{"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":"

[amp_mcq option1=”15:01:26″ option2=”75:36:49″ option3=”25:15:26″ option4=”20:09:11″ correct=”option1″]<\/p>\n

The correct answer is $\\boxed{\\text{D}}$.<\/p>\n

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

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

The total amount of profit that R, S, and T now share is 5 + 3 + 1 = 9 parts.<\/p>\n

R’s share of the profit is now $\\frac{3}{4} \\times 5 = \\frac{15}{4}$ parts.<\/p>\n

S’s share of the profit is now $\\frac{3}{5} \\times 3 = \\frac{9}{5}$ parts.<\/p>\n

T’s share of the profit is $\\frac{9}{9} = 1$ part.<\/p>\n

Therefore, the new profit sharing ratio of R, S, and T is $\\frac{15}{4} : \\frac{9}{5} : 1 = 20 : 9 : 11$.<\/p>\n

Here is a brief explanation of each option:<\/p>\n