{"id":153209,"date":"2023-07-28T13:51:50","date_gmt":"2023-07-28T08:21:50","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153209"},"modified":"2023-07-28T13:51:51","modified_gmt":"2023-07-28T08:21:51","slug":"a-shopkeeper-sells-his-goods-at-a-profit-of-10-if-he-had-purchased-it-at-20-less-and-sells-it-at-rupees-10-more-he-had-a-gain-of-40-find-the-c-p-of-the-goods","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-shopkeeper-sells-his-goods-at-a-profit-of-10-if-he-had-purchased-it-at-20-less-and-sells-it-at-rupees-10-more-he-had-a-gain-of-40-find-the-c-p-of-the-goods\/","title":{"rendered":"A shopkeeper sells his goods at a profit of 10%. If he had purchased it at 20% less and sells it at rupees 10 more, he had a gain of 40%. Find the C.P of the goods."},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Question<\/td><td colspan=\"2\">A shopkeeper sells his goods at a profit of 10%. If he had purchased it at 20% less and sells it at rupees 10 more, he had a gain of 40%. Find the C.P of the goods.<\/td><\/tr><tr><td>Type<\/td><td colspan=\"2\">multiple_choice<\/td><\/tr><tr><td>Option<\/td><td>500<\/td><td>correct<\/td><\/tr><tr><td>Option<\/td><td>600<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>400<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>200<\/td><td>incorrect<\/td><\/tr><tr><td>Solution<\/td><td colspan=\"2\">Let the C.P of an article is 100.<br>ATQ, S.P will be 110&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; (i)<br>If he has purchased it at 20% less, the new C.P = 100 &#8211; 20= 80 If the C.P is 80, then he earns a profit of 40% and sells the article at Rs 10 more than the previous price.<br>So, when he earns 40%, the new C.P = (40\/100) * 80 = 32 That means if the C.P = 80, the S.P = 80+32 = 112&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. (ii) Compare equation 1 and 2, and we get the difference between S.P is = 2<br>But ATQ, it should be 10, i.e., multiple of 5<br>So, we need to multiply the actual value with 5 then we get actual cost price. Hence, the C.P of the article is = 100 * 5 = 500<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Question A shopkeeper sells his goods at a profit of 10%. If he had purchased it at 20% less and sells it at rupees 10 more, he had a gain of 40%. Find the C.P of the goods. Type multiple_choice Option 500 correct Option 600 incorrect Option 400 incorrect Option 200 incorrect Solution Let the [&hellip;]<\/p>\n","protected":false},"author":984,"featured_media":153212,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-153209","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153209","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/984"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153209"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153209\/revisions"}],"predecessor-version":[{"id":153213,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153209\/revisions\/153213"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153212"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153209"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153209"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}