{"id":90982,"date":"2025-06-01T10:42:28","date_gmt":"2025-06-01T10:42:28","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90982"},"modified":"2025-06-01T10:42:28","modified_gmt":"2025-06-01T10:42:28","slug":"a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/","title":{"rendered":"A shopkeeper sells two items, A and B. Item B’s cost price is twice as"},"content":{"rendered":"

A shopkeeper sells two items, A and B. Item B’s cost price is twice as that of item A. The shopkeeper sells item A at 10% profit and item B at 20% profit. Which one of the following is the value of net profit ?<\/p>\n

[amp_mcq option1=”15%” option2=”13.33%” option3=”18%” option4=”16.66%” correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2024<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is D.
\n<\/section>\n
\nLet the cost price of item A be CP_A.
\nLet the cost price of item B be CP_B.
\nGiven: CP_B = 2 * CP_A.
\nFor calculation, let CP_A = \u20b9100.
\nThen CP_B = 2 * \u20b9100 = \u20b9200.
\nTotal Cost Price = CP_A + CP_B = \u20b9100 + \u20b9200 = \u20b9300.
\nItem A is sold at 10% profit.
\nProfit on A = 10% of CP_A = 10% of \u20b9100 = \u20b910.
\nSelling Price of A (SP_A) = CP_A + Profit on A = \u20b9100 + \u20b910 = \u20b9110.
\nItem B is sold at 20% profit.
\nProfit on B = 20% of CP_B = 20% of \u20b9200 = \u20b940.
\nSelling Price of B (SP_B) = CP_B + Profit on B = \u20b9200 + \u20b940 = \u20b9240.
\nTotal Selling Price = SP_A + SP_B = \u20b9110 + \u20b9240 = \u20b9350.
\nNet Profit = Total Selling Price – Total Cost Price = \u20b9350 – \u20b9300 = \u20b950.
\nNet Profit Percentage = (Net Profit \/ Total Cost Price) * 100
\nNet Profit Percentage = (\u20b950 \/ \u20b9300) * 100
\nNet Profit Percentage = (1\/6) * 100 = 100\/6 = 50\/3 = 16.66…%.
\n<\/section>\n
\nAlternatively, using variables:
\nLet CP_A = x. Then CP_B = 2x. Total CP = 3x.
\nSP_A = x + 0.10x = 1.1x.
\nSP_B = 2x + 0.20(2x) = 2x + 0.4x = 2.4x.
\nTotal SP = 1.1x + 2.4x = 3.5x.
\nNet Profit = Total SP – Total CP = 3.5x – 3x = 0.5x.
\nNet Profit Percentage = (0.5x \/ 3x) * 100 = (0.5 \/ 3) * 100 = (1\/6) * 100 = 16.66…%.
\nThis is a weighted average profit. Item B has twice the cost price of A, so its profit contributes twice as much to the total profit in absolute terms. The overall profit percentage is closer to the profit percentage of the more expensive item.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A shopkeeper sells two items, A and B. Item B’s cost price is twice as that of item A. The shopkeeper sells item A at 10% profit and item B at 20% profit. Which one of the following is the value of net profit ? [amp_mcq option1=”15%” option2=”13.33%” option3=”18%” option4=”16.66%” correct=”option4″] This question was previously … <\/p>\n

Detailed SolutionA shopkeeper sells two items, A and B. Item B’s cost price is twice as<\/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":[1103,1102],"class_list":["post-90982","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1103","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nA shopkeeper sells two items, A and B. Item B's cost price is twice as<\/title>\n<meta name=\"description\" content=\"The correct option is D. Let the cost price of item A be CP_A. Let the cost price of item B be CP_B. Given: CP_B = 2 * CP_A. For calculation, let CP_A = \u20b9100. Then CP_B = 2 * \u20b9100 = \u20b9200. Total Cost Price = CP_A + CP_B = \u20b9100 + \u20b9200 = \u20b9300. Item A is sold at 10% profit. Profit on A = 10% of CP_A = 10% of \u20b9100 = \u20b910. Selling Price of A (SP_A) = CP_A + Profit on A = \u20b9100 + \u20b910 = \u20b9110. Item B is sold at 20% profit. Profit on B = 20% of CP_B = 20% of \u20b9200 = \u20b940. Selling Price of B (SP_B) = CP_B + Profit on B = \u20b9200 + \u20b940 = \u20b9240. Total Selling Price = SP_A + SP_B = \u20b9110 + \u20b9240 = \u20b9350. Net Profit = Total Selling Price - Total Cost Price = \u20b9350 - \u20b9300 = \u20b950. Net Profit Percentage = (Net Profit \/ Total Cost Price) * 100 Net Profit Percentage = (\u20b950 \/ \u20b9300) * 100 Net Profit Percentage = (1\/6) * 100 = 100\/6 = 50\/3 = 16.66...%.\" \/>\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\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A shopkeeper sells two items, A and B. Item B's cost price is twice as\" \/>\n<meta property=\"og:description\" content=\"The correct option is D. Let the cost price of item A be CP_A. Let the cost price of item B be CP_B. Given: CP_B = 2 * CP_A. For calculation, let CP_A = \u20b9100. Then CP_B = 2 * \u20b9100 = \u20b9200. Total Cost Price = CP_A + CP_B = \u20b9100 + \u20b9200 = \u20b9300. Item A is sold at 10% profit. Profit on A = 10% of CP_A = 10% of \u20b9100 = \u20b910. Selling Price of A (SP_A) = CP_A + Profit on A = \u20b9100 + \u20b910 = \u20b9110. Item B is sold at 20% profit. Profit on B = 20% of CP_B = 20% of \u20b9200 = \u20b940. Selling Price of B (SP_B) = CP_B + Profit on B = \u20b9200 + \u20b940 = \u20b9240. Total Selling Price = SP_A + SP_B = \u20b9110 + \u20b9240 = \u20b9350. Net Profit = Total Selling Price - Total Cost Price = \u20b9350 - \u20b9300 = \u20b950. Net Profit Percentage = (Net Profit \/ Total Cost Price) * 100 Net Profit Percentage = (\u20b950 \/ \u20b9300) * 100 Net Profit Percentage = (1\/6) * 100 = 100\/6 = 50\/3 = 16.66...%.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:42:28+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":"A shopkeeper sells two items, A and B. Item B's cost price is twice as","description":"The correct option is D. Let the cost price of item A be CP_A. Let the cost price of item B be CP_B. Given: CP_B = 2 * CP_A. For calculation, let CP_A = \u20b9100. Then CP_B = 2 * \u20b9100 = \u20b9200. Total Cost Price = CP_A + CP_B = \u20b9100 + \u20b9200 = \u20b9300. Item A is sold at 10% profit. Profit on A = 10% of CP_A = 10% of \u20b9100 = \u20b910. Selling Price of A (SP_A) = CP_A + Profit on A = \u20b9100 + \u20b910 = \u20b9110. Item B is sold at 20% profit. Profit on B = 20% of CP_B = 20% of \u20b9200 = \u20b940. Selling Price of B (SP_B) = CP_B + Profit on B = \u20b9200 + \u20b940 = \u20b9240. Total Selling Price = SP_A + SP_B = \u20b9110 + \u20b9240 = \u20b9350. Net Profit = Total Selling Price - Total Cost Price = \u20b9350 - \u20b9300 = \u20b950. Net Profit Percentage = (Net Profit \/ Total Cost Price) * 100 Net Profit Percentage = (\u20b950 \/ \u20b9300) * 100 Net Profit Percentage = (1\/6) * 100 = 100\/6 = 50\/3 = 16.66...%.","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\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/","og_locale":"en_US","og_type":"article","og_title":"A shopkeeper sells two items, A and B. Item B's cost price is twice as","og_description":"The correct option is D. Let the cost price of item A be CP_A. Let the cost price of item B be CP_B. Given: CP_B = 2 * CP_A. For calculation, let CP_A = \u20b9100. Then CP_B = 2 * \u20b9100 = \u20b9200. Total Cost Price = CP_A + CP_B = \u20b9100 + \u20b9200 = \u20b9300. Item A is sold at 10% profit. Profit on A = 10% of CP_A = 10% of \u20b9100 = \u20b910. Selling Price of A (SP_A) = CP_A + Profit on A = \u20b9100 + \u20b910 = \u20b9110. Item B is sold at 20% profit. Profit on B = 20% of CP_B = 20% of \u20b9200 = \u20b940. Selling Price of B (SP_B) = CP_B + Profit on B = \u20b9200 + \u20b940 = \u20b9240. Total Selling Price = SP_A + SP_B = \u20b9110 + \u20b9240 = \u20b9350. Net Profit = Total Selling Price - Total Cost Price = \u20b9350 - \u20b9300 = \u20b950. Net Profit Percentage = (Net Profit \/ Total Cost Price) * 100 Net Profit Percentage = (\u20b950 \/ \u20b9300) * 100 Net Profit Percentage = (1\/6) * 100 = 100\/6 = 50\/3 = 16.66...%.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:42:28+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\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/","name":"A shopkeeper sells two items, A and B. Item B's cost price is twice as","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:42:28+00:00","dateModified":"2025-06-01T10:42:28+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is D. Let the cost price of item A be CP_A. Let the cost price of item B be CP_B. Given: CP_B = 2 * CP_A. For calculation, let CP_A = \u20b9100. Then CP_B = 2 * \u20b9100 = \u20b9200. Total Cost Price = CP_A + CP_B = \u20b9100 + \u20b9200 = \u20b9300. Item A is sold at 10% profit. Profit on A = 10% of CP_A = 10% of \u20b9100 = \u20b910. Selling Price of A (SP_A) = CP_A + Profit on A = \u20b9100 + \u20b910 = \u20b9110. Item B is sold at 20% profit. Profit on B = 20% of CP_B = 20% of \u20b9200 = \u20b940. Selling Price of B (SP_B) = CP_B + Profit on B = \u20b9200 + \u20b940 = \u20b9240. Total Selling Price = SP_A + SP_B = \u20b9110 + \u20b9240 = \u20b9350. Net Profit = Total Selling Price - Total Cost Price = \u20b9350 - \u20b9300 = \u20b950. Net Profit Percentage = (Net Profit \/ Total Cost Price) * 100 Net Profit Percentage = (\u20b950 \/ \u20b9300) * 100 Net Profit Percentage = (1\/6) * 100 = 100\/6 = 50\/3 = 16.66...%.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-sells-two-items-a-and-b-item-bs-cost-price-is-twice-as\/#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":"A shopkeeper sells two items, A and B. Item B’s cost price is twice as"}]},{"@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\/90982","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=90982"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90982\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}