Question

Kishore and Bimal are partners in a firm sharing profits and losses in the ratio of 4 : 3. Nand is admitted as a new partner in the firm for `1/4`th share in the profits. Kishore and Bimal decide to share profits and losses equally in the future. The sacrificing ratio of Kishore and Bimal will be ______.

Options

• 1 : 1

• 4 : 3

• 11 : 3

• 3 : 11

Answer 1

Kishore and Bimal are partners in a firm sharing profits and losses in the ratio of 4 : 3. Nand is admitted as a new partner in the firm for `1/4`th share in the profits. Kishore and Bimal decide to share profits and losses equally in the future. The sacrificing ratio of Kishore and Bimal will be 11 : 3.

Explanation:

Remaining Share = `1 - 1/4`

= `3/4`

Kishore’s New Share = `3/4 xx 1/2`

= `3/8`

Bimal’s New Share = `3/4 xx 1/2`

= `3/8`

Calculate the Sacrificing Share for Each Partner:

Kishore’s Sacrifice = `4/7 - 3/8`

= `(4 xx 8)/(7 xx 8) - (3 xx 7)/(8 xx 7)`

= `32/56 - 21/56`

= `11/56`

Bimal’s Sacrifice = `3/7 - 3/8`

= `(3 xx 8)/(7 xx 8) - (3 xx 7)/(8 xx 7)`

= `24/56 - 21/56`

= `3/56`

The sacrificing shares of Kishore and Bimal = `11/56 : 3/56` or 11 : 3