{"id":93092,"date":"2025-06-01T11:40:51","date_gmt":"2025-06-01T11:40:51","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93092"},"modified":"2025-06-01T11:40:51","modified_gmt":"2025-06-01T11:40:51","slug":"a-shopkeeper-gives-a-discount-of-10-on-his-items-%e2%82%b9-280-is-the-marked","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-gives-a-discount-of-10-on-his-items-%e2%82%b9-280-is-the-marked\/","title":{"rendered":"A shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked"},"content":{"rendered":"

A shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked price of an item. On selling this item, the shopkeeper earns a profit of 26%. What is the cost price of the item ?<\/p>\n

[amp_mcq option1=”\u20b9 260″ option2=”\u20b9 240″ option3=”\u20b9 200″ option4=”\u20b9 180″ correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CISF-AC-EXE – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe marked price (MP) of the item is \u20b9 280. A discount of 10% is given. The selling price (SP) is calculated after applying the discount on the marked price.
\nDiscount amount = 10% of \u20b9 280 = (10\/100) * 280 = \u20b9 28.
\nSelling Price (SP) = Marked Price – Discount = \u20b9 280 – \u20b9 28 = \u20b9 252.
\n<\/section>\n
\nThe shopkeeper earns a profit of 26% on selling this item. Profit is calculated on the cost price (CP). The selling price is the cost price plus the profit.
\nSP = CP + Profit = CP + 26% of CP = CP + (26\/100) * CP = CP * (1 + 0.26) = 1.26 * CP.
\n<\/section>\n
\nWe have the selling price SP = \u20b9 252 and the relationship SP = 1.26 * CP.
\nSo, 252 = 1.26 * CP.
\nTo find the cost price, divide the selling price by 1.26:
\nCP = 252 \/ 1.26 = 252 \/ (126\/100) = (252 * 100) \/ 126.
\nSince 252 is twice 126 (2 * 126 = 252), the calculation simplifies:
\nCP = (2 * 126 * 100) \/ 126 = 2 * 100 = \u20b9 200.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked price of an item. On selling this item, the shopkeeper earns a profit of 26%. What is the cost price of the item ? [amp_mcq option1=”\u20b9 260″ option2=”\u20b9 240″ option3=”\u20b9 200″ option4=”\u20b9 180″ correct=”option3″] This question was previously asked in … <\/p>\n

Detailed SolutionA shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked<\/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":[1108,1102],"class_list":["post-93092","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1108","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nA shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked<\/title>\n<meta name=\"description\" content=\"The marked price (MP) of the item is \u20b9 280. A discount of 10% is given. The selling price (SP) is calculated after applying the discount on the marked price. Discount amount = 10% of \u20b9 280 = (10\/100) * 280 = \u20b9 28. Selling Price (SP) = Marked Price - Discount = \u20b9 280 - \u20b9 28 = \u20b9 252. The shopkeeper earns a profit of 26% on selling this item. Profit is calculated on the cost price (CP). The selling price is the cost price plus the profit. SP = CP + Profit = CP + 26% of CP = CP + (26\/100) * CP = CP * (1 + 0.26) = 1.26 * CP.\" \/>\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-gives-a-discount-of-10-on-his-items-\u20b9-280-is-the-marked\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked\" \/>\n<meta property=\"og:description\" content=\"The marked price (MP) of the item is \u20b9 280. A discount of 10% is given. The selling price (SP) is calculated after applying the discount on the marked price. Discount amount = 10% of \u20b9 280 = (10\/100) * 280 = \u20b9 28. Selling Price (SP) = Marked Price - Discount = \u20b9 280 - \u20b9 28 = \u20b9 252. The shopkeeper earns a profit of 26% on selling this item. Profit is calculated on the cost price (CP). The selling price is the cost price plus the profit. SP = CP + Profit = CP + 26% of CP = CP + (26\/100) * CP = CP * (1 + 0.26) = 1.26 * CP.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-gives-a-discount-of-10-on-his-items-\u20b9-280-is-the-marked\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:40:51+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 gives a discount of 10% on his items. \u20b9 280 is the marked","description":"The marked price (MP) of the item is \u20b9 280. A discount of 10% is given. The selling price (SP) is calculated after applying the discount on the marked price. Discount amount = 10% of \u20b9 280 = (10\/100) * 280 = \u20b9 28. Selling Price (SP) = Marked Price - Discount = \u20b9 280 - \u20b9 28 = \u20b9 252. The shopkeeper earns a profit of 26% on selling this item. Profit is calculated on the cost price (CP). The selling price is the cost price plus the profit. SP = CP + Profit = CP + 26% of CP = CP + (26\/100) * CP = CP * (1 + 0.26) = 1.26 * CP.","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-gives-a-discount-of-10-on-his-items-\u20b9-280-is-the-marked\/","og_locale":"en_US","og_type":"article","og_title":"A shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked","og_description":"The marked price (MP) of the item is \u20b9 280. A discount of 10% is given. The selling price (SP) is calculated after applying the discount on the marked price. Discount amount = 10% of \u20b9 280 = (10\/100) * 280 = \u20b9 28. Selling Price (SP) = Marked Price - Discount = \u20b9 280 - \u20b9 28 = \u20b9 252. The shopkeeper earns a profit of 26% on selling this item. Profit is calculated on the cost price (CP). The selling price is the cost price plus the profit. SP = CP + Profit = CP + 26% of CP = CP + (26\/100) * CP = CP * (1 + 0.26) = 1.26 * CP.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-gives-a-discount-of-10-on-his-items-\u20b9-280-is-the-marked\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:40:51+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-gives-a-discount-of-10-on-his-items-%e2%82%b9-280-is-the-marked\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-shopkeeper-gives-a-discount-of-10-on-his-items-%e2%82%b9-280-is-the-marked\/","name":"A shopkeeper gives a discount of 10% on his items. \u20b9 280 is the marked","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:40:51+00:00","dateModified":"2025-06-01T11:40:51+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The marked price (MP) of the item is \u20b9 280. 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