a) Rs. 60000
b) Rs. 72000
c) Rs. 62000
d) Rs. 54000
Answer: b
Explanation: Rate % = 10%,
Time = 1 year
Case (I) : When interest is calculated yearly, Rate = 10%
Case (II) : When interest is calculated half yearly
$$\eqalign{
& \Rightarrow {\text{New rate }}\% = \frac{{10}}{2} = 5\% \cr
& {\text{Time = 1}} \times {\text{2}} = {\text{2 years}} \cr
& {\text{Effective rate}}\% \cr
& {\text{ = 5 + 5 + }}\frac{{5 \times 5}}{{100}} = 10.25\% \cr
& {\text{Difference in rates}} \cr
& {\text{ = }}\left( {10.25 – 10} \right)\% = 0.25\% \cr
& {\text{0}}{\text{.25% of sum = Rs 180}} \cr
& {\text{Sum = }}\frac{{180}}{{0.25}} \times 100 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs. }}72000 \cr} $$
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