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Q.X, Y and Z are partners sharing Profits and Losses in the ratio of 5 : 3 : 2. Z retires from the firm. Z sacrifices 2/3 of his share of profit in favour of X and remaining in favour of Y. Calculate new ratio and gaining ratio.

Jharkhand JacJAC Jharkhand Intermediate Class 12 (Commerce) 2025Subjective· 3mImportance★★★★★
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New ratio 19 : 11; Gaining ratio 2 : 1.

Old ratio X : Y : Z = 5 : 3 : 2; Z's share = 2/10.

Z's share distributed:

To X = 2/3 × 2/10 = 4/30.

To Y = 1/3 × 2/10 = 2/30.

Gaining ratio = 4/30 : 2/30 = 2 : 1.

New shares:

X = 5/10 + 4/30 = 15/30 + 4/30 = 19/30.

Y = 3/10 + 2/30 = 9/30 + 2/30 = 11/30. …

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