Question

A, B, and C are partners in a firm. They admit D on 1st April, 2020, for 1/3 share in the profits of the firm. D acquired his share as 1/12 from A and the remaining from B and C in the ratio of 2 : 1. The sacrificing ratio of the old partners will be ______.

Options

• 1 : 1 : 2

• 2 : 1 : 1

• 1 : 2 : 1

• 2 : 2 : 1

Answer 1

A, B, and C are partners in a firm. They admit D on 1st April, 2020, for 1/3 share in the profits of the firm. D acquired his share as 1/12 from A and the remaining from B and C in the ratio of 2 : 1. The sacrificing ratio of the old partners will be 1 : 2 : 1.

Explanation:

D acquired = `1/12` from A

Hence, remaining share = `1/3 - 1/12`

= `(1 xx 4)/(3 xx 12) - 1/12`

= `4/12 - 1/12`

= `3/12`

This `3/12` will be acquired from B and C in 2 : 1.

Share acquired from B = `3/12 xx 2/3`

= `6/36`

= `2/12`

Share acquired from C = `3/12 xx 1/3`

= `3/36`

= `1/12`

Sacrificing Ratio of A, B, and C = `1/12 : 2/12 : 1/12` or 1 : 2 : 1