{"id":163799,"date":"2024-03-08T08:08:17","date_gmt":"2024-03-08T02:38:17","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163799"},"modified":"2024-03-08T08:08:19","modified_gmt":"2024-03-08T02:38:19","slug":"a-vessel-contains-milk-and-water-in-the-ratio-of-54-and-9-litres-of-mixture-is-removed-from-the-vessel-and-replaced","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-vessel-contains-milk-and-water-in-the-ratio-of-54-and-9-litres-of-mixture-is-removed-from-the-vessel-and-replaced\/","title":{"rendered":"A vessel contains milk and water in the ratio of 5:4 and 9 litres of mixture is removed from the vessel and replaced"},"content":{"rendered":"\n<p> A vessel contains milk and water in the ratio of 5:4 and 9 litres of mixture is removed from the vessel and replaced with 14 litres of water, then the ratio becomes 9:10. Find the final quantity of water in the vessel.<\/p>\n\n\n\n<p>a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 40 litres<\/p>\n\n\n\n<p>b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 45 litres<\/p>\n\n\n\n<p><strong>c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 50 litres<\/strong><\/p>\n\n\n\n<p>d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 36 litres<\/p>\n\n\n\n<p>e)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; None of these<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Initial quantity of milk = 5x<\/p>\n\n\n\n<p>Initial quantity of water = 4x<\/p>\n\n\n\n<p>(5x \u2013 9*5\/9)\/(4x \u2013 9*4\/9 + 14) = 9\/10<\/p>\n\n\n\n<p>(5x \u2013 5)\/(4x + 10) = 9\/10<\/p>\n\n\n\n<p>x = 10<\/p>\n\n\n\n<p>Initial quantity of water = 4 * 10 = 40 litres<\/p>\n\n\n\n<p>Final quantity of water = 4 * 10 \u2013 4 + 14 = 50<\/p>\n\n\n\n<p>litres<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A vessel contains milk and water in the ratio of 5:4 and 9 litres of mixture is removed from the vessel and replaced with 14 litres of water, then the ratio becomes 9:10. Find the final quantity of water in the vessel. a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 40 litres b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 45 litres c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 50 litres d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 36 litres e)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":163806,"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-163799","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\/163799","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=163799"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163799\/revisions"}],"predecessor-version":[{"id":163807,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163799\/revisions\/163807"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163806"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163799"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163799"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}