Interest Q.4

0. The simple interest on a certain sum of money for 2(1/2) years at 12% per annum is Rs 40 less than the simple interest on the same sum for 3(1/2) years at 10% per annum. Find the sum.

Answer
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Option : D
Explanation : Let the sum be Rs a.
Then we can write: [{x × 10 × 7}/{100 × 2}] – [{x × 12 × 5}/{100 × 2}] = 40. This can be written as:
7x/20 – 3x/10 = 40.
Therefore, we have x = Rs 800.

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