Question : A profit of Rs. 960 is divided between A and B in the ratio of $\frac{1}{3}: \frac{1}{5}$. The difference in their profits is:
Option 1: Rs. 120
Option 2: Rs. 160
Option 3: Rs. 180
Option 4: Rs. 240
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Correct Answer: Rs. 240
Solution :
Given: A profit of Rs. 960 is divided between A and B in the ratio of $\frac{1}{3}$: $\frac{1}{5}$.
So, A : B = $\frac{1}{3}$ : $\frac{1}{5}$ = 5 : 3
So, the profit share of A $= \frac{5}{8} × 960 =$ Rs. $600$
and profit share of B $= \frac{3}{8} × 960 =$ Rs. $360$
Difference between the profits of A and B = 600 – 360 = Rs. 240
Hence, the correct answer is Rs. 240.
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