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A and N are partners, sharing profits in the ratio 2:1. A's son Ashu was admitted as a partner for 1/4th share, half of which was gifted by A to her son. The remaining was contributed by N. The goodwill of the Firm is valued at 40,000. How much amount will be credited to the old partner's capital account for goodwill?

Solution

✅ Correct Option: 2

Given Information:

  • A and N share profits in ratio 2:1
  • Ashu (A's son) admitted for 1/4th share
  • Half of Ashu's share (1/8) is gifted by A
  • Remaining half (1/8) is contributed by N
  • Goodwill of firm = Rs. 40,000

Understanding the Sacrifice:

Ashu's share = 14\frac{1}{4}

Share gifted by A = 12×14=18\frac{1}{2} \times \frac{1}{4} = \frac{1}{8}

Share contributed by N = 12×14=18\frac{1}{2} \times \frac{1}{4} = \frac{1}{8}

Sacrificing Ratio:

  • A sacrifices = 18\frac{1}{8}
  • N sacrifices = 18\frac{1}{8}

Goodwill Compensation:

When partners sacrifice their share for a new partner, they receive compensation through goodwill based on their sacrificing ratio.

Formula: Goodwill credited = Total Goodwill × Share sacrificed

For A: 40,000×18=5,00040,000 \times \frac{1}{8} = 5,000

For N: 40,000×18=5,00040,000 \times \frac{1}{8} = 5,000


Both A and N will be credited Rs. 5,000 each to their capital accounts for goodwill.

Note: Even though A gifted her share to her son, she still receives goodwill compensation because she sacrificed part of her profit-sharing ratio in the firm. The gift is a personal arrangement, but the firm must compensate for the economic sacrifice of profit share.

Correct Answer: Option 2 - Rs. 5,000 each

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