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Find the Amount of Rs 2400 After 3 Years, When the Interest is Compounded Annually at the Rate of 20% per Annum.

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Question

Find the amount of Rs 2400 after 3 years, when the interest is compounded annually at the rate of 20% per annum.

Sum
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Solution

Given: 
P = Rs 2, 400
R = 20 % p . a . 
n = 3 years
We know that amount A at the end of n years at the rate R % per annum when the interest is 
compounded annually is given by A = P\[ \left( 1 + \frac{R}{100} \right)^n . \]
\[ \therefore A = 2, 400 \left( 1 + \frac{20}{100} \right)^3 \]
\[ = 2, 400 \left( 1 . 2 \right)^3 \]
\[ = 4, 147 . 20\]
Thus, the required amount is Rs 4, 147 . 20 .

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Chapter 14: Compound Interest - Exercise 14.2 [Page 14]

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R.D. Sharma Mathematics [English] Class 8
Chapter 14 Compound Interest
Exercise 14.2 | Q 2 | Page 14

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