If the simple interest on a certain sum of money for 15 months at 7 ½ % p.a e

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Question

If the simple interest on a certain sum of money for 15 months at 7 ½ % p.a exceeds the simple interest on the same sum for 8 months at 12 ½ % p.a by Rs.32.50. The sum is

Options:

A . Rs.312

B . Rs.312.50

C . Rs.3120

D . Rs.3120.50

Answer: Option C

Let the sum be Rs x.
Then
(x Ã— 15/2 Ã— 1/100 Ã— 15/12) “ (x Ã— 25/2 Ã— 1/100 Ã— 8/12) = 65/2
=> 3x/32 “ x/12 = 65/2
=> 9x “ 8x = 3120
=> X = 3120
Then, Sum = Rs 3120

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