Find the amount of Rs 4096 for 18 months at

Question:

Find the amount of Rs 4096 for 18 months at $12 \frac{1}{2} \%$ per annum, the interest being compounded semi-annually.

Solution:

Given:

$\mathrm{P}=\mathrm{Rs} 4,096$

$\mathrm{R}=12.5 \%$ p. a.

$\mathrm{n}=18$ months $=1.5$ years

We have :

$\mathrm{A}=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{\mathrm{n}}$$=\operatorname{Rs} 4,096\left(1+\frac{12.5}{200}\right)^{3}$

$=\operatorname{Rs} 4,096(1.0625)^{3}$

$=\operatorname{Rs} 4,913$

Thus, the required amount is Rs 4,913 .

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