Question

Kalki and Kumud were partners sharing profits and losses in the ratio of 5:3. On 1st April,2021 they admitted Kaushtubh as a new partner and new ratio was decided as 3:2:1. Goodwill of the firm was valued as ₹3,60,000. Kaushtubh couldn’t bring any amount for goodwill. Amount of goodwill share to be credited to Kalki and Kumud Account’s will be: - (A) ₹ 37,500 and ₹22,500 respectively (B) ₹ 30,000 and ₹30,000 respectively (C) ₹ 36,000 and ₹24,000 respectively (D) ₹ 45,000 and ₹15,000 respectively​

Answer 1

Given:

• Kalki and Kumud were partners in a firm, sharing profits and losses in the ratio 5:3.
• Kaushtubh was admitted into the firm on 1st April, 2021.
• The future profit-sharing ratio was decided to be 3:2:1.
• Goodwill of the firm was Rs 3,60,000.
• Kaushtubh was not able to bring any goodwill.

To find: The amount of goodwill to be credited to the old partners.

Answer:

• Kalki's old share = 5/8
• Kumud's old share = 3/8

• Kalki's new share = 3/6
• Kumud's new share = 2/6
• Kaushtubh's new share = 1/6

Calculation of the sacrificing ratio:

Sacrificing ratio = Old share - New share

For Kalki:

• Sacrificing ratio = 5/8 - 3/6 = (30 - 24)/48 = 6/48

For Kumud:

• Sacrificing ratio = 3/8 - 2/6 = (18 - 16)/48 = 2/48

When the new partner isn't able to bring any goodwill, the goodwill of the firm is distributed among the old partners in their sacrificing ratio.

Calculation of goodwill shares:

Goodwill share = Goodwill × Sacrificing ratio

For Kalki:

• Goodwill = Rs 3,60,000 × 6/48 = Rs 45,000

For Kumud:

• Goodwill = Rs 3,60,000 × 2/48 = Rs 15,000

Therefore, the answer is (D) Rs 45,000 and Rs 15,000 respectively.

Answer 2

Answer:

( D)

Explanation:

₹45,000 and ₹ 15,000