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.