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The compound interest on a certain sum of money for 2 years at $$10\%$$ per annum is Rs. 525. The simple interest on the same sum of money for double the time at half the rate of interest per annum is
For 2 years at $$10\%$$, compound interest is $$P\left[(1.1)^2 - 1\right] = 0.21P = 525$$, so $$P = 2500$$ rupees. Simple interest for 4 years at $$5\%$$ is $$\frac{2500 \times 5 \times 4}{100} = 500$$ rupees.
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