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Rohit Deposited Rs 8000 with a Finance Company for 3 Years at an Interest of 15% per Annum. What is the Compound Interest that Rohit Gets After 3 Years?

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Question

Rohit deposited Rs 8000 with a finance company for 3 years at an interest of 15% per annum. What is the compound interest that Rohit gets after 3 years?

Numerical
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Solution

We know that amount A at the end of n years at the rate of R % per annum is given by A = P \[\left( 1 + \frac{R}{100} \right)^n . \]
Given: 
P = Rs 8, 000
R = 15 % p . a . 
n = 3 years
Now, 
\[A = 8, 000 \left( 1 + \frac{15}{100} \right)^3 \]
\[ = 8, 000 \left( 1 . 15 \right)^3 \]
 = Rs 12, 167
And, 
CI = A - P
 = Rs 12, 167 - Rs 8, 000
 = Rs 4, 167

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