{"id":4059,"date":"2024-03-05T16:00:28","date_gmt":"2024-03-05T16:00:28","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=4059"},"modified":"2024-03-05T16:00:28","modified_gmt":"2024-03-05T16:00:28","slug":"a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of\/","title":{"rendered":"A man bought some rice at the rate of ? 15\/kg and some other quantity at the rate of ? 24\/kg. He mixed them and sold at the rate of ? 21.60\/kg gaining a profit of 20%. What was the respective ratio of the two varieties ?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;01:02&#8243; option2=&#8221;02:01&#8243; option3=&#8221;03:02&#8243; option4=&#8221;02:03&#8243; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is (b), 2:1.<\/p>\n<p>Let $x$ be the quantity of rice bought at 15\/kg and $y$ be the quantity of rice bought at 24\/kg. We know that the total quantity of rice is $x+y$. We also know that the total cost of the rice is 15x+24y, and the total selling price is 21.6(x+y). We can set up an equation to find the profit:<\/p>\n<p>15x+24y = 21.6(x+y)<\/p>\n<p>15x+24y = 21.6x+21.6y<\/p>\n<p>3x = 0.6y<\/p>\n<p>x = 0.2y<\/p>\n<p>This means that the ratio of the two quantities of rice is 2:1.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;01:02&#8243; option2=&#8221;02:01&#8243; option3=&#8221;03:02&#8243; option4=&#8221;02:03&#8243; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[401],"tags":[],"class_list":["post-4059","post","type-post","status-publish","format-standard","hentry","category-profit-and-loss","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>A man bought some rice at the rate of ? 15\/kg and some other quantity at the rate of ? 24\/kg. He mixed them and sold at the rate of ? 21.60\/kg gaining a profit of 20%. What was the respective ratio of the two varieties ?<\/title>\n<meta name=\"description\" content=\"Let $x$ be the quantity of rice bought at 15\/kg and $y$ be the quantity of rice bought at 24\/kg. We know that the total quantity of rice is $x+y$. We also know that the total cost of the rice is 15x+24y, and the total selling price is 21.6(x+y). We can set up an equation to find the profit:\" \/>\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\/a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A man bought some rice at the rate of ? 15\/kg and some other quantity at the rate of ? 24\/kg. He mixed them and sold at the rate of ? 21.60\/kg gaining a profit of 20%. What was the respective ratio of the two varieties ?\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the quantity of rice bought at 15\/kg and $y$ be the quantity of rice bought at 24\/kg. We know that the total quantity of rice is $x+y$. We also know that the total cost of the rice is 15x+24y, and the total selling price is 21.6(x+y). We can set up an equation to find the profit:\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T16:00:28+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<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A man bought some rice at the rate of ? 15\/kg and some other quantity at the rate of ? 24\/kg. He mixed them and sold at the rate of ? 21.60\/kg gaining a profit of 20%. What was the respective ratio of the two varieties ?","description":"Let $x$ be the quantity of rice bought at 15\/kg and $y$ be the quantity of rice bought at 24\/kg. We know that the total quantity of rice is $x+y$. We also know that the total cost of the rice is 15x+24y, and the total selling price is 21.6(x+y). We can set up an equation to find the profit:","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\/a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of\/","og_locale":"en_US","og_type":"article","og_title":"A man bought some rice at the rate of ? 15\/kg and some other quantity at the rate of ? 24\/kg. He mixed them and sold at the rate of ? 21.60\/kg gaining a profit of 20%. What was the respective ratio of the two varieties ?","og_description":"Let $x$ be the quantity of rice bought at 15\/kg and $y$ be the quantity of rice bought at 24\/kg. We know that the total quantity of rice is $x+y$. We also know that the total cost of the rice is 15x+24y, and the total selling price is 21.6(x+y). We can set up an equation to find the profit:","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T16:00:28+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-man-bought-some-rice-at-the-rate-of-15-kg-and-some-other-quantity-at-the-rate-of-24-kg-he-mixed-them-and-sold-at-the-rate-of-21-60-kg-gaining-a-profit-of-20-what-was-the-respective-ratio-of\/","name":"A man bought some rice at the rate of ? 15\/kg and some other quantity at the rate of ? 24\/kg. He mixed them and sold at the rate of ? 21.60\/kg gaining a profit of 20%. What was the respective ratio of the two varieties ?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T16:00:28+00:00","dateModified":"2024-03-05T16:00:28+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the quantity of rice bought at 15\/kg and $y$ be the quantity of rice bought at 24\/kg. We know that the total quantity of rice is $x+y$. We also know that the total cost of the rice is 15x+24y, and the total selling price is 21.6(x+y). 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He mixed them and sold at the rate of ? 21.60\/kg gaining a profit of 20%. 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