Question

Varsha, Aryan and Nimit were partners in a firm sharing profits and losses in the ratio of 2 : 2 : 1. Varsha retired and surrendered 1/3rd of her share in favour of Aryan and the remaining share in favour of Nimit. The new profit sharing ratio between Aryan and Nimit will be :

• A. 2 : 1
• B. 8 : 7
• C. 1 : 2
• D. 1 : 1

Hint:

Always split the outgoing partner’s share as per given ratio, then add the gain to the existing shares of continuing partners.

Answer 1

The Correct Option is B

Varsha's original share is \( \frac{2}{5} \).
This is divided as follows:
- Aryan receives \( \frac{1}{3} \) of Varsha's share, which is \( \frac{1}{3} \times \frac{2}{5} = \frac{2}{15} \).
- Nimit receives \( \frac{2}{3} \) of Varsha's share, which is \( \frac{2}{3} \times \frac{2}{5} = \frac{4}{15} \).

After this distribution, the new shares are:
- Aryan's new share is his original share (assumed to be \( \frac{2}{5} \)) plus the amount from Varsha: \( \frac{2}{5} + \frac{2}{15} = \frac{8}{15} \).
- Nimit's new share is his original share (assumed to be \( \frac{1}{5} \)) plus the amount from Varsha: \( \frac{1}{5} + \frac{4}{15} = \frac{7}{15} \).

The new ratio of shares is 8 : 7.