{"id":93093,"date":"2025-06-01T11:40:52","date_gmt":"2025-06-01T11:40:52","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93093"},"modified":"2025-06-01T11:40:52","modified_gmt":"2025-06-01T11:40:52","slug":"in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/","title":{"rendered":"In order to convert a loss of 5% to a profit of 5%, a shopkeeper raise"},"content":{"rendered":"

In order to convert a loss of 5% to a profit of 5%, a shopkeeper raises the price of an item by \u20b9 500. What is the cost price of the item ?<\/p>\n

[amp_mcq option1=”\u20b9 1,000″ option2=”\u20b9 5,000″ option3=”\u20b9 10,000″ option4=”\u20b9 1,200″ correct=”option2″]<\/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
\nLet the cost price (CP) of the item be \u20b9 x. Initially, the shopkeeper incurs a loss of 5%. The selling price (SP1) in this case is CP – 5% of CP = x – 0.05x = 0.95x. To convert this to a profit of 5%, the new selling price (SP2) must be CP + 5% of CP = x + 0.05x = 1.05x.
\n<\/section>\n
\nThe problem states that the shopkeeper raises the price of the item by \u20b9 500 to achieve the desired change. This means the difference between the new selling price (SP2) and the original selling price (SP1) is \u20b9 500.
\nSP2 – SP1 = \u20b9 500.
\n(1.05x) – (0.95x) = 500.
\n<\/section>\n
\nSubtracting the two expressions for the selling prices in terms of CP (x):
\n(1.05 – 0.95) * x = 500.
\n0.10 * x = 500.
\nTo find x (the cost price), divide 500 by 0.10:
\nx = 500 \/ 0.10 = 500 \/ (1\/10) = 500 * 10 = \u20b9 5,000.
\nThe price increase of \u20b9 500 represents the change from a 5% loss margin to a 5% profit margin, which is a total change of 10% of the cost price (5% below CP to 5% above CP). So, 10% of CP = 500, which directly leads to CP = 5000.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

In order to convert a loss of 5% to a profit of 5%, a shopkeeper raises the price of an item by \u20b9 500. What is the cost price of the item ? [amp_mcq option1=”\u20b9 1,000″ option2=”\u20b9 5,000″ option3=”\u20b9 10,000″ option4=”\u20b9 1,200″ correct=”option2″] This question was previously asked in UPSC CISF-AC-EXE – 2022 Download PDFAttempt … <\/p>\n

Detailed SolutionIn order to convert a loss of 5% to a profit of 5%, a shopkeeper raise<\/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-93093","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":"\nIn order to convert a loss of 5% to a profit of 5%, a shopkeeper raise<\/title>\n<meta name=\"description\" content=\"Let the cost price (CP) of the item be \u20b9 x. Initially, the shopkeeper incurs a loss of 5%. The selling price (SP1) in this case is CP - 5% of CP = x - 0.05x = 0.95x. To convert this to a profit of 5%, the new selling price (SP2) must be CP + 5% of CP = x + 0.05x = 1.05x. The problem states that the shopkeeper raises the price of the item by \u20b9 500 to achieve the desired change. This means the difference between the new selling price (SP2) and the original selling price (SP1) is \u20b9 500. SP2 - SP1 = \u20b9 500. (1.05x) - (0.95x) = 500.\" \/>\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\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In order to convert a loss of 5% to a profit of 5%, a shopkeeper raise\" \/>\n<meta property=\"og:description\" content=\"Let the cost price (CP) of the item be \u20b9 x. Initially, the shopkeeper incurs a loss of 5%. The selling price (SP1) in this case is CP - 5% of CP = x - 0.05x = 0.95x. To convert this to a profit of 5%, the new selling price (SP2) must be CP + 5% of CP = x + 0.05x = 1.05x. The problem states that the shopkeeper raises the price of the item by \u20b9 500 to achieve the desired change. This means the difference between the new selling price (SP2) and the original selling price (SP1) is \u20b9 500. SP2 - SP1 = \u20b9 500. (1.05x) - (0.95x) = 500.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:40:52+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":"In order to convert a loss of 5% to a profit of 5%, a shopkeeper raise","description":"Let the cost price (CP) of the item be \u20b9 x. Initially, the shopkeeper incurs a loss of 5%. The selling price (SP1) in this case is CP - 5% of CP = x - 0.05x = 0.95x. To convert this to a profit of 5%, the new selling price (SP2) must be CP + 5% of CP = x + 0.05x = 1.05x. The problem states that the shopkeeper raises the price of the item by \u20b9 500 to achieve the desired change. This means the difference between the new selling price (SP2) and the original selling price (SP1) is \u20b9 500. SP2 - SP1 = \u20b9 500. (1.05x) - (0.95x) = 500.","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\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/","og_locale":"en_US","og_type":"article","og_title":"In order to convert a loss of 5% to a profit of 5%, a shopkeeper raise","og_description":"Let the cost price (CP) of the item be \u20b9 x. Initially, the shopkeeper incurs a loss of 5%. The selling price (SP1) in this case is CP - 5% of CP = x - 0.05x = 0.95x. To convert this to a profit of 5%, the new selling price (SP2) must be CP + 5% of CP = x + 0.05x = 1.05x. The problem states that the shopkeeper raises the price of the item by \u20b9 500 to achieve the desired change. This means the difference between the new selling price (SP2) and the original selling price (SP1) is \u20b9 500. SP2 - SP1 = \u20b9 500. (1.05x) - (0.95x) = 500.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:40:52+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\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/","url":"https:\/\/exam.pscnotes.com\/mcq\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/","name":"In order to convert a loss of 5% to a profit of 5%, a shopkeeper raise","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:40:52+00:00","dateModified":"2025-06-01T11:40:52+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let the cost price (CP) of the item be \u20b9 x. Initially, the shopkeeper incurs a loss of 5%. The selling price (SP1) in this case is CP - 5% of CP = x - 0.05x = 0.95x. To convert this to a profit of 5%, the new selling price (SP2) must be CP + 5% of CP = x + 0.05x = 1.05x. The problem states that the shopkeeper raises the price of the item by \u20b9 500 to achieve the desired change. This means the difference between the new selling price (SP2) and the original selling price (SP1) is \u20b9 500. SP2 - SP1 = \u20b9 500. (1.05x) - (0.95x) = 500.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-order-to-convert-a-loss-of-5-to-a-profit-of-5-a-shopkeeper-raise\/#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":"In order to convert a loss of 5% to a profit of 5%, a shopkeeper raise"}]},{"@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\/93093","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=93093"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/93093\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=93093"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=93093"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=93093"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}