19. de TAns: New Ro 10. Rao and Swami are partners in a firm sharing profit in the ratio of 3:2. They admit Ravi as a new partner for 1/8 shares in the profit. The new profit sharing ratio between Rao and Swami is 4:3. Calculate new profit sharing ratio and sacrificing ratio. (NCERT) Sa ra [ No profit D1 2 Sacrificing Ratio 4.11
Answers
Explanation:
solution :
old ratio of Rao and Swami = 3 : 2
share of Rao = 3/5
share of Swami = 2/5
They admit Ravi as a new partner for 1/8 shares in the profit.
Ravi's share = 1/8
suppose,
Total profit = 1
1 - 1/8 = 7/8
Remaining share = 7/8
The new profit sharing ratio between Rao and Swami is 4:3
New profit sharing ratio =
New share of Rao = 7/8 × 4/7
= 28/56
New share of Swami = 7/8 × 3/7
= 21/56
Share of Ravi = 1/8
= 1/8 ×7/7
= 7/56
New profit sharing ratio =
Rao : Swami : Ravi = 28/56 : 21/56 : 7/56
= 28 : 21 : 7
= 4 : 3 : 1
New profit sharing ratio of Rao, Swami and Ravi = 4 : 3 : 1
Sacrificing Ratio :
Old ratio - New ratio
- Rao's sacrifice =
= 3/5 - 4/8
= 24 - 20/40
= 4/40
- Swami's sacrifice =
= 2/5 - 3/8
= 16 - 15/40
= 1/40
Sacrificing Ratio =
Rao : Swami = 4/40 : 1/40
= 4 : 1
Hence,
New profit sharing ratio of Rao, Swami and Ravi = 4 : 3 : 1 and
Sacrificing Ratio of Rao and Swami = 4 : 1