{"id":44818,"date":"2024-04-15T21:49:09","date_gmt":"2024-04-15T21:49:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=44818"},"modified":"2024-04-15T21:49:09","modified_gmt":"2024-04-15T21:49:09","slug":"a-and-b-are-partners-in-a-firm-sharing-profit-and-loss-in-the-ratio-of-3-2-they-admit-c-into-partnership-for-frac14textth-share-and-the-new-ratio-between-a-and-b-is-2-1-the","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-and-b-are-partners-in-a-firm-sharing-profit-and-loss-in-the-ratio-of-3-2-they-admit-c-into-partnership-for-frac14textth-share-and-the-new-ratio-between-a-and-b-is-2-1-the\/","title":{"rendered":"A and B are partners in a firm sharing profit and loss in the ratio of 3 : 2. They admit C into partnership for $${\\frac{1}{4}^{{\\text{th}}}}$$ share and the new ratio between A and B is 2 : 1. The sacrificing ratio is"},"content":{"rendered":"

[amp_mcq option1=”01:01″ option2=”02:01″ option3=”03:01″ option4=”02:03″ correct=”option1″]<\/p>\n

The correct answer is $\\boxed{\\text{B. 2 : 1}}$.<\/p>\n

Let $x$ be the amount that A and B originally invested in the business. Then, A’s share of the profit was $\\frac{3}{5}x$ and B’s share was $\\frac{2}{5}x$. When C is admitted, the new total share is $1$ share. Therefore, A and B must give up a total of $\\frac{1}{4}$ share to C. This means that A gives up $\\frac{3}{10}$ share and B gives up $\\frac{2}{10}$ share. The sacrificing ratio is the ratio of the shares given up by A and B, which is $\\frac{3}{10} : \\frac{2}{10} = 3 : 2$.<\/p>\n

Here is a step-by-step solution:<\/p>\n

    \n
  1. Let $x$ be the amount that A and B originally invested in the business.<\/li>\n
  2. A’s share of the profit was $\\frac{3}{5}x$ and B’s share was $\\frac{2}{5}x$.<\/li>\n
  3. When C is admitted, the new total share is $1$ share.<\/li>\n
  4. Therefore, A and B must give up a total of $\\frac{1}{4}$ share to C.<\/li>\n
  5. This means that A gives up $\\frac{3}{10}$ share and B gives up $\\frac{2}{10}$ share.<\/li>\n
  6. The sacrificing ratio is the ratio of the shares given up by A and B, which is $\\frac{3}{10} : \\frac{2}{10} = 3 : 2$.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    [amp_mcq option1=”01:01″ option2=”02:01″ option3=”03:01″ option4=”02:03″ correct=”option1″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[85],"tags":[],"class_list":["post-44818","post","type-post","status-publish","format-standard","hentry","category-accounting","no-featured-image-padding"],"yoast_head":"\nA and B are partners in a firm sharing profit and loss in the ratio of 3 : 2. They admit C into partnership for $${\\frac{1}{4}^{{\\text{th}}}}$$ share and the new ratio between A and B is 2 : 1. The sacrificing ratio is<\/title>\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-and-b-are-partners-in-a-firm-sharing-profit-and-loss-in-the-ratio-of-3-2-they-admit-c-into-partnership-for-frac14textth-share-and-the-new-ratio-between-a-and-b-is-2-1-the\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A and B are partners in a firm sharing profit and loss in the ratio of 3 : 2. They admit C into partnership for $${\\frac{1}{4}^{{\\text{th}}}}$$ share and the new ratio between A and B is 2 : 1. The sacrificing ratio is\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=”01:01″ option2=”02:01″ option3=”03:01″ option4=”02:03″ correct=”option1″]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-and-b-are-partners-in-a-firm-sharing-profit-and-loss-in-the-ratio-of-3-2-they-admit-c-into-partnership-for-frac14textth-share-and-the-new-ratio-between-a-and-b-is-2-1-the\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:49:09+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":"A and B are partners in a firm sharing profit and loss in the ratio of 3 : 2. They admit C into partnership for $${\\frac{1}{4}^{{\\text{th}}}}$$ share and the new ratio between A and B is 2 : 1. The sacrificing ratio is","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-and-b-are-partners-in-a-firm-sharing-profit-and-loss-in-the-ratio-of-3-2-they-admit-c-into-partnership-for-frac14textth-share-and-the-new-ratio-between-a-and-b-is-2-1-the\/","og_locale":"en_US","og_type":"article","og_title":"A and B are partners in a firm sharing profit and loss in the ratio of 3 : 2. They admit C into partnership for $${\\frac{1}{4}^{{\\text{th}}}}$$ share and the new ratio between A and B is 2 : 1. 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