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6.Interest
hard
What will be the compound interest (In ₹) on a sum of ₹ $1875$ after $2$ years if the rate of interest for the first year is $4 \%$ and that for the second year is $8 \% ?$
A
$231$
B
$341$
C
$241$
D
None of these
Solution
(a) Here, $P=1875, R_{1}=4$ and $R_{2}=8$.
$\begin{aligned} \therefore \quad CI &=P\left[\left(1+\frac{R_{1}}{100}\right)\left(1+\frac{R_{2}}{100}\right)-1\right] \\ &=1875\left[\left(1+\frac{4}{100}\right)\left(1+\frac{8}{100}\right)-1\right] \\ &=1875\left[\frac{26}{25} \times \frac{27}{25}-1\right] \\ &=\frac{1875 \times 77}{625}=₹ 231 \end{aligned}$
Standard 13
Quantitative Aptitude
