A & B are partner sharing profits and losses in the ratio of $3 : 2$ . C is coming as a new partner for $1 / 3$ rd share. Calculate new profit sharing ratio among A, B & C.

6 : 4 : 5

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5 : 4 : 6

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3 : 2 : 3

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2 : 3 : 3

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Solution

The correct option is A $6 : 4 : 5$
Old ratio (A and B) = 3 : 2
C is admitted for 1/3rd share of profit
Let the combined share of all partners after C's admission = 1
Combined share of A and B after C's admission = 1 - (1/3) = 2/3
New ratio = Old ratio * Combined share of A and B
A's new ratio = (3/5) * (2/3) = 6/15
B's new ratio = (2/5) * (2/3) = 4/15
C's share = 1/3 or 5/15
Therefore, new ratio of A : B : C is 6 : 4 : 5

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