{"id":43494,"date":"2024-04-15T21:30:16","date_gmt":"2024-04-15T21:30:16","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=43494"},"modified":"2024-04-15T21:30:16","modified_gmt":"2024-04-15T21:30:16","slug":"a-and-b-are-partners-sharing-profit-in-the-ratio-of-2-3-they-admit-c-for-frac14textth-share-in-the-business-the-sacrificing-ratio-of-a-and-b-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-and-b-are-partners-sharing-profit-in-the-ratio-of-2-3-they-admit-c-for-frac14textth-share-in-the-business-the-sacrificing-ratio-of-a-and-b-is\/","title":{"rendered":"A and B are partners sharing profit in the ratio of 2 : 3. They admit C for $${\\frac{1}{4}^{{\\text{th}}}}$$ share in the business. The sacrificing ratio of A and B is"},"content":{"rendered":"

[amp_mcq option1=”03:01″ option2=”01:04″ option3=”02:03″ option4=”01:01″ correct=”option1″]<\/p>\n

The correct answer is $\\boxed{\\text{B. 1 : 4}}$.<\/p>\n

To calculate the sacrificing ratio, we first need to calculate the total number of shares in the business after C is admitted. This is done by adding the original number of shares held by A and B to the new share held by C. In this case, the total number of shares is $2 + 3 + \\frac{1}{4} = \\frac{13}{4}$.<\/p>\n

Next, we need to calculate the new share ratio of A and B. This is done by dividing the original number of shares held by each partner by the total number of shares. In this case, the new share ratio of A and B is $\\frac{2}{\\frac{13}{4}} = \\frac{8}{13}$.<\/p>\n

Finally, we can calculate the sacrificing ratio by subtracting the new share ratio from the original share ratio. In this case, the sacrificing ratio of A and B is $\\frac{2}{3} – \\frac{8}{13} = \\boxed{\\frac{1}{4}}$.<\/p>\n

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