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At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

Options:
A .  6%
B .  6.5%
C .  7%
D .  7.5%
Answer: Option A

Let the rate be R% p.a.


Then, \(1200\times\left(1+\frac{R}{100}\right)^{2}=1348.32\)


\(\Rightarrow\left(1+\frac{R}{100}\right)^{2}=\frac{134832}{120000}=\frac{11236}{10000}\)


So,  \(\left(1+\frac{R}{100}\right)^{2} = \left(\frac{106}{100}\right)^{2}\)


\(1+\frac{R}{100} =\frac{106}{100}\)


R = 6%


 


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