A,B and C are partners sharing profits in the ratio of 5:3:2. They admit D into partnership. The new profit sharing ratio of partners is 3:2:2:3. Calculate the sacrificing ratio.

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Solution

Sacrifice Ratio =Old Ratio - New Ratio

Therefore, Sacrifice made by $A = \frac{5}{10} - \frac{3}{10} = \frac{2}{10}$

Sacrifice made by $B = \frac{3}{10} - \frac{2}{10} = \frac{1}{10}$

Sacrifice made by $C = \frac{2}{10} - \frac{2}{10} = 0$

As C has not sacrificed any share of profit,

therefore sacrifice ratio of A and $B = \frac{2}{10} : \frac{1}{10}$ or 2:1.

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A,B and C are partners sharing profits in the ratio of 5:3:2. They admit D into partnership. The new profit sharing ratio of partners is 3:2:2:3. Calculate the sacrificing ratio.

Sacrifice Ratio =Old Ratio - New Ratio Therefore, Sacrifice made by A=510−310=210 Sacrifice made by B=310−210=110 Sacrifice made by C=210−210=0 As C has not sacrificed any share of profit, therefore sacrifice ratio of A and B=210:110 or 2:1.