- Home
- Standard 13
- Quantitative Aptitude
6.Interest
medium
What will be the amount (In ₹) if a sum of ₹ $5000$ is placed at compound interest for $3$ years while rate of interest for the first, second and third years is $2,3$ and $4$ per cent, respectively?
A
$5643.12$
B
$5463.12$
C
$6413.12$
D
None of these
Solution
(b) Here, $P=5000, R_{1}=2, R_{2}=3$ and $R_{3}=4$
$\therefore$ Amount after 3 years
$=P\left(1+\frac{R_{1}}{100}\right)\left(1+\frac{R_{2}}{100}\right)\left(1+\frac{R_{3}}{100}\right)$
$=5000\left(1+\frac{2}{100}\right)\left(1+\frac{3}{100}\right)\left(1+\frac{4}{100}\right)$
$=5000 \times \frac{51}{50} \times \frac{103}{100} \times \frac{26}{25}$
$=₹ 5463 \cdot 12$
Standard 13
Quantitative Aptitude
