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Anil Borrowed a Sum of Rs 9600 to Install a Handpump in His Dairy. If the Rate of Interest is 5 1 2 per Annum Compounded Annually, Determine the Compound Interest

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Question

Anil borrowed a sum of Rs 9600 to install a handpump in his dairy. If the rate of interest is \[5\frac{1}{2} %\] per annum compounded annually, determine the compound interest which Anil will have to pay after 3 years.

Numerical
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Solution

\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[ = 9, 600 \left( 1 + \frac{5 . 5}{100} \right)^3 \]
\[ = 9, 600 \left( 1 . 055 \right)^3 \]
 = Rs 11, 272 . 72
Now, 
CI = A - P
 = Rs 11, 272 . 72 - Rs 9, 600
 = Rs 1, 672 . 72

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