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 a 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 ______.

विकल्प

• ₹ 37,500 and ₹ 22,500 respectively

• ₹ 30,000 and ₹ 30,000 respectively

• ₹ 36,000 and ₹ 24,000 respectively

• ₹ 45,000 and ₹ 15,000 respectively

Answer 1

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 a 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 ₹ 45,000 and ₹ 15,000 respectively.

Explanation:

 Calculate the Sacrificing Share for Each Partner:

Kalki’s Sacrifice = `5/8 - 3/6`

= `(5 xx 3)/(8 xx 3) - (3 xx 4)/(6 xx 4)`

= `15/24 - 12/24`

= `3/24`

Kumud’s Sacrifice = `3/8 - 2/6`

= `(3 xx 3)/(8 xx 3) - (2 xx 4)/(6 xx 4)`

= `9/24 - 8/24`

= `1/24`

The sacrificing ratio of Kalki and Kumud is 3 : 1

Kaushtubh’s Goodwill Share = `3,60,000 xx 1/6`

= 60,000

The ₹ 60,000 is distributed to Kalki and Kumud in their sacrificing ratio of 3 : 1

Amount credited to Kalki = `60,000 xx 3/4`

= 45,000

Amount credited to Kumud = `60,000 xx 1/4`

= 15,000

The goodwill share credited to Kalki and Kumud is ₹ 45,000 and ₹ 15,000 respectively.