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6.Interest
medium
The compound interest (In ₹) on ₹ $10000$ at $20 \%$ per annum at the end of $1$ year $6$ months if the interest is calculated half-yearly will be
A
$5320$
B
$3310$
C
$4340$
D
None of these
Solution
(b) Here, $P=10000, R=20$ and $t=\frac{3}{2}$
$\begin{aligned} \therefore \quad CI &=P\left[\left(1+\frac{R}{100 \times 2}\right)^{2 t}-1\right] \\ &=10000\left[\left(1+\frac{20}{100 \times 2}\right)^{2 \times \frac{3}{2}}-1\right] \end{aligned}$
$=10000\left[\left(\frac{11}{10}\right)^{3}-1\right]$
$=10000\left(\frac{11 \times 11 \times 11}{10 \times 10 \times 10}-1\right)$
$=\frac{10000 \times 331}{1000}=₹ 3310$
Standard 13
Quantitative Aptitude
