A and B are partners sharing profits in the ratio of 2:1. C is admitted into the firm for 1/4 share of profits. C brings in Rs. 20,000 in respect of his capital. The capitals of old partners A and B, after all adjustments relating to goodwill, revaluation of assets and liabilities, etc., are Rs. 45,000 and Rs. 15,000 respectively, It is agreed that partners' capitals should be according to the new profit sharing ratio. A's Capital in the new firm will be:
A and B are partners sharing profits in the ratio of 2:1. C is admitted into the firm for 1/4 share of profits. C brings in Rs. 20,000 in respect of his capital. The capitals of old partners A and B, after all adjustments relating to goodwill, revaluation of assets and liabilities, etc., are Rs. 45,000 and Rs. 15,000 respectively, It is agreed that partners' capitals should be according to the new profit sharing ratio. A's Capital in the new firm will be:
Solution
Finding the new profit sharing ratio:
Old ratio of A and B = 2:1
C is admitted for 1/4 share
Remaining share for A and B = 1 - 1/4 = 3/4
This remaining share is divided between A and B in their old ratio 2:1
A's new share =
B's new share =
C's share =
New profit sharing ratio = A:B:C = = 2:1:1
Calculating capitals according to new ratio:
After all adjustments:
- A's capital = Rs. 45,000
- B's capital = Rs. 15,000
- C's capital = Rs. 20,000
Total capital of the firm = 45,000 + 15,000 + 20,000 = Rs. 80,000
Since capitals should be in the new profit sharing ratio 2:1:1 (total = 4 parts)
A's new capital = = Rs. 40,000
B's new capital = = Rs. 20,000
C's capital = = Rs. 20,000
A currently has Rs. 45,000 but needs Rs. 40,000, so Rs. 5,000 will be withdrawn by A to bring the capital in line with the profit sharing ratio.
Answer: Rs. 40,000
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