A and B are partners sharing profits/losses in the ratio of 3 : 2. C is admitted as a partner. The new profit sharing ratio among A, B and C is 4 : 3 : 2. Find out sacrificing ratio-

The correct answer is A. 7 : 4.

The sacrificing ratio is the ratio in which the old partners agree to sacrifice their share of the profits in order to admit a new partner. In this case, A and B agree to sacrifice 1/7 and 1/4 of their original shares, respectively, in order to admit C as a partner. Therefore, the sacrificing ratio is 7 : 4.

Here is a step-by-step solution:

1. Calculate the total number of shares in the new partnership: 4 + 3 + 2 = 9
2. Calculate the new share of each partner: A = 3/9 = 1/3, B = 2/9 = 2/9, C = 4/9 = 4/9
3. Calculate the old share of each partner: A = 3/5, B = 2/5
4. Calculate the amount of sacrifice for each partner: A = (1/3 – 3/5) = 2/15, B = (2/9 – 2/5) = 2/45
5. Calculate the sacrificing ratio: A : B = 2/15 : 2/45 = 7 : 4

I hope this helps!