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A and B are partners in a firm, sharing profits in the ratio of 3:2.C Is admitted for 1/5th share in profits of the firm which he acquired a in equal proportions from both A&B.calculate new profit sharing ratio and sacrificing ratio.
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A and B are partners in a firm, sharing profits in the ratio of 3:2.C ...
A 3/5-(1/5×1/2)= 5/10B 2/5-(1/5×1/2)= 3/10C 1/10+1/10 = 2/10Sacrificing Ratio 1:1NPSR 5:3:2
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A and B are partners in a firm, sharing profits in the ratio of 3:2.C ...
And B. The new profit sharing ratio between A, B and C becomes 5:3:2.

Let the total profit of the firm be x.

A's share in the profit = (3/5)x
B's share in the profit = (2/5)x

C is admitted for 1/5th share, which is (1/5)x.

C has acquired this share in equal proportions from A and B, which means he has acquired (1/10)x from each of them.

Now, the new profit sharing ratio between A, B and C becomes 5:3:2.

Let A's new share be y.

Therefore, B's new share will be (3/5)y and C's new share will be (2/5)y.

We know that C has acquired (1/10)x from A and (1/10)x from B. Therefore, his new share will be (1/5)y.

So, we can write the equation:

(3/5)x + (1/10)x = y + (1/5)y + (3/5)y
(1/2)x = (13/10)y
y = (5/13)x

Therefore, A's new share will be (5/13)x, B's new share will be (3/13)x and C's new share will be (2/13)x.

Hence, the new profit sharing ratio between A, B and C is 5:3:2.
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A and B are partners in a firm, sharing profits in the ratio of 3:2.C Is admitted for 1/5th share in profits of the firm which he acquired a in equal proportions from both A&B.calculate new profit sharing ratio and sacrificing ratio.
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