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Question

X and Y were partners sharing profits in the ratio of 3:2. They admitted P and Q as new partner. X X surrendered 1/3rd of his share in favour of P and Y surrendered 1/4th of his share in favour Q. Calculate new profit-sharing ratio X,Y,P and Q.

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Solution

X's old share= 3/5
Y's old share= 2/5

P is admitted for 3/5 * 1/3= 3/15
Q is admitted for 2/5 * 1/4= 2/20

X's new share= 3/5- 3/15
= 6/15
Y's new share= 2/5- 2/20
= 6/20
P's share= 3/15
Q's share= 2/20

New Profit sharing ratio= 4:3:2:1

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