Vijay and Sanjay are partners in a firm sharing profits and losses in the ratio of 3:2. They admitted Ajay into partnership with 1/4th share in profits. Ajay brings in ₹30,000 for capital and the requisite amount of premium in cash for goodwill. The goodwill of the firm is valued at ₹20,000. The new profit sharing ratio is 2:1:1. The sacrificing ratio of Vijay and Sanjay is:

2:3

The correct answer is option 2- 2:3.

Vijay and Sanjay old ratio = 3:2
Ajay admits
The new profit sharing ratio is 2:1:1.

Sacrificed share = Old share - New share

Sacrifice of Vijay = 3/5 - 2/4
                         = (12-10)/20
                         = 2/20

Sacrifice of Sanjay = 2/5 - 1/4
                           = (8-5)/20
                           = 3/20

Sacrificing ratio = 2/20 : 3/20
                       = 2:3