What sum will become Rs. 9826 in 18 months if the rate of interest is 212% per annum and the interest is compounded half-yearly?

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What sum will become Rs. 9826 in 18 months if the rate of interest is $2 \frac{1}{2}$ % per annum and the interest is compounded half-yearly?

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Rs. 9466.54

Rs. 9646.54

Rs. 9566.54

Rs. 9456.54

answer is A.

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A = P {(1 + \frac{R}{200})}^{2 n} = P {(1 + \frac{2.5}{200})}^{2 \times \frac{3}{2}} = P {(\frac{81}{80})}^{3}

\Rightarrow P = \frac{9826}{{(\frac{81}{80})}^{3}} = 9466.54

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