{"id":4737,"date":"2024-03-05T16:11:25","date_gmt":"2024-03-05T16:11:25","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=4737"},"modified":"2024-03-05T16:11:25","modified_gmt":"2024-03-05T16:11:25","slug":"in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg\/","title":{"rendered":"In what proportion must a grocer mix tea priced respectively at Rs. 320 per kg and Rs. 560 per kg to make a mixture worth Rs. 480 per kg ?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.33&#8243; option2=&#8221;0.66&#8243; option3=&#8221;0.75&#8243; option4=&#8221;0.5&#8243; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is (d) 0.50.<\/p>\n<p>Let $x$ be the proportion of the cheaper tea and $1-x$ be the proportion of the more expensive tea. The total cost of the mixture is then $320x + 560(1-x) = 480$. Solving for $x$, we get $x = \\frac{1}{2} = 0.50$.<\/p>\n<p>In other words, the grocer must mix 1 part of the cheaper tea with 1 part of the more expensive tea to make a mixture worth Rs. 480 per kg.<\/p>\n<p>Option (a) is incorrect because it would result in a mixture worth less than Rs. 480 per kg. Option (b) is incorrect because it would result in a mixture worth more than Rs. 480 per kg. Option (c) is incorrect because it is not a valid proportion.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.33&#8243; option2=&#8221;0.66&#8243; option3=&#8221;0.75&#8243; option4=&#8221;0.5&#8243; correct=&#8221;option4&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[255],"tags":[],"class_list":["post-4737","post","type-post","status-publish","format-standard","hentry","category-mixtures","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>In what proportion must a grocer mix tea priced respectively at Rs. 320 per kg and Rs. 560 per kg to make a mixture worth Rs. 480 per kg ?<\/title>\n<meta name=\"description\" content=\"Let $x$ be the proportion of the cheaper tea and $1-x$ be the proportion of the more expensive tea. The total cost of the mixture is then $320x + 560(1-x) = 480$. Solving for $x$, we get $x = frac{1}{2} = 0.50$.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In what proportion must a grocer mix tea priced respectively at Rs. 320 per kg and Rs. 560 per kg to make a mixture worth Rs. 480 per kg ?\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the proportion of the cheaper tea and $1-x$ be the proportion of the more expensive tea. The total cost of the mixture is then $320x + 560(1-x) = 480$. Solving for $x$, we get $x = frac{1}{2} = 0.50$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T16:11:25+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"In what proportion must a grocer mix tea priced respectively at Rs. 320 per kg and Rs. 560 per kg to make a mixture worth Rs. 480 per kg ?","description":"Let $x$ be the proportion of the cheaper tea and $1-x$ be the proportion of the more expensive tea. The total cost of the mixture is then $320x + 560(1-x) = 480$. Solving for $x$, we get $x = frac{1}{2} = 0.50$.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg\/","og_locale":"en_US","og_type":"article","og_title":"In what proportion must a grocer mix tea priced respectively at Rs. 320 per kg and Rs. 560 per kg to make a mixture worth Rs. 480 per kg ?","og_description":"Let $x$ be the proportion of the cheaper tea and $1-x$ be the proportion of the more expensive tea. The total cost of the mixture is then $320x + 560(1-x) = 480$. Solving for $x$, we get $x = frac{1}{2} = 0.50$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T16:11:25+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg\/","url":"https:\/\/exam.pscnotes.com\/mcq\/in-what-proportion-must-a-grocer-mix-tea-priced-respectively-at-rs-320-per-kg-and-rs-560-per-kg-to-make-a-mixture-worth-rs-480-per-kg\/","name":"In what proportion must a grocer mix tea priced respectively at Rs. 320 per kg and Rs. 560 per kg to make a mixture worth Rs. 480 per kg ?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T16:11:25+00:00","dateModified":"2024-03-05T16:11:25+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the proportion of the cheaper tea and $1-x$ be the proportion of the more expensive tea. 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