{"id":153217,"date":"2023-07-28T13:55:57","date_gmt":"2023-07-28T08:25:57","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153217"},"modified":"2023-07-28T13:55:59","modified_gmt":"2023-07-28T08:25:59","slug":"the-c-p-of-an-article-is-equaled-to-the-profit-and-a-shopkeeper-sells-it-in-rs-56-find-the-c-p-of-the-article","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-c-p-of-an-article-is-equaled-to-the-profit-and-a-shopkeeper-sells-it-in-rs-56-find-the-c-p-of-the-article\/","title":{"rendered":"The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article."},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Question<\/td><td colspan=\"2\">The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.<\/td><\/tr><tr><td>Type<\/td><td colspan=\"2\">multiple_choice<\/td><\/tr><tr><td>Option<\/td><td>40<\/td><td>correct<\/td><\/tr><tr><td>Option<\/td><td>60<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>80<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>100<\/td><td>incorrect<\/td><\/tr><tr><td>Solution<\/td><td colspan=\"2\">C.P = Profit %, S.P = 56 (given)<br>Let C.P = Profit % = x <br>Apply formula: <br>S.P = ((100 + Profit %)\/100) * C.P <br>56 = ((100 + x)\/100) * x<br>x<sup>2<\/sup>\u00a0+ 100x = 5600<br>x<sup>2<\/sup>\u00a0+ 100x -5600=0 <br>Now calculate the factors. <br>x<sup>2<\/sup>+ 140x &#8211; 40x- 5600=0<br>(x+140)(x- 40)=0 <br>x= -140 and +40.<br>-ve value is not valid, so the x=40<br>So, C.P = Profit% = 40<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Question The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article. Type multiple_choice Option 40 correct Option 60 incorrect Option 80 incorrect Option 100 incorrect Solution C.P = Profit %, S.P = 56 (given)Let C.P = Profit % = x [&hellip;]<\/p>\n","protected":false},"author":984,"featured_media":153221,"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-153217","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\/153217","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=153217"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153217\/revisions"}],"predecessor-version":[{"id":153222,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153217\/revisions\/153222"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153221"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153217"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153217"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}