a) 4% p.a.
b) 5% p.a.
c) $$6\frac{1}{4}$$ % p.a.
d) $$8\frac{1}{3}$$ % p.a.
Answer: a
Explanation: Let the rates of interest in the former and latter cases be R% and (R + 1) % p.a.
$$\eqalign{
& 5000 \times {\text{R}} \times 4 = 4000 \times \left( {{\text{R}} + 1} \right) \times 4 \cr
& \frac{{{\text{R}} + 1}}{{\text{R}}} = \frac{{5000 \times 4}}{{4000 \times 4}} \cr
& 1 + \frac{1}{{\text{R}}} = 1 + \frac{1}{4} \cr
& {\text{R}} = 4 \cr
& {\text{Required rate}} = 4\% \,{\text{p}}{\text{.a}}{\text{.}} \cr} $$
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