मराठी

Find the Amount of Rs 4096 for 18 Months at 12 1 2 % per Annum, the Interest Being Compounded Semi-annually.

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प्रश्न

Find the amount of Rs 4096 for 18 months at

\[12\frac{1}{2} \%\] per annum, the interest being compounded semi-annually.
बेरीज
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उत्तर

Given: 
P = Rs 4, 096
R = 12 . 5 % p . a . 
n = 18 months = 1 . 5 years
We have: 
\[\text{ A = P }\left( 1 + \frac{R}{100} \right)^n \]
When the interest is compounded semi - annually, we have: 
\[\text{ A = P }\left( 1 + \frac{R}{200} \right)^{2n} \]
\[ =\text{ Rs }4, 096 \left( 1 + \frac{12 . 5}{200} \right)^3 \]
\[ =\text{ Rs }4, 096 \left( 1 . 0625 \right)^3 \]
\[ =\text{ Rs }4, 913\]
Thus, the required amount is Rs 4, 913.

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