A faulty weighing machine reads 1 kg when 900 gm is weighted on it. The shopkeeper marked the price of his goods by 10%, but unfortunately, he was caught by the metrology department and then they ordered him to repair his weighing machine and gave punishment to sell the goods at 10% discount on cost price for a month. If each customer is now paying 220 for 1 kg, then before the raid amount, they have paid for the same quantity.<\/p>
a) 28.20<\/p>
b) 27.16<\/b><\/p>
c) 25.25<\/p>
d) 20.20<\/p>
Sol:<\/p>
It is given that initially, weighing machine weighs 900 gm instead of 1000 gm\u00a0 So, it means shopkeeper earns 100 gm profit on\u00a0 selling 900 gm goods\u00a0\u00a0 <\/p>
\u21d2<\/span> Profit % = Profit\/C.P.\u00a0\u00d7 100\u00a0\u00a0 <\/p> \u21d2<\/span> Profit% = 100\/900\u00a0\u00d7 100 = 11.11%\u00a0 <\/p> So, he earns this by alteration of weight along with he marked up the price by 10%\u00a0\u00a0 Means his overall profit can be calculated by successive\u00a0\u00a0 <\/p> Overall profit = 11.11 + 10 + (11.11\u00a0\u00d7 10)\/100 = 22.22%\u00a0 But , now the shopkeeper sells the goods at Rs20 per kg after giving 10% discount\u00a0 Actual Cost price of 1kg sugar = 100 \/(100 – 10) \u00d7 20 = 100\/90\u00a0\u00d7 20 = Rs22.22\u00a0 And earlier shopkeeper was selling at 22,22%\u00a0profit\u00a0\u00a0 So, Selling price = (100 + 22.22) \/100\u00a0\u00d7 22.22\u00a0\u00a0 \u21d2<\/span> 122.22\/100\u00a0\u00d722.22 = Rs27.157\u00a0\u00a0\u2248 Rs27.16 ( rounded off to two\u00a0 places of decimals)\u00a0 Hence, they have paid \u20b927.16 for the same quantity .<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":" A faulty weighing machine reads 1 kg when 900 gm is weighted on it. The shopkeeper marked the price of his goods by 10%, but unfortunately, he was caught by the metrology department and then they ordered him to repair his weighing machine and gave punishment to sell the goods at 10% discount on cost […]<\/p>\n","protected":false},"author":419,"featured_media":164598,"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-164597","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\/164597","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=164597"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164597\/revisions"}],"predecessor-version":[{"id":164599,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164597\/revisions\/164599"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164598"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164597"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}