Question

A and B are partners in firm sharing profits in the ratio of 2 : 1. They admit C as a new partner for `1/5` share. New Ratio of A and B will be 1 : 2. Sacrificing ratio will be:

विकल्प

• Sacrificing ratio 1 : 1

• A’s Sacrifice `6/15` and B’s Gain `3/15`

• Sacrificing ratio 3 : 5

• Sacrificing ratio 2 : 1

Answer 1

A’s Sacrifice `6/15` and B’s Gain `3/15`

Calculation of sacrificing ratio of partners:

Old Ratio = 2 : 1

New Ratio of A and B = 1 : 2

New Ratio of A, B and C will be

Let total share be 1

Remaining share be = `1 - 1/5 = 4/5`

A’s new share = `1/3 xx 4/5 = 4/15`

B’s new share = `2/3 xx 4/5 = 8/15`

C’s share `1/5` or `3/15`

New Ratio of A, B and C will be 4 : 8 : 3

Sacrificing ratio = Old Ratio − New Ratio

Sacrificing ratio of A = `2/3 - 4/15 = 6/15`

Sacrificing ratio of B = `1/3 - 8/15 = 3/15` (Gain)