Question : Three brothers divided Rs. 1620 among themselves so that the share of the second equals $\frac{5}{13}$th of the other two combined shares. What is the share of the second one?
Option 1: Rs. 1170
Option 2: Rs. 450
Option 3: Rs. 540
Option 4: Rs. 500
Correct Answer: Rs. 450
Solution :
Let the shares of the three brothers be A, B, and C.
The ratio of B's share to the combined shares of A and C = 5 : 13
So, B's share $=\frac{5}{5+13}\times 1620 = 450$
Hence, the correct answer is Rs. 450.
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