a) Rs. 4650
b) Rs. 5650
c) Rs. 6650
d) Rs. 7650
Answer: d
Explanation:
$$\eqalign{
& {\text{Let the rate be R}}\% {\text{ p}}{\text{.a}}{\text{. }} \cr
& {\text{25500}}{\left( {1 + \frac{{\text{R}}}{{100}}} \right)^3} \cr
& = 25500 + 8440.50 \cr
& = 33940.50 \cr} $$
$$ \Rightarrow {\left( {1 + \frac{{\text{R}}}{{100}}} \right)^3} = \frac{{33940.50}}{{25500}} = $$ $$\frac{{1331}}{{1000}} = $$ $${\left( {\frac{{11}}{{10}}} \right)^3}$$
$$\eqalign{
& 1 + \frac{{\text{R}}}{{100}} = \frac{{11}}{{10}} \cr
& \frac{{\text{R}}}{{100}} = \frac{1}{{10}} \cr
& {\text{R}} = 10\,\% \cr
& S.I. = {\text{R}}s.\left( {\frac{{25500 \times 10 \times 3}}{{100}}} \right) \cr
& = {\text{Rs}}{\text{.}}\,7650 \cr} $$
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