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The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is

a) 3
b) 4
c) 5
d) 6

Answer: b
Explanation:
$$\eqalign{ & P{\left( {1 + \frac{{20}}{{100}}} \right)^n} > 2P\,\,\, \Rightarrow \,\,\,{\left( {\frac{6}{5}} \right)^n} > 2 \cr & \left( {\frac{6}{5} \times \frac{6}{5} \times \frac{6}{5} \times \frac{6}{5}} \right) > 2 \cr & n = 4\,{\text{years}} \cr} $$

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