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Let P is the principal and interest compounded half yearly at the rate of $ 20 \% $ per annum then amount after two years will be
Given:
Principal $=P$
Time $T=2\ years$
Rate of interest $R=20 \%$
To do:
We have to find the amount after 2 years.
Solution:
Time $= 2$ years
Rate of interest $=20 \%$ per annum compounded half-yearly
$r=\frac{R}{100}$
$r=\frac{20}{100}$
$r=0.2$ per year
Amount $= P(1+\frac{r}{n})^{nT} $
$= P(1+\frac{0.2}{2})^{2 \times 2}$
$= P(1.1)^4$
$= P(1.1)^4 $
$=1.4641P$
Amount after 2 years $=1.4641P$.
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