Gujarati
Hindi
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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