{"id":163520,"date":"2024-03-05T15:12:00","date_gmt":"2024-03-05T09:42:00","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163520"},"modified":"2024-03-05T15:12:02","modified_gmt":"2024-03-05T09:42:02","slug":"mixture-x-contains-70-of-juice-and-the-remaining-water-mixture-y-of-64-litres-contains-juice-and-water-in-the-ratio","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/mixture-x-contains-70-of-juice-and-the-remaining-water-mixture-y-of-64-litres-contains-juice-and-water-in-the-ratio\/","title":{"rendered":"Mixture X contains 70% of juice and the remaining water, mixture Y of 64 litres contains juice and water in the ratio"},"content":{"rendered":"\n<p>Mixture X contains 70% of juice and the remaining water, mixture Y of 64 litres contains juice and water in the ratio of 3:1, if both are mixed in the third container, then the quantity of water in the final mixture is 29.5liters. Find the total volume of Mixture X (in litres)?<\/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; 35 litres<\/p>\n\n\n\n<p>C.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 50 litres<\/p>\n\n\n\n<p>D.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 60 litres<\/p>\n\n\n\n<p><strong>E.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 45 litres<\/strong><\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Let the initial quantity of mixture X =100x<\/p>\n\n\n\n<p>Amount of juice in the mixture =70% of 100x<\/p>\n\n\n\n<p>=70x<\/p>\n\n\n\n<p>The remaining 30x is water.<\/p>\n\n\n\n<p>Amount of juice in the another mixture = (64\/4) \u00d7<\/p>\n\n\n\n<p>3 = 48litres<\/p>\n\n\n\n<p>Remaining 16litres are water.<\/p>\n\n\n\n<p>It is given that,<\/p>\n\n\n\n<p>30x+16 =29.5<\/p>\n\n\n\n<p>30x =13.5<\/p>\n\n\n\n<p>x=0.45<\/p>\n\n\n\n<p>Total quantity of mixture X =100x = 100(0.45) =<\/p>\n\n\n\n<p>45litres<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mixture X contains 70% of juice and the remaining water, mixture Y of 64 litres contains juice and water in the ratio of 3:1, if both are mixed in the third container, then the quantity of water in the final mixture is 29.5liters. Find the total volume of Mixture X (in litres)? A.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 40 litres [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":163522,"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-163520","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\/163520","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=163520"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163520\/revisions"}],"predecessor-version":[{"id":163523,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163520\/revisions\/163523"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163522"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}