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6.Interest
medium
What will be $C.I.$ (In $Rs.$) on an amount of $Rs. 10000$ at the rate of $20$ $p.c.p.a.$ in two years if the interest rate is compounded half yearly?
A
$4525$
B
$4232$
C
$4641$
D
$4461$
Solution
Here, the amount is compounded half-yearly
Hence, Rate $=\frac{ R }{2} \%=10 \%$ per annum
Time $=2 T =2 \times 2=4$ years
$\Rightarrow \begin{aligned} CI &= P \left[\left(1+\frac{ R }{100}\right)^{ n }-1\right] \\ &=10000\left[\left(1+\frac{10}{100}\right)^{4}-1\right]= Rs .4641 \end{aligned}$
Standard 13
Quantitative Aptitude
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