03 A and B are sharing profits and losses in the ratio 3 : 2. They admitted C as a new partner to give him 2/10th share in the profit. The new profit sharing ratio will be: *
2 points
12 : 8 : 5
3 : 2 :2
3 : 2 :5
2 : 1 :2
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Given: Profit/loss sharing ratio between A and B = 3 : 2
Share of new partner C = 2/10
To find: New profit sharing ratio
Let: Profit of firm = 1
Solution: According to the given question,
Share of C in the firm = 2/10
Remaining profit for A and B = 1 - 2/10 = 8/10
(A and B will share the remaining profit in their old ratio)
New share of A = 8/10 x 3/5 = 24/50
New share of B = 8/10 x 2/5 = 16/50
Share of C = 2/10 x 5/5 = 10/50 (converted 2/20 to an equivalent fraction with denominator 10 as in the shares of A and B)
Hence, new profit sharing ratio among A, B and C will be = 24 : 16 : 10 or 12 : 8 : 5
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