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Question
A, B & C are sharing profits in 4:3:2 ratio. B retires. If A & C shares profits of B in 5:3, then find the new profit sharing ratio.
A, B & C are sharing profits in 4:3:2 ratio. B retires. If A & C shares profits of B in 5:3, then find the new profit sharing ratio.
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Solution
The correct option is A 47:25
Old ratio (A, B and C) = 4 : 3 : 2B's share = 3/9Share of B taken by A = (3/9) * (5/8) = 15/72Share of B taken by C = (3/9) * (3/8) = 9/72New ratio = Old ratio + Share taken from B A's new share = (4/9) + (15/72) = 47/72C's new share = (2/9) + (9/72) = 25/72Therefore, new profit share of A and C = 47 : 25
Old ratio (A, B and C) = 4 : 3 : 2
B's share = 3/9
Share of B taken by A = (3/9) * (5/8) = 15/72
Share of B taken by C = (3/9) * (3/8) = 9/72
New ratio = Old ratio + Share taken from B
A's new share = (4/9) + (15/72) = 47/72
C's new share = (2/9) + (9/72) = 25/72
Therefore, new profit share of A and C = 47 : 25
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