Question 87

The compound interest on a certain sum for 2 years at 10% per annum is Rs.525/. The simple interest on the same sum for double the time at half the rate percent per annum is...........

Solution

Let the sum be Rs. $$x$$

=> C.I. = $$x[(1 + \frac{10}{100})^2 - 1] = 525$$

= $$x(\frac{121}{100} - 1) = 525$$

= $$x = \frac{525 * 100}{21} = 2500$$

Now, simple interest at 5% for 4 years

= $$\frac{2500 \times 5 \times 4}{100}$$

= Rs. 500

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The compound interest on a certain sum for 2 years at 10% per annum is Rs.525/­. The simple interest on the same sum for double the time at half the rate percent per annum is...........