 3P = 36 From the last equation: 3P = 36 => P = 36 \/ 3 = 12. So, 1 pineapple costs Rs. 12. Using the third equation: 4M = 8P => 4M = 8 * 12 = 96 => M = 96 \/ 4 = 24. So, 1 mango costs Rs. 24. Using the second equation: 5A = 3M => 5A = 3 * 24 = 72 => A = 72 \/ 5 = 14.4. So, 1 apple costs Rs. 14.4. Using the first equation: 8O = 5A => 8O = 72 => O = 72 \/ 8 = 9. So, 1 orange costs Rs. 9. The problem involves a chain of equivalences between the costs of different fruits. The strategy is to start from the known cost (pineapples) and work backwards through the given relationships to find the cost of the desired item (oranges).","og_url":"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T09:59:24+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/","url":"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/","name":"8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T09:59:24+00:00","dateModified":"2025-06-01T09:59:24+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let O, A, M, P be the costs of one orange, one apple, one mango, and one pineapple respectively. From the problem statement: 8O = 5A 5A = 3M 4M = 8P 3P = 36 From the last equation: 3P = 36 => P = 36 \/ 3 = 12. So, 1 pineapple costs Rs. 12. Using the third equation: 4M = 8P => 4M = 8 * 12 = 96 => M = 96 \/ 4 = 24. So, 1 mango costs Rs. 24. Using the second equation: 5A = 3M => 5A = 3 * 24 = 72 => A = 72 \/ 5 = 14.4. So, 1 apple costs Rs. 14.4. Using the first equation: 8O = 5A => 8O = 72 => O = 72 \/ 8 = 9. So, 1 orange costs Rs. 9. The problem involves a chain of equivalences between the costs of different fruits. The strategy is to start from the known cost (pineapples) and work backwards through the given relationships to find the cost of the desired item (oranges).","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/8-oranges-cost-as-much-as-5-apples-5-apples-as-much-as-3-mangoes-4-m\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 m"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89228","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=89228"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89228\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89228"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89228"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}