How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Correct answer: A. Rs.482
- A. Rs.482
- B. Rs.424
- C. Rs.842
- D. Rs.512
Explanation
With half-yearly compounding, Amount = Rs.20000 x 1.10⁴ = Rs.29282, while yearly compounding gives Rs.20000 x 1.20² = Rs.28800. The difference is Rs.29282 - Rs.28800 = Rs.482. Students may choose Rs.424 by using an incorrect number of half-yearly periods or by calculating the interest difference inaccurately.
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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.
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