The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is________?
Correct answer: B. Rs. 3
- A. Rs. 2.50
- B. Rs. 3
- C. Rs. 3.75
- D. Rs. 4
Explanation
With half-yearly compounding, the rate per half-year is 5% and there are 2 periods in 1 year. Compound interest is Rs. 1200[(1.05)^2 - 1] = Rs. 123, while simple interest is Rs. 1200 x 10 x 1 / 100 = Rs. 120, so the difference is Rs. 3. The likely mistake is choosing option a, Rs. 2.50, by applying 10% to each half-year rather than dividing the annual rate by 2.
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