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A and B are partners in a firm sharing profits in the ratio 2:1. C is admitted into the firm with 1/4th share in profits and he brings Rs. 30,000 as his capital. If the capitals of A and B are to be adjusted in their profit sharing ratio then the capital of A will be-

Solution

✅ Correct Option: 2

C is admitted with 1/4th share in profits. This means the remaining share for old partners A and B = 1 - 1/4 = 3/4

Since A and B were sharing profits in ratio 2:1, they will now share this remaining 3/4 in the same ratio.

A's new share = 3/4 × 2/(2+1) = 3/4 × 2/3 = 1/2

B's new share = 3/4 × 1/(2+1) = 3/4 × 1/3 = 1/4

C's share = 1/4

New profit sharing ratio = A:B:C = 1/2 : 1/4 : 1/4 = 2:1:1


C brings Rs. 30,000 as capital for 1/4 share in profits.

When capitals are to be adjusted in profit sharing ratio, C's capital should be proportionate to his profit share.

If C's capital of Rs. 30,000 represents 1/4 share, then:

Total capital of the firm = Rs. 30,000 × 4 = Rs. 1,20,000


Now, capitals should be in the new profit sharing ratio 2:1:1

A's capital = Total capital × A's share ratio = Rs. 1,20,000 × 2/4 = Rs. 60,000

B's capital = Rs. 1,20,000 × 1/4 = Rs. 30,000

C's capital = Rs. 30,000

Therefore, the capital of A will be Rs. 60,000.

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