The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
Correct answer: A. 8
- A. 8
- B. 10
- C. 12
- D. Cannot be determined
Explanation
For 2 years, the difference is P(r/100)^2. Thus Rs.96 = Rs.15,000 x (r/100)^2, so (r/100)^2 = 0.0064 and r = 8% per annum. The common error is choosing 10% by estimating the rate instead of taking the square root of the calculated square.
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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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