X and Y are two partners …

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X and Y are two partners in a firm sharing profits and losses in the ratio of 9/15 and 6/15 . a new partner Z is admitted . X surrenders 3/15th share of his profit in favor of Z and Y 6/15th of his share in favour of Z . calculate new profit sharing ratio .
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Ananya Garg 6 years, 7 months ago
Old ratio of X & Y = 9 : 6
Sacrifice by X = 9/15 * 3/15 = 27/225
Sacrifice by Y = 6/15 * 6/15 = 36/225
New share of X = 9/15 - 27/225 = 108/225
New share of Y = 6/15 - 36/225 = 54/225
Share of Z = 27/225 + 36/225 = 63/225
New P.S.R. = 108: 54 : 63
= 12 : 6 : 7
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