$A, B$ and $C$ were partners in a firm sharing profits in the ratio of $8 : 4 : 3$ . $B$ retires and his share is taken up equally by $A$ and $C$ . Find the new profit-sharing ratio.

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Solution

Old Ratio (A, B and C) = 8 : 4 : 3
B retires from the firm.
B's share taken by A and C in ratio of 1 : 1
Share taken by A = 4/15 X 1/2 = 2/15
Share taken by C = 4/15 X 1/2 = 2/15
New Ratio = Old Ratio + Share acquired from B
A's new share = 8/15 + 2/15 = 10/15 = 2/3
C's new share = 3/15 + 2/15 = 5/15 = 1/3
New profit (A and C) = 2 : 1

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A,B and C were partners in a firm sharing profits in the ratio of 8:4:3. B retires and his share is taken up equally by A and C. Find the new profit-sharing ratio.

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