Multiple choice

A, B and C are partners sharing profits in the ratio of 4 : 3: 2. D is admitted for the 2/9th share of profit and brings Rs.18,000 as his capital and the necessary amount for his share of goodwill. The goodwill of the firm is valued at Rs. 2,43,000. The new profit sharing ratio of A, B, C and wit be 3: 2: 2: 2. The sacrificing partners withdrew half of their share of goodwill. They withdrew _________.

  1. Rs. 13,500, Rs. 13,500

  2. Rs. 6,750, Rs. 6,750

  3. Rs. 6,000, Rs. 4,500, Rs. 3,000

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Goodwill of the firm is 2,43,000. D's share is (2/9) * 2,43,000 = 54,000. The sacrificing ratio is determined by the change in profit sharing. A sacrifices 4/9 - 3/9 = 1/9. B sacrifices 3/9 - 2/9 = 1/9. C sacrifices 2/9 - 2/9 = 0. D's goodwill is shared by A and B equally. They each get 27,000. Withdrawing half means they each withdraw 13,500.

AI explanation

D's share of goodwill is 2/9 of Rs. 2,43,000, totaling Rs. 54,000. The sacrificing ratio of A and B is calculated as (4/9 minus 3/9) and (3/9 minus 2/9), yielding 1/9 for A and 1/9 for B. A and B each receive Rs. 27,000, but since they withdraw half of their share, the amount is Rs. 13,500 for each.

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