A and B are partners sharing profits equally with capitals of ₹45,000 each. They admitted C as a new partner for 1/3rd share in the profit. C bring ₹ 60,000 as his capital. Find the goodwill of the firm.

₹30,000

The correct answer is option 4- ₹30,000.

C's share = 1/3
Let total share of firm = 1
Remaining share after C = 1-1/3
                                    = 2/3

THIS 2/3rd IS DISTRIBUTED BETWEEN A & B equally.

A's new share = 2/3 x 1/2
                     = 2/6 or 1/3

B's new share = 2/3 x 1/2
                     = 2/6 or 1/3

New ratio = 1/3 :1/3 :1/3
               = 1:1:1

C's capital for 1/3rd share = 60,000

Total capital of the firm = 60,000 x 3/1
                                  = 1,80,000

A and B capitals = ₹45,000 each

Combined capital of all partners = 45,000 + 45,000 + 60,000
                                               = 1,50,000

Goodwill of firm = 1,80,000 - 1,50,000
                        = 30,000