{"id":162676,"date":"2024-02-17T14:26:17","date_gmt":"2024-02-17T08:56:17","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=162676"},"modified":"2024-02-17T14:26:18","modified_gmt":"2024-02-17T08:56:18","slug":"p-liters-mixture-of-milk-and-water-where-milk-is-twice-as-that-of-water","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/p-liters-mixture-of-milk-and-water-where-milk-is-twice-as-that-of-water\/","title":{"rendered":"P liters mixture of milk and water, where milk is twice as that of water"},"content":{"rendered":"\n<p>Q. P liters mixture of milk and water, where milk is twice as that of water. If Q liters of water are added to the mixture, then water becomes 75% of milk. If 3.5Q liters of mixture is removed and replaced by 2Q liters of milk, then quantity of milk in mixture can be_____liters<\/p>\n\n\n\n<p>I. 4Q<\/p>\n\n\n\n<p>II. 6Q<\/p>\n\n\n\n<p>III. 2P\/3<\/p>\n\n\n\n<p>A. I only<\/p>\n\n\n\n<p>B.II only<\/p>\n\n\n\n<p>C.III only<\/p>\n\n\n\n<p>D.I and III only<\/p>\n\n\n\n<p>E.II and III only<\/p>\n\n\n\n<p>Ans: I and III only<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Initial ratio of milk and water in mixture = 2:1<br>Amount of milk in Mixture = 2P\/3<br>Amount of water in mixture = P\/3<br>Now,<br>2P\/3 \/ (P\/3 + Q) = 4\/3<br>2P = 4P\/3 + 4Q<br>2P\/3 = 4Q<br>Value of P = 6Q<br>Now, amount of water in Mixture = 2P\/3 = 2 x<br>6Q\/3 = 4Q<br>Amount of milk in Mixture = 3\/4 x 4Q = 3Q<br>After removal of 3.5Q liters mixture and adding<br>2Q liters water<br>Amount of milk in mixture (4Q \u2013 4\/7 x 3.5Q + 2Q)<br>= 4Q = 2P\/3<br>Only I and III follows<br>Hence answer is option D.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. P liters mixture of milk and water, where milk is twice as that of water. If Q liters of water are added to the mixture, then water becomes 75% of milk. If 3.5Q liters of mixture is removed and replaced by 2Q liters of milk, then quantity of milk in mixture can be_____liters I. [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":162677,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-162676","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\/162676","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=162676"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162676\/revisions"}],"predecessor-version":[{"id":162678,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162676\/revisions\/162678"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162677"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162676"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162676"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162676"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=162676"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}