a) 4 years
b) 5 years
c) $$6\frac{1}{4}$$ years
d) $$8\frac{2}{3}$$ years
Answer: c
Explanation:
$$\eqalign{
& {\text{Let the required time = t years }} \cr
& \Leftrightarrow \frac{{500 \times 4 \times 6.25}}{{100}} = \frac{{400 \times 5 \times {\text{t}}}}{{100}} \cr
& \Leftrightarrow 5 \times 4 \times 625 = 400 \times 5 \times {\text{t}} \cr
& \Leftrightarrow {\text{t = }}\frac{{625}}{{100}} = \frac{{25}}{4} \cr
& {\text{t}} = 6\frac{1}{4}{\text{years}} \cr} $$
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