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A sum amounts to Rs. 882 in 2 years at 5% compound interest. The sum is

Rs. 800
Rs. 822
Rs. 840
Rs. 816
Explanation:

Let the sum be P

Amount After 2 years = P$\left(1 + \dfrac{R}{100}\right)^T$ = P$\left(1 + \dfrac{5}{100}\right)^2$=P$ \left(\dfrac{105}{100}\right)^2$=P$\left(\dfrac{21}{20}\right)^2$

Given that amount After 2 years = 882

=> P$\left(\dfrac{21}{20}\right)^2$ = 882

=> P = $\dfrac{882 \times 20 \times 20}{21 \times 21} = 2\times 20 \times 20 = Rs.800$

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