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 of \( 6 \) parts is distributed between Aaroh and Bhuvan in a \( 2 : 1 \) ratio. Aaroh's updated share: \[1 + \frac{2}{3} \times 6 = 1 + 4 = 5 \quad parts} \] Bhuvan's updated share: \[2 + \frac{1}{3} \times 6 = 2 + 2 = 4 \quad parts} \] Consequently, the new profit-sharing ratio between Aaroh and Bhuvan is: \[5 : 4\]