Question

Anshi and Ayushi are partners in the ratio of 3 : 2. They admit Aman for 3/10 share which he acquired 2/10 from Anshi and 1/10 from Ayushi. Calculate new profit sharing ratio.

Hint:

Always subtract the sacrifice from old shares, then express all partners' shares together as the new ratio.

Answer 1

The old profit sharing ratio of Anshi and Ayushi is 3 : 2. Aman is admitted for 3/10 share, which he receives by sacrificing 2/10 from Anshi and 1/10 from Ayushi.
To find the new ratio, we subtract the sacrificed portions from the original shares. Anshi's old share is 3/5 and Ayushi's old share is 2/5. When we deduct the sacrifice of 2/10 from Anshi's share, her new share becomes 3/5 – 2/10 = 6/10 – 2/10 = 4/10.
Similarly, Ayushi's new share becomes 2/5 – 1/10 = 4/10 – 1/10 = 3/10. Aman's admitted share is already given as 3/10. Therefore, the new ratio becomes Anshi 4/10 : Ayushi 3/10 : Aman 3/10.
For simplification, we may convert to a common denominator or leave as fractions. Thus, the final new profit sharing ratio is 4/10 : 3/10 : 3/10.