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A and B are partners sharing profits equally with capitals of Rs 45,000 each. They admitted C as a new partner for 1/3rd share in the profit. C bring Rs 60,000 as his capital. Find the goodwill of the firm.

Solution

✅ Correct Option: 4

C is admitted for 13\frac{1}{3} share and brings Rs 60,000 as capital.

If C's capital of Rs 60,000 represents 13\frac{1}{3} share, then:

Total value of the firm = Rs 60,000 × 3 = Rs 1,80,000


Now, let's find the actual combined capital:

A's capital = Rs 45,000

B's capital = Rs 45,000

C's capital = Rs 60,000

Total actual capital = Rs 1,50,000


The goodwill is the difference between the firm's total value (based on C's contribution) and the actual capital:

Goodwill = Rs 1,80,000 - Rs 1,50,000 = Rs 30,000

This Rs 30,000 represents the hidden value (goodwill) of the existing firm that C is paying for along with his capital contribution. When C pays Rs 60,000 for 13\frac{1}{3} share, he's essentially valuing the firm at Rs 1,80,000, but the tangible capital is only Rs 1,50,000. The difference of Rs 30,000 is the firm's goodwill.

2023: 11 June Shift 3

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