Question

Misha, Sarita, and Isha were partners in a firm sharing profits and losses in the ratio of 3 : 2 : 1. With effect from 1st April 2024, they decided that they would share profits and losses equally. The gain or sacrifice by the partners due to a change in the profit-sharing ratio will be ______.

पर्याय

• Misha’s sacrifice 1/6, Isha’s gain 1/6

• Misha’s gain 1/6, Isha’s sacrifice 1/6

• Misha’s sacrifice 1/6, Sarita gain 1/3, Isha’s sacrifice 1/6

• Misha’s sacrifice 1/3, Isha’s gain 1/3

Answer 1

Misha, Sarita, and Isha were partners in a firm sharing profits and losses in the ratio of 3 : 2 : 1. With effect from 1st April 2024, they decided that they would share profits and losses equally. The gain or sacrifice by the partners due to a change in the profit-sharing ratio will be Misha’s sacrifice 1/6, Isha’s gain 1/6.

Explanation:

Old profit sharing ratio = 3 : 2 : 1

New profit sharing ratio = 1 : 1 : 1

Sacrificing/(gaining) ratio = old share – new share

Misha’s sacrifice/(gain) = `3/6 - 1/3`

= `3/6 - (1 xx 2)/(3 xx 2)`

= `3/6 - 2/6`

= `(3 - 2)/6`

= `1/6` (sacrifice)

Sarita’s sacrifice/(gain) = `2/6 - 1/3`

= `2/6 - (1 xx 2)/(3 xx 2)`

= `2/6 - 2/6`

= `(2 - 2)/6`

= Nil

Isha’s sacrifice/(gain) = `1/6 - 1/3`

= `1/6 - (1 xx 2)/(3 xx 2)`

= `1/6 - 2/6`

= `(1 - 2)/6`

= `(-1)/6` (gain)