A and B are partners in a firm sharing profits in the ratio 2:1. C is admitted into the firm with 1/4th share in profits and he brings ₹30,000 as his capital. If the capitals of A and B are to be adjusted in their profit sharing ratio then the capital of A will be-

₹60,000

The correct answer is option 2- ₹60,000.

Old ratio = 2:1 (A & B)

C admits = 1/4th share

Let total share = 1
C's share = 1/4
Remaining share = 1- 1/4
                         = 3/4

This 3/4 is distributed between A & B in 2:1.

A's new share = 3/4 x 2/3
                     = 6/12

B's new share = 3/4 x 1/3
                     = 3/12

NEW RATIO = 6/12 : 3/12 : 1/4
                 = 6/12 : 3/12 : 3/12
                 = 6:3:3 or 2:1:1

C's capital = 30,000
On basis of C's capital, total capital of the firm = 30,000 x 4/1
                                                                   = 1,20,000

A's share in capital = 1,20,000 x 2/4
                            = 60,000