If amount is 6 frac{1}{4} times sum after 2 years at compound interest, rate of interest (In % ) per

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6.Interest

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If the amount is $6 \frac{1}{4}$ times the sum after $2$ years at compound interest, the rate of interest (In $\%$) per annum is

A

$130$

B

$140$

C

$125$

D

$150$

Solution

Let amount be 100

Then $100 \times \frac{25}{4}=$ Rs. $625 \quad$ (Final amount)

So, $625=100\left[\left(1+\frac{ r }{100}\right)^{2}\right]$

$\Rightarrow \frac{25}{10}=\left(\frac{100+r}{100}\right) \Rightarrow \frac{5}{2}=\frac{100+r}{100} \Rightarrow r=150 \%$

Standard 13

Quantitative Aptitude

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