Question

Hema and Tara were partners in a firm sharing profits and losses in the ratio of 2 : 3. They admitted Ojas as a new partner. Hema surrendered \( \frac{1}{3} \) of her share and Tara surrendered \( \frac{1}{2} \) of her share in favour of Ojas. The new profit sharing ratio of Hema, Tara and Ojas will be:

• A. 8 : 9 : 13
• B. 3 : 2 : 5
• C. 2 : 3 : 5
• D. 2 : 3 : 25

Hint:

When a new partner is admitted, the share of the existing partners is surrendered based on the agreed ratio.

Answer 1

The Correct Option is A

- Hema’s new share = \( 2 - \frac{1}{3} \times 2 = 8/3 \), - Tara’s new share = \( 3 - \frac{1}{2} \times 3 = 3/2 \), - Ojas’s share = \( \frac{1}{3} \times 2 + \frac{1}{2} \times 3 = 13/6 \). The new ratio is 8 : 9 : 13.