Question

A and B are partners in firm sharing profits in the ratio of 3 : 2. They admit C as a new partner for `1/4` share. New Ratio of A and B will be 2 : 1. Sacrificing ratio will be:

पर्याय

• 1 : 1

• 2 : 3

• 3 : 2

• 2 : 1

Answer 1

2 : 3

Explanation:

Calculation of sacrificing ratio of partners:

Old Ratio = 3 : 2

New Ratio of A and B = 2 : 1

New Ratio of A, B and C will be = `1 - 1/4 = 3/4`

A’s new share = `2/3 xx 3/4 = 6/12`

B’s new share = `1/3 xx 3/4 = 3/12`

C’s Share `1/4` or `3/12`

New Ratio 6 : 3 : 3 or 2 : 1 : 1

Sacrificing ratio = Old ratio − New Ratio

Sacrificing ratio of A = `3/5 - 2/4 = 2/20`

Sacrificing ration of B = `2/5 - 1/4 = 3/20`

Sacrificing Ratio will be 2 : 3