{"id":48999,"date":"2024-04-15T22:49:28","date_gmt":"2024-04-15T22:49:28","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=48999"},"modified":"2024-04-15T22:49:28","modified_gmt":"2024-04-15T22:49:28","slug":"r-and-s-are-partners-sharing-profits-in-the-ratio-of-5-3-t-joins-the-firm-as-a-new-partner-r-given-frac14textth-of-his-share-and-s-given-frac25textth-of-h","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/r-and-s-are-partners-sharing-profits-in-the-ratio-of-5-3-t-joins-the-firm-as-a-new-partner-r-given-frac14textth-of-his-share-and-s-given-frac25textth-of-h\/","title":{"rendered":"R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R given $${\\frac{1}{4}^{{\\text{th}}}}$$ of his share and S given $${\\frac{2}{5}^{{\\text{th}}}}$$ of his share to new partner. New profit sharing ratio of R, S and T will be"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a971de3ccb25\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    15:01:26                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    75:36:49                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    25:15:26                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    20:09:11                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{D}}$.<\/p>\n<p>Initially, R and S share the profits in the ratio of 5 : 3. This means that R gets 5 parts of the profit and S gets 3 parts of the profit.<\/p>\n<p>When T joins the firm, R gives $\\frac{1}{4}$ of his share to T and S gives $\\frac{2}{5}$ of his share to T. This means that R now gets $\\frac{3}{4}$ of his original share and S now gets $\\frac{3}{5}$ of his original share.<\/p>\n<p>The total amount of profit that R, S, and T now share is 5 + 3 + 1 = 9 parts.<\/p>\n<p>R&#8217;s share of the profit is now $\\frac{3}{4} \\times 5 = \\frac{15}{4}$ parts.<\/p>\n<p>S&#8217;s share of the profit is now $\\frac{3}{5} \\times 3 = \\frac{9}{5}$ parts.<\/p>\n<p>T&#8217;s share of the profit is $\\frac{9}{9} = 1$ part.<\/p>\n<p>Therefore, the new profit sharing ratio of R, S, and T is $\\frac{15}{4} : \\frac{9}{5} : 1 = 20 : 9 : 11$.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: This option is incorrect because it does not <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> take into account the fact that R and S give some of their shares to T.<\/li>\n<li>Option B: This option is incorrect because it does not take into account the fact that R and S give different amounts of their shares to T.<\/li>\n<li>Option C: This option is incorrect because it does not take into account the fact that the total amount of profit that R, S, and T now share is 9 parts.<\/li>\n<li>Option D: This option is correct because it takes into account all of the factors mentioned above.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Subscribe on YouTube<\/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":[],"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>R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R given $${\\frac{1}{4}^{{\\text{th}}}}$$ of his share and S given $${\\frac{2}{5}^{{\\text{th}}}}$$ of his share to new partner. New profit sharing ratio of R, S and T will be<\/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\/r-and-s-are-partners-sharing-profits-in-the-ratio-of-5-3-t-joins-the-firm-as-a-new-partner-r-given-frac14textth-of-his-share-and-s-given-frac25textth-of-h\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R given $${\\frac{1}{4}^{{\\text{th}}}}$$ of his share and S given $${\\frac{2}{5}^{{\\text{th}}}}$$ of his share to new partner. 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T joins the firm as a new partner. R given $${\\frac{1}{4}^{{\\text{th}}}}$$ of his share and S given $${\\frac{2}{5}^{{\\text{th}}}}$$ of his share to new partner. New profit sharing ratio of R, S and T will be","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\/r-and-s-are-partners-sharing-profits-in-the-ratio-of-5-3-t-joins-the-firm-as-a-new-partner-r-given-frac14textth-of-his-share-and-s-given-frac25textth-of-h\/","og_locale":"en_US","og_type":"article","og_title":"R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R given $${\\frac{1}{4}^{{\\text{th}}}}$$ of his share and S given $${\\frac{2}{5}^{{\\text{th}}}}$$ of his share to new partner. 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T joins the firm as a new partner. R given $${\\frac{1}{4}^{{\\text{th}}}}$$ of his share and S given $${\\frac{2}{5}^{{\\text{th}}}}$$ of his share to new partner. New profit sharing ratio of R, S and T will be","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T22:49:28+00:00","dateModified":"2024-04-15T22:49:28+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/r-and-s-are-partners-sharing-profits-in-the-ratio-of-5-3-t-joins-the-firm-as-a-new-partner-r-given-frac14textth-of-his-share-and-s-given-frac25textth-of-h\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/r-and-s-are-partners-sharing-profits-in-the-ratio-of-5-3-t-joins-the-firm-as-a-new-partner-r-given-frac14textth-of-his-share-and-s-given-frac25textth-of-h\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/r-and-s-are-partners-sharing-profits-in-the-ratio-of-5-3-t-joins-the-firm-as-a-new-partner-r-given-frac14textth-of-his-share-and-s-given-frac25textth-of-h\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"accounting","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/accounting\/"},{"@type":"ListItem","position":4,"name":"R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R given $${\\frac{1}{4}^{{\\text{th}}}}$$ of his share and S given $${\\frac{2}{5}^{{\\text{th}}}}$$ of his share to new partner. New profit sharing ratio of R, S and T will be"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/48999"}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=48999"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/48999\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=48999"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=48999"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=48999"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}