Question : 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. the sacrificing ratio is ____________.
Option 1: 5:3:2
Option 2: 2:1:1
Option 3: 2:1
Option 4: None of the above
Correct Answer: 2:1
Solution : Answer = 2:1 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 $2: 1$. Hence, the correct option is 3.
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