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6.Interest
medium
A sum of ₹ $15000$ deposited at compound interest becomes double after $5$ $years.$ After $20$ $years$, it will become (In ₹)
A
$120000$
B
$150000$
C
$155000$
D
$240000$
Solution
or $15000\left(1+\frac{R}{100}\right)^{5}=30000$
$\left(1+\frac{R}{100}\right)^{5}=2$
$\begin{aligned} \therefore \quad 15000\left(1+\frac{R}{100}\right)^{20} &=15000\left[\left(1+\frac{R}{100}\right)^{5}\right]^{4} \\ &=15000 \times 2^{4}=2,40,000 \end{aligned}$
: Amount after 20 years $=₹ 2,40,000$
Standard 13
Quantitative Aptitude