{"id":164859,"date":"2024-03-19T14:48:28","date_gmt":"2024-03-19T09:18:28","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=164859"},"modified":"2024-03-19T14:48:30","modified_gmt":"2024-03-19T09:18:30","slug":"a-shopkeeper-increases-the-selling-price-of-an-article-by-15-after-increasing-the-selling-price-he-noticed-that-the-profit-percentage","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-shopkeeper-increases-the-selling-price-of-an-article-by-15-after-increasing-the-selling-price-he-noticed-that-the-profit-percentage\/","title":{"rendered":"A shopkeeper increases the selling price of an article by 15%. After increasing the selling price, he noticed that the profit percentage"},"content":{"rendered":"\n<p>A shopkeeper increases the selling price of an article by 15%. After increasing the selling price, he noticed that the profit percentage changed from 5% to 15%. The percentage increase in the cost price is.<\/p>\n\n\n\n<p>a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 4%<\/p>\n\n\n\n<p><strong>b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 5%<\/strong><\/p>\n\n\n\n<p>c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 6%<\/p>\n\n\n\n<p>d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 8%<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Increase in SP of an article = 15%&nbsp;<\/p>\n\n\n\n<p>Profit percentage change = 5% to 15%&nbsp;<\/p>\n\n\n\n<p>Calculation:&nbsp;<\/p>\n\n\n\n<p>A shopkeeper increases the selling price of an article by 15%&nbsp;<\/p>\n\n\n\n<p>Let the initial SP be 100, then later SP will be 115 (increased by 15%)&nbsp;<\/p>\n\n\n\n<p>\u21d2 New SP = (100 + 5)\/100&nbsp;\u00d7 100 = 105\/100&nbsp;\u00d7 100 = 105&nbsp;<\/p>\n\n\n\n<p>Now on initial SP, he got 5% profit,&nbsp;&nbsp;<\/p>\n\n\n\n<p>\u21d2 5% profit = 5\/100 = 1\/20&nbsp; Initial SP = 1 + 20 = 21 units, Initial CP = 20 units&nbsp;<\/p>\n\n\n\n<p>We have assumed that initial SP as&nbsp;100,&nbsp;&nbsp;<\/p>\n\n\n\n<p>\u21d2 21 units&nbsp;= 100&nbsp;&nbsp;<\/p>\n\n\n\n<p>\u21d2 1 unit = 100\/21&nbsp;&nbsp;<\/p>\n\n\n\n<p>Initial CP = 20 units&nbsp;= 20&nbsp;\u00d7 100\/21 = 20\/21&nbsp;\u00d7 100&nbsp;<\/p>\n\n\n\n<p>For later he noticed 15% profit,&nbsp;&nbsp;<\/p>\n\n\n\n<p>\u21d2 15% profit = 15\/100 = 3\/20&nbsp;<\/p>\n\n\n\n<p>Later SP = 3&nbsp;+ 20&nbsp;= 23, Later CP = 20&nbsp;&nbsp;<\/p>\n\n\n\n<p>Later SP is 115 as we have assumed,&nbsp;&nbsp;<\/p>\n\n\n\n<p>\u21d2 23 units = 115&nbsp;<\/p>\n\n\n\n<p>\u21d2 1 unit = 115\/23 = 5,\u00a0 Later CP = 20 units = 20\u00a0\u00d7 5 = 100\u00a0\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"708\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-1024x708.png\" alt=\"\" class=\"wp-image-164860\" style=\"width:258px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-1024x708.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-300x207.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-767x530.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-1536x1062.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-2048x1416.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-217x150.png 217w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-100x69.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-506x350.png 506w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152-788x544.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-152.png 366w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A shopkeeper increases the selling price of an article by 15%. After increasing the selling price, he noticed that the profit percentage changed from 5% to 15%. The percentage increase in the cost price is. a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 4% b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 5% c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 6% d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 8% Sol: Increase in SP of an article = 15%&nbsp; Profit percentage change [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":164861,"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-164859","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\/164859","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\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=164859"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164859\/revisions"}],"predecessor-version":[{"id":164862,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164859\/revisions\/164862"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164861"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164859"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164859"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164859"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}