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Hem and Nem are partners in a firm sharing profits in the ratio of 3:2. Their capitals were Rs. 80,000 and Rs. 50,000 respectively. They admitted Sam on Jan. 1, 2025 as a new partner for 1/5 share in the future profits. Sam brought Rs. 60,000 as his capital. Sam share of goodwill will be:

Solution

✅ Correct Option: 4

Sam is admitted for 1/5 share and brings Rs. 60,000 as capital.

Using Sam's capital contribution to find the total capitalized value of the firm:

If Sam's 1/5 share = Rs. 60,000

Then Total Capital of the firm = Rs. 60,000 × 5 = Rs. 3,00,000


Actual capital in the firm after Sam's admission:

Old partners' capital (Hem + Nem) = Rs. 80,000 + Rs. 50,000 = Rs. 1,30,000

Sam's capital brought in = Rs. 60,000

Total actual capital = Rs. 1,30,000 + Rs. 60,000 = Rs. 1,90,000


Hidden Goodwill of the firm:

Goodwill = Capitalized value - Actual capital

Goodwill = Rs. 3,00,000 - Rs. 1,90,000 = Rs. 1,10,000


Sam's share of goodwill:

Sam's share = 15\frac{1}{5} × Rs. 1,10,000 = Rs. 22,000

This represents the amount Sam should contribute towards goodwill for acquiring 1/5 share in the accumulated goodwill of the firm, which will be credited to the old partners in their profit-sharing ratio.

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