Hemant and Naman 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 Samrat on Jan. 1, 2025 as a new partner for 1/5 share in the future profits. Samrat brought Rs. 60,000 as his capital. Calculate the value of goodwill of the firm?

When a new partner is admitted and brings capital, the goodwill can be calculated by comparing the capitalized value of the firm with the actual combined capital.

Finding the capitalized value of the firm:

Samrat brings Rs. 60,000 for 1/5 share in the firm.

Using the formula: Total Capital of Firm = $\frac{\text{New Partner's Capital}}{\text{New Partner's Share}}$

Total Capital of Firm = $\frac{60,000}{1/5}$ = 60,000 × 5 = Rs. 3,00,000

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Finding actual combined capital:

Hemant's Capital = Rs. 80,000

Naman's Capital = Rs. 50,000

Samrat's Capital = Rs. 60,000

Total Actual Capital = 80,000 + 50,000 + 60,000 = Rs. 1,90,000

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Calculating Goodwill:

Goodwill = Capitalized Value of Firm - Total Actual Capital

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

The difference between what the firm should be worth based on Samrat's capital contribution (Rs. 3,00,000) and what the partners have actually brought in (Rs. 1,90,000) represents the hidden value or goodwill of the firm that has been built by the old partners.

Correct Option: 2 (Rs. 1,10,000)