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. \( 4 : 5 \)

Hint:

When a partner dies, their share is distributed among the remaining partners based on the agreed acquisition ratio. The new profit-sharing ratio is calculated by adding the acquired share to each partner's previous share.

Answer 1

The Correct Option is C

Charu’s total share is \( 6 \) parts. Aaroh and Bhuvan acquire Charu’s share in the ratio of \( 2 : 1 \). Aaroh’s new share: \[ 1 + \frac{2}{3} \cdot 6 = 1 + 4 = 5 \quad parts} \] Bhuvan’s new share: \[ 2 + \frac{1}{3} \cdot 6 = 2 + 2 = 4 \quad parts} \] Thus, the new profit-sharing ratio between Aaroh and Bhuvan becomes: \[ 5 : 4 \]