Question

Ashu and Basu are partners sharing profits and losses in the ratio of 2:1. Chetan is admitted as a new partner with \( \frac{1}{4} \) share in the profits, which he acquires equally from Ashu and Basu. The new profit-sharing ratio between Ashu, Basu, and Chetan will be:

• A. 13:5:6
• B. 13:2:1
• C. 2:13:5
• D. 1:1:1

Hint:

Always adjust the old partners' shares based on the sacrifice made to the new partner. Simplify ratios to avoid errors.

Answer 1

The Correct Option is A

1. Chetan's share is \( \frac{1}{4} \), leaving \( \frac{3}{4} \) to be shared between Ashu and Basu. 2. Ashu and Basu sacrifice equally: \[ \text{Ashu's new share} = \frac{2}{3} \times \frac{3}{4} + \frac{1}{8} = \frac{13}{24}. \] \[ \text{Basu's new share} = \frac{1}{3} \times \frac{3}{4} + \frac{1}{8} = \frac{5}{24}. \] 3. Chetan's share is \( \frac{1}{4} = \frac{6}{24} \). Thus, the new ratio is \( 13:5:6 \). Hence, the correct answer is  (A).