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The compound interest on Rs. 5000 for 3 years at 10% p.a. will amount to = ?

a) Rs. 1654
b) Rs. 1655
c) Rs. 1600
d) Rs. 1565

Answer: b
Explanation:
$$\eqalign{ & {\text{Principal = Rs. 5000}} \cr & {\text{Time = 3 years}} \cr & {\text{Rate = 10}}\% {\text{ = }}\frac{1}{{10}} \cr & {\text{Principal}}\,\,\,\,\,\,\,{\text{Amount}} \cr & \,\,\,\,\,\,\,\,\,\,{\text{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{11}} \cr & \,\,\,\,\,\,\,\,\,\,{\text{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{11}} \cr & \,\,\,\,\,\,\,\,\,\,{\text{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{11}} \cr & \underbrace {\overline {\,\,\,\,\,\,1000\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{1331}}\,\,\,\,\,} }_{331{\text{ units}}} \cr & 1000{\text{ units = Rs 5000}} \cr & 1{\text{ units = Rs 5}} \cr & 331{\text{ units = 331}} \times {\text{5}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs. 1655}} \cr} $$

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