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The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

Options:
A .  2
B .  2\(\frac{1}{2}\)
C .  3
D .  4
Answer: Option A

Amount = Rs. (30000 + 4347) = Rs. 34347.


Let the time be n years.


Then ,  \(30000\left(1+\frac{7}{100}\right)^{n}= 34347\)


\(\Rightarrow\left(\frac{107}{100}\right)^{n}=\frac{34347}{30000}=\frac{11449}{10000}=\left(\frac{107}{100}\right)^{2}\)


So, n = 2 years.


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