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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 one-third share in the profit. C brings in Rs 60,000 as his capital. Find the value of Firm Goodwill.

Solution

✅ Correct Option: 4

C brings Rs 60,000 for 1/3 share in the firm.

Using C's contribution to find the capitalised value of the entire firm:

If 1/3 share = Rs 60,000

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


Calculating the actual combined capital of all partners:

A's capital = Rs 45,000

B's capital = Rs 45,000

C's capital = Rs 60,000

Total combined capital = Rs 45,000 + Rs 45,000 + Rs 60,000 = Rs 1,50,000


Goodwill = Capitalised value - Combined capital

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

The logic here is that C values the entire firm at Rs 1,80,000 (since he pays Rs 60,000 for one-third share). However, the actual capital available is only Rs 1,50,000. This difference of Rs 30,000 represents the firm's goodwill - the premium value of the existing business beyond its capital.

Answer: Option 4 - Rs 30,000

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