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Sum of Money Amounts to Rs 453690 in 2 Years at 6.5% per Annum Compounded Annually. Find the Sum. - Mathematics

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Question

Sum of money amounts to Rs 453690 in 2 years at 6.5% per annum compounded annually. Find the sum.

Sum
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Solution

\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[453, 690 = P \left( 1 + \frac{6 . 5}{100} \right)^2 \]
\[P \left( 1 . 065 \right)^2 = 453, 690\]
\[P = \frac{453, 690}{1 . 134225}\]
\[P = 400, 000\]
Thus, the required sum is Rs 400, 000.
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Chapter 14: Compound Interest - Exercise 14.3 [Page 21]

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RD Sharma Mathematics [English] Class 8
Chapter 14 Compound Interest
Exercise 14.3 | Q 28 | Page 21

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