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6.Interest
medium
The simple interest on a certain sum at $4 \%$ per annum for $2$ years is ₹ $80$. The compound interest (In ₹) on the same sum for the same period is
A
$91.60$
B
$81.60$
C
$71.60$
D
None of these
Solution
(b) We have, $CI – SI =\frac{R \times SI }{200}$
$\begin{aligned} \Rightarrow \quad CI =& SI +\frac{R \times SI }{200}= SI \left(1+\frac{R}{200}\right)=80\left(1+\frac{4}{200}\right) \\ &[\text { Here }, R=4 \text { and } S I=80] \\=& \frac{80 \times 51}{50}=₹ 81.60 \end{aligned}$
Standard 13
Quantitative Aptitude