Question

Swati and Aman were partners in a firm. Their fixed capitals were ₹ 9,00,000 and ₹ 3,00,000, respectively. They shared profits in the ratio of their capital. Divya was admitted as a new partner for a `1/3`rd share in the profits of the firm. Divya brought her share of goodwill premium in cash, out of which ₹ 45,000 were credited to the current account of Swati. The amount of goodwill premium brought in by Divya was ______.

Options

• ₹ 1,80,000

• ₹ 1,35,000

• ₹ 60,000

• ₹ 45,000

Answer 1

Swati and Aman were partners in a firm. Their fixed capitals were ₹ 9,00,000 and ₹ 3,00,000, respectively. They shared profits in the ratio of their capital. Divya was admitted as a new partner for a `1/3`rd share in the profits of the firm. Divya brought her share of goodwill premium in cash, out of which ₹ 45,000 were credited to the current account of Swati. The amount of goodwill premium brought in by Divya was ₹ 60,000.

Explanation:

Swati and Aman shared profits in the ratio of their fixed capitals: ₹ 9,00,000 and ₹ 3,00,000.

₹ 9,00,000 : ₹ 3,00,000 = 3 : 1

The premium for goodwill brought by the incoming partner is distributed among the sacrificing partners (Swati and Aman) in their sacrificing ratio (3 : 1). The problem states that ₹ 45,000 was credited to Swati’s Current Account.

Swati’s Share of Goodwill = `"Total Goodwill" xx 3/4`

`45,000 = "Total Goodwill" xx 3/4`

Total Goodwill = `45,000 xx 4/3`

Total Goodwill = 15,000 × 4

Total Goodwill = 60,000

The total amount of goodwill premium brought in by Divya was ₹ 60,000.