Question

Aaroh, Bhuvan and Charu were partners in a firm sharing profits and losses in the ratio of 1 : 2 : 6. Charu died. Aaroh and Bhuvan acquired Charu’s share in the ratio of 2 : 1. The new profit-sharing ratio between Aaroh and Bhuvan after Charu’s death will be:

• A. 2 : 1
• B. 1 : 2
• C. 5 : 4
• D. 5 : 6

Hint:

When a partner dies, their share is transferred to the remaining partners in the agreed ratio, and the new profit-sharing ratio is calculated accordingly.

Answer 1

The Correct Option is C

Charu's profit share, which is \( \frac{6}{9} \) of the total profit, is distributed between Aaroh and Bhuvan in a 2:1 ratio. Consequently:- Aaroh's share is calculated as \( \frac{1}{9} + \frac{2}{3} \times \frac{6}{9} \), simplifying to \( \frac{1}{9} + \frac{12}{27} = \frac{15}{27} \), which further reduces to \( \frac{5}{9} \).- Bhuvan's share is determined by \( \frac{2}{9} + \frac{1}{3} \times \frac{6}{9} \), resulting in \( \frac{2}{9} + \frac{6}{27} = \frac{12}{27} + \frac{6}{27} = \frac{9}{27} + \frac{6}{27} \), which equals \( \frac{4}{9} \).The resulting profit-sharing ratio between Aaroh and Bhuvan is therefore 5:4.---