The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

A. Rs. 2.50

B. Rs. 3

C. Rs. 3.75

D. Rs. 4

E. None of these

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{S}}{\text{.I}}{\text{.}}\, = Rs.\,\left( {\frac{{1200 \times 5 \times 2}}{{100}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,120 \cr & {\text{C}}{\text{.I}}{\text{.}} = Rs.\,\left[ {1200 \times {{\left( {1 + \frac{5}{{100}}} \right)}^2} - 1200} \right] \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,123 \cr & \therefore {\text{Difference}} = Rs.\,\left( {123 - 120} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,3 \cr} $$