Question

A and B are partners in a firm sharing profits in the ratio of 2 : 1. C is admitted as a partner. A and B surrender `1/2` of their respective shares in favour of C. C is to bring his share of premium for goodwill in cash. The goodwill of the firm is estimated at ₹ 60,000. Credit will be given to ______.

पर्याय

• A ₹ 15,000; B ₹ 15,000

• A ₹ 40,000; B ₹ 20,000

• A ₹ 30 000; B ₹ 30,000

• A ₹ 20,000; B ₹ 10,000

Answer 1

A and B are partners in a firm sharing profits in the ratio of 2 : 1. C is admitted as a partner. A and B surrender `1/2` of their respective shares in favour of C. C is to bring his share of premium for goodwill in cash. The goodwill of the firm is estimated at ₹ 60,000. Credit will be given to A ₹ 20,000; B ₹ 10,000.

Explanation:

Calculate the Sacrificed Share of each partner:

A’s original share = `2/3` A surrender `1/2` of this share

A’s sacrifice = `1/2 xx 2/3`

= `2/6`

B’s original share = `1/3` A surrender `1/2` of this share

B’s sacrifice = `1/2 xx 1/3`

= `1/6`

Sacrificing Ratio of A and B = 2 : 1

C’s share of profits is the sum of the sacrifices:

C’s share = `2/6 + 1/6`

= `3/6`

= `1/2`

The total goodwill of the firm is ₹ 60,000. C’s share of goodwill:

C’s Goodwill Amount = `60,000 xx 1/2`

= 30,000

The ₹ 30,000 is distributed to A and B in their sacrificing ratio of 2 : 1.

A = `30,000 xx 2/3`

= 20,000

B = `30,000 xx 1/3`

= 10,000