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A sum becomes 4 times at simple interest in 10 years. What is the rate of interest?

a) 10%
b) 20%
c) 30%
d) 40%

Answer: c
Explanation:
$$\eqalign{ & {\text{Let rate is }}R\% \cr & {\text{Now}}, \cr & P = 100, \cr & A = 400, \cr & I = 400 – 100 = 300, \cr & {\text{Time}},\,T = 10\,{\text{years}} \cr & I = \frac{{PTR}}{{100}} \cr & R = \frac{{ {100 \times I} }}{{PT}} \cr & R = \frac{{ {100 \times 300} }}{{ {100 \times 10} }} \cr & {\text{Hence}},{\kern 1pt} R = 30\% \cr} $$

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