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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 per cent per annum is 

(a) Rs 400 

(b) Rs 600 

(c) Rs 500 

(d) Rs 800

1 Answer

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Best answer

(c) Rs 500

Let the sum be Rs x. Then

x\(\Big[\big(1+\frac{10}{100}\big)^2-1\Big]\) = 525

\(\Rightarrow\) x\(\Big[\big(\frac{11}{10}\big)^2-1\Big]\) = 525

\(\Rightarrow\) x\(\Big[\frac{121-100}{100}\Big]\) = 525

\(\Rightarrow\) x = \(\frac{525\times100}{21}\) = Rs 2500

For S.I.

P = Rs 2500, R = 5% p.a. and T = 4 years

Then, S.I = Rs \(\big(\frac{2500\times5\times4}{100}\big)\) = Rs 500

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