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Ramesh Deposited Rs 7500 in a Bank Which Pays Him 12% Interest per Annum Compounded Quarterly. What is the Amount Which He Receives After 9 Months.

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प्रश्न

Ramesh deposited Rs 7500 in a bank which pays him 12% interest per annum compounded quarterly. What is the amount which he receives after 9 months.

संख्यात्मक
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उत्तर

Given: 
P = Rs 7, 500
R = 12 % p . a . = 3 % quarterly
T = 9 months = 3 quarters
We know that: 
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[A = 7, 500 \left( 1 + \frac{3}{100} \right)^3 \]
\[ = 7, 500 \left( 1 . 03 \right)^3 \]
 = 8, 195 . 45
Thus, the required amount is Rs 8, 195 . 45.

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