Q. A milkman has 100 liters of pure milk. \u2019a’ liters of milk is taken out and sold at 37.5% more than the cost price of the milk. After that \u201837.5a%\u2019 liters of water are added to the remaining milk. Then the remaining quantity of the mixture is sold at 33.33\u2105 less than the cost price of the milk. The ratio of the selling price of \u2018a\u2019 liters of milk and the remaining mixture is 11: 10 and the cost price of the pure milk is 0.6a. Find the difference between \u2018a’ liters of milk and added water?<\/p>\n\n\n\n
A. 30 liters<\/p>\n\n\n\n
B. 20 liters<\/p>\n\n\n\n
C. 15 liters<\/p>\n\n\n\n
D. 35 liters<\/p>\n\n\n\n
E. None of these<\/strong><\/p>\n\n\n\n Sol:<\/strong><\/p>\n\n\n\n Initially pure milk = 100 liters<\/p>\n\n\n\n \u2018a’ liters of milk is taken out after that Remaining<\/p>\n\n\n\n milk is 100 \u2013 a<\/p>\n\n\n\n 37.5a\u2105 of water added to the remaining mixture<\/p>\n\n\n\n which is 3a\/8<\/p>\n\n\n\n So, 100 \u2013 a + 3a\/8 => (800 \u2013 5a)\/8 liters<\/p>\n\n\n\n Cost Price of the pure milk =0.6a= 3a\/5.<\/p>\n\n\n\n \u2018a’ liters of the milk is sold at 37.5\u2105 above the cp<\/p>\n\n\n\n of milk<\/p>\n\n\n\n So, 3a\/5 * 11\/8 = 33a\/40<\/p>\n\n\n\n Selling price of \u2018a’ litres of milk = a * 33a\/40 =><\/p>\n\n\n\n 33a2\/40<\/p>\n\n\n\n And the remaining quantity is sold at 2\/3 of cp of<\/p>\n\n\n\n milk<\/p>\n\n\n\n = 3a\/5 * 2\/3 => 2a\/5<\/p>\n\n\n\n Selling price of the remaining quantity = ((800 \u2013<\/p>\n\n\n\n 5a) \/ 8) * (2a\/5) = (800a \u2013 5a2\/20)<\/p>\n\n\n\n 33a2\/40 = 11<\/p>\n\n\n\n 800a-5a2\/20 = 10<\/p>\n\n\n\n 3a2\/40 * 20\/800a-5a2 = 1\/10<\/p>\n\n\n\n a = 40<\/p>\n\n\n\n Required difference = 40 \u2013 3\/8(40) = 25 litres<\/p>\n","protected":false},"excerpt":{"rendered":" Q. A milkman has 100 liters of pure milk. \u2019a’ liters of milk is taken out and sold at 37.5% more than the cost price of the milk. After that \u201837.5a%\u2019 liters of water are added to the remaining milk. Then the remaining quantity of the mixture is sold at 33.33\u2105 less than the cost […]<\/p>\n","protected":false},"author":419,"featured_media":162931,"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-162930","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\/162930","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=162930"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162930\/revisions"}],"predecessor-version":[{"id":162932,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162930\/revisions\/162932"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162931"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}