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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 .  1
B .  2
C .  3
D .  3.5
Answer: Option B

Answer : Option B

Explanation :

Let the period be n years
Then, amount after n years = Rs.(30000 + 4347) = Rs. 34347
$MF#%\begin{align}&\text{P}\left(1 + \dfrac{\text{R}}{100}\right)^\text{T} = 34347\\\\ &30000\left(1 + \dfrac{7}{100}\right)^\text{n} = 34347\\\\ &30000\left(\dfrac{107}{100}\right)^\text{n} = 34347\\\\ &\left(\dfrac{107}{100}\right)^\text{n} = \dfrac{34347}{30000} = \dfrac{11449}{10000} = \left(\dfrac{107}{100}\right)^2\\\\ &n = 2\text{ years}\end{align}$MF#%



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