A and B share profits in 3 : 2. They admit C as a new partner and new profit sharing ratio between them becomes 2 : 1 : 2. Determine the sacrificing ratio between A and B.

1 : 1

The correct answer is option 1- 1:1.

Old ratio = 3:2 (A & B)
New ratio = 2:1:2 (A, B & C)

Sacrifice = old share - new share
Sacrifice of A = 3/5 - 2/5
                    = 1/5

Sacrifice of B = 2/5 - 1/5
                    = 1/5

Sacrificing ratio = 1/5 :1/5
                       = 1:1