If the simple interest on a certain sum of money after 3 1⁄8 years is 1⁄4 of the principal, what is the rate of interest per annum?
Correct answer: C. 8%
- A. 6%
- B. 4%
- C. 8%
- D. 12%Credit & Lending
Explanation
Using simple interest, SI = P x r x t, so SI/P = r x t. Since SI/P = 1/4 and t = 3 1/8 years = 25/8 years, r = (1/4) ÷ (25/8) = 2/25 = 0.08 = 8% per annum. Option b, 4%, comes from roughly halving the required rate or mishandling the time period.
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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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