The difference between simple and compound interest (compounded-annually) on a sum of money for 2 years at 10% per annum is Rs 65. The sum is_________?
Correct answer: A. Rs 6500
- A. Rs 6500
- B. Rs 6565
- C. Rs 65065
- D. Rs 65650
Explanation
For 2 years at 10%, the difference between compound and simple interest is P x (10/100)^2 = 0.01P. Thus, 65 Rs = 0.01P, so P = 6,500 Rs. Students may choose 6,565 Rs by confusing the principal with the compound amount after one year or by adding the interest to the calculated principal.
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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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