A and B are in partnership sharing profits in the ratio of 3 2 They take C as a new partner Goodwill...........

A and B are in partnership sharing profits in the ratio of 3 : 2. They take C as a new partner. Goodwill of the firm is valued at Rs3,00,000 and C brings Rs30,000 as his share of goodwill in cash which is entirely credited to the Capital Account of A. New profit sharing ratio will be :

3 : 2 : 1

6 : 3 : 1

5 : 4 : 1

4 : 5 : 1

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Explanation:

Goodwill of the firm = Rs. 3,00,000
Goodwill brought in cash by C = Rs. 30,000
Cs share in profit of the firm = 30,000/3,00,000 = 1/10
Only A's account is credited by goodwill brought in by C, A's Sacrificing Share = Profit Share of C = 1/10
A's new share = Old profit share - Sacrificing share = 3/5 -1/10 = 5/10
B's new share remains same = 2/5 or 4/10 hence new ratio is 5:4:1