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X, Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2 . They admit A into partnership and give him 1/5th share of profits. Find the new profit-sharing ratio.

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Old Ratio between X,Y and  Z is 5 : 3: 2

A is to provided 1/5th share of profits

assuming combined share of profit for all partners after a's admission be = 1

Accordingly, combined share of X, Y, and Z after A's admission = 1 - A's share

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