Question

A and B are partners sharing profits and losses as 2 : 1. C and D are admitted and the profit-sharing ratio becomes 3 : 2 : 4 : 1. Goodwill is valued at ₹ 90,000. C and D bring required goodwill in Cash. Credit will be given to ______.

पर्याय

• A ₹ 30,000; B ₹ 15,000

• A ₹ 66,000; B ₹ 24,000

• A ₹ 33,000; B ₹ 12,000

• A ₹ 27,000; B ₹ 18,000

Answer 1

A and B are partners sharing profits and losses as 2 : 1. C and D are admitted and the profit-sharing ratio becomes 3 : 2 : 4 : 1. Goodwill is valued at ₹ 90,000. C and D bring required goodwill in Cash. Credit will be given to A ₹ 33,000; B ₹ 12,000.

Explanation:

Calculate the Sacrificing/Gaining Share for Each Partner:

A’s Share = `2/3 - 3/10`

= `(2 xx 10)/(3 xx 10) - (3 xx 3)/(10 xx 3)`

= `20/30 - 9/30`

= `11/30` (Sacrifice)

B’s Share = `1/3 - 2/10`

= `(1 xx 10)/(3 xx 10) - (2 xx 3)/(10 xx 3)`

= `10/30 - 6/30`

= `4/30` (Sacrifice)

C and D is a new partner, so they gain:

C’s Share = `4/10`

= `(4 xx 3)/(10 xx 3)`

= `12/30`

D’s Share = `1/10`

= `(1 xx 3)/(10 xx 3)`

= `3/30`

The total gain of C and D `(12/30 + 3/30 = 15/30)` equals the total sacrifice of A and B `(11/30 + 4/30 = 15/30)`.

A and B are the only partners who sacrificed, in the ratio of 11 : 4

The total goodwill of the firm is valued at ₹ 90,000. C and D bring their proportionate shares of this value:

C’s Goodwill Amount = `90,000 xx 4/10`

= 36,000

D’s Goodwill Amount = `90,000 xx 1/10`

= 9,000

Total Goodwill brought = 36,000 + 9,000

= 45,000

The total goodwill amount of ₹ 45,000 is distributed to A and B in their sacrificing ratio of 11 : 4.

Amount credited to A = `45,000 xx 11/15`

= 33,000

Amount credited to B = `45,000 xx 4/15`

= 12,000