{"id":163904,"date":"2024-03-09T13:49:48","date_gmt":"2024-03-09T08:19:48","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163904"},"modified":"2024-03-09T13:49:49","modified_gmt":"2024-03-09T08:19:49","slug":"a-vessel-contains-208-liters-mixture-of-milk-and-water-mixed-in-the-ratio-11-%e2%88%b6-5-8x-liters-of-mixture-are-taken-out-of-the-vessel","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-vessel-contains-208-liters-mixture-of-milk-and-water-mixed-in-the-ratio-11-%e2%88%b6-5-8x-liters-of-mixture-are-taken-out-of-the-vessel\/","title":{"rendered":"A vessel contains 208 liters\u2019 mixture of milk and water mixed in the ratio 11 \u2236 5. \u20188x\u2019 liters of mixture are taken out of the vessel"},"content":{"rendered":"\n

A vessel contains 208 liters\u2019 mixture of milk and water mixed in the ratio 11 \u2236<\/span> 5. \u20188x\u2019 liters of mixture are taken out of the vessel and replaced with \u20183x – 4\u2019 liters of water so that the ratio of milk to water in the vessel becomes 4 : 3 respectively. Find the difference between the final quantities of milk and water in the vessel.\u00a0 <\/p>

A.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>21 liters <\/p>

B.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>22 liters <\/p>

C.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>23 liters <\/p>

D.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>24 liters<\/p>

\u00a0Answer: 22 liters<\/p>

Sol:<\/p>

A vessel contains 208 liters\u2019 mixture of milk and water mixed in the ratio 11 \u2236<\/span> 5<\/p>

Initial quantity of milk in the vessel = 208 \u00d7 (11\/16) = 143 liters\u00a0 <\/p>

Initial quantity of water in the vessel = 208 \u00d7 (5\/16) = 65 liters\u00a0 <\/p>

So, \u20188x\u2019 liters mixtures contain 5.5x liters milk and 2.5x liters water\u00a0 <\/p>

According to the question,\u00a0 <\/p>

\u21d2<\/span> (143 – 5.5x)\/(65 – 2.5x + 3x – 4) = 4\/3\u00a0 <\/p>

\u21d2<\/span> 429 – 16.5x = 244 + 2x\u00a0 \u21d2<\/span> 18.5x = 185\u00a0 <\/p>

\u21d2<\/span> x = 10\u00a0 <\/p>

So, the final quantity of milk = 143 – 55 = 88 liters\u00a0 <\/p>

Final quantity of water = 65 – 25 + 30 – 4 = 66 liters\u00a0 <\/p>

The difference between the final quantities of milk and water in the vessel = 88 – 66 = 22 liters\u00a0 <\/p>

\u2234<\/span> The required value is 22 liters.<\/p>

\u00a0<\/o:p><\/p> <\/p>\n","protected":false},"excerpt":{"rendered":"

A vessel contains 208 liters\u2019 mixture of milk and water mixed in the ratio 11 \u2236 5. \u20188x\u2019 liters of mixture are taken out of the vessel and replaced with \u20183x – 4\u2019 liters of water so that the ratio of milk to water in the vessel becomes 4 : 3 respectively. Find the difference […]<\/p>\n","protected":false},"author":419,"featured_media":163905,"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-163904","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\/163904","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=163904"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163904\/revisions"}],"predecessor-version":[{"id":163906,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163904\/revisions\/163906"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163905"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163904"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163904"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}