{"id":93420,"date":"2025-06-01T11:50:12","date_gmt":"2025-06-01T11:50:12","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93420"},"modified":"2025-06-01T11:50:12","modified_gmt":"2025-06-01T11:50:12","slug":"the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/","title":{"rendered":"The ratio between the sale price and the cost price of an article is 7"},"content":{"rendered":"

The ratio between the sale price and the cost price of an article is 7:4. What is the ratio between the profit and the cost price of that article?<\/p>\n

[amp_mcq option1=”3:4″ option2=”4:3″ option3=”5:4″ option4=”7:3″ correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CISF-AC-EXE – 2024<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is 3:4.
\n<\/section>\n
\nThe ratio between the sale price (SP) and the cost price (CP) of an article is given as 7:4.
\nThis means that for every 4 units of cost price, the sale price is 7 units.
\nWe can represent this by saying SP = 7k and CP = 4k, where k is a positive constant.
\nProfit (P) is calculated as the difference between the sale price and the cost price:
\nProfit (P) = Sale Price (SP) – Cost Price (CP)
\nP = 7k – 4k = 3k.
\nThe question asks for the ratio between the profit and the cost price.
\nRatio = Profit : Cost Price = P : CP
\nRatio = 3k : 4k.
\nSince k is a common factor in both terms of the ratio (and k is not zero), we can cancel k:
\nRatio = 3 : 4.
\n<\/section>\n
\nProfit percentage is calculated as $(\\text{Profit} \/ \\text{Cost Price}) \\times 100\\%$. In this case, the profit percentage would be $(3k \/ 4k) \\times 100\\% = (3\/4) \\times 100\\% = 75\\%$. The ratio of SP to CP being greater than 1 indicates a profit; if it were less than 1, it would indicate a loss.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The ratio between the sale price and the cost price of an article is 7:4. What is the ratio between the profit and the cost price of that article? [amp_mcq option1=”3:4″ option2=”4:3″ option3=”5:4″ option4=”7:3″ correct=”option1″] This question was previously asked in UPSC CISF-AC-EXE – 2024 Download PDFAttempt Online The correct answer is 3:4. The ratio … <\/p>\n

Detailed SolutionThe ratio between the sale price and the cost price of an article is 7<\/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":[1089],"tags":[1103,1102],"class_list":["post-93420","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1103","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nThe ratio between the sale price and the cost price of an article is 7<\/title>\n<meta name=\"description\" content=\"The correct answer is 3:4. The ratio between the sale price (SP) and the cost price (CP) of an article is given as 7:4. This means that for every 4 units of cost price, the sale price is 7 units. We can represent this by saying SP = 7k and CP = 4k, where k is a positive constant. Profit (P) is calculated as the difference between the sale price and the cost price: Profit (P) = Sale Price (SP) - Cost Price (CP) P = 7k - 4k = 3k. The question asks for the ratio between the profit and the cost price. Ratio = Profit : Cost Price = P : CP Ratio = 3k : 4k. Since k is a common factor in both terms of the ratio (and k is not zero), we can cancel k: Ratio = 3 : 4.\" \/>\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\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The ratio between the sale price and the cost price of an article is 7\" \/>\n<meta property=\"og:description\" content=\"The correct answer is 3:4. The ratio between the sale price (SP) and the cost price (CP) of an article is given as 7:4. This means that for every 4 units of cost price, the sale price is 7 units. We can represent this by saying SP = 7k and CP = 4k, where k is a positive constant. Profit (P) is calculated as the difference between the sale price and the cost price: Profit (P) = Sale Price (SP) - Cost Price (CP) P = 7k - 4k = 3k. The question asks for the ratio between the profit and the cost price. Ratio = Profit : Cost Price = P : CP Ratio = 3k : 4k. Since k is a common factor in both terms of the ratio (and k is not zero), we can cancel k: Ratio = 3 : 4.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:50:12+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":"The ratio between the sale price and the cost price of an article is 7","description":"The correct answer is 3:4. The ratio between the sale price (SP) and the cost price (CP) of an article is given as 7:4. This means that for every 4 units of cost price, the sale price is 7 units. We can represent this by saying SP = 7k and CP = 4k, where k is a positive constant. Profit (P) is calculated as the difference between the sale price and the cost price: Profit (P) = Sale Price (SP) - Cost Price (CP) P = 7k - 4k = 3k. The question asks for the ratio between the profit and the cost price. Ratio = Profit : Cost Price = P : CP Ratio = 3k : 4k. Since k is a common factor in both terms of the ratio (and k is not zero), we can cancel k: Ratio = 3 : 4.","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\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/","og_locale":"en_US","og_type":"article","og_title":"The ratio between the sale price and the cost price of an article is 7","og_description":"The correct answer is 3:4. The ratio between the sale price (SP) and the cost price (CP) of an article is given as 7:4. This means that for every 4 units of cost price, the sale price is 7 units. We can represent this by saying SP = 7k and CP = 4k, where k is a positive constant. Profit (P) is calculated as the difference between the sale price and the cost price: Profit (P) = Sale Price (SP) - Cost Price (CP) P = 7k - 4k = 3k. The question asks for the ratio between the profit and the cost price. Ratio = Profit : Cost Price = P : CP Ratio = 3k : 4k. Since k is a common factor in both terms of the ratio (and k is not zero), we can cancel k: Ratio = 3 : 4.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:50:12+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\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/","name":"The ratio between the sale price and the cost price of an article is 7","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:50:12+00:00","dateModified":"2025-06-01T11:50:12+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is 3:4. The ratio between the sale price (SP) and the cost price (CP) of an article is given as 7:4. This means that for every 4 units of cost price, the sale price is 7 units. We can represent this by saying SP = 7k and CP = 4k, where k is a positive constant. Profit (P) is calculated as the difference between the sale price and the cost price: Profit (P) = Sale Price (SP) - Cost Price (CP) P = 7k - 4k = 3k. The question asks for the ratio between the profit and the cost price. Ratio = Profit : Cost Price = P : CP Ratio = 3k : 4k. Since k is a common factor in both terms of the ratio (and k is not zero), we can cancel k: Ratio = 3 : 4.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-between-the-sale-price-and-the-cost-price-of-an-article-is-7\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CISF-AC-EXE","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cisf-ac-exe\/"},{"@type":"ListItem","position":3,"name":"The ratio between the sale price and the cost price of an article is 7"}]},{"@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\/93420","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=93420"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/93420\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=93420"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=93420"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=93420"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}