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Compound Interest
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The compound interest on Rs. 4,000 after 3 year is Rs. 630.50. Then the rate of interest compounded yearly is:

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & 4630.50 = 4000{\left( {1 + \frac{R}{{100}}} \right)^3} \cr & 9261 = 8000{\left( {1 + \frac{R}{{100}}} \right)^3} \cr & \frac{{9261}}{{8000}} = {\left( {1 + \frac{R}{{100}}} \right)^3} \cr & {\left( {\frac{{21}}{{20}}} \right)^3} = {\left( {1 + \frac{R}{{100}}} \right)^3} \cr & \frac{{21}}{{20}} = \left( {1 + \frac{R}{{100}}} \right) \cr & \frac{1}{{20}} = \frac{R}{{100}} \cr & R = 5 \cr} $$
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