Question

Veena and Soma are partners in a firm. They admit Sara on 1st April, 2020, for a `1/4` share in the profits of the firm. Sara acquired her share as `1/12` from Veena and the remaining from Soma. The sacrificing ratio of the old partners will be ______.

Options

• 11 : 12

• 1 : 1

• 1 : 2

• 1 : 11

Answer 1

Veena and Soma are partners in a firm. They admit Sara on 1st April, 2020, for a `1/4` share in the profits of the firm. Sara acquired her share as `1/12` from Veena and the remaining from Soma. The sacrificing ratio of the old partners will be 1 : 2.

Explanation:

The problem states that Sara acquired `1/12` share in the profits from Veena. Therefore, Veena’s sacrificed share is `1/12`

Calculate the share sacrificed by Soma:

Sara’s total share is `1/4`. The remaining portion of Sara's share was acquired from Soma.

Soma’s sacrificed share = Sara’s total share − Share acquired from Veena

= `1/4 - 1/12`

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

= `3/12 - 1/12`

= `2/12`

The sacrificing shares of Veena and Soma = `1/12 : 2/12` or 1 : 2.