Two old partners share profits in the ratio 7:3. A new partner is admitted for a 1/5 share of profits. If the remaining profit is shared between the old partners in their old ratio, what will be the new profit-sharing ratio?

Correct answer: पहला साझेदार : दूसरा साझेदार : नया साझेदार = 14:6:5

The new partner receives \(1/5\), so the profit remaining for the old partners is \(4/5\). Under the old ratio 7:3, the first partner receives \(\frac{4}{5}\times\frac{7}{10}=\frac{14}{25}\), and the second partner receives \(\frac{4}{5}\times\frac{3}{10}=\frac{6}{25}\). The new partner’s share is \(\frac{1}{5}=\frac{5}{25}\). Therefore, the new ratio is 14:6:5. Option B is incorrect because it does not reduce the old partners’ shares to account for the new partner’s share. Exam tip: When the remaining profit is shared in the old ratio, calculate each old partner’s new share as remaining profit × old fraction.