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:
Let the sum be Rs. P.
Then , \(\left[P\left(1+\frac{10}{100}\right)^{2}-P\right] = 525\)
P \(\left[\left(\frac{11}{10}\right)^{2}-1\right] = 525\)
P = \(\left(\frac{525\times100}{21}\right) = 2500\)
So , Sum = Rs. 2500.
So, S.I. = Rs. \(\left(\frac{2500\times5\times4}{100}\right) = 500.\)
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