On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is________?
Correct answer: D. None of these
- A. 10%
- B. 10.5%
- C. 12%
- D. None of these
Explanation
The difference is Rs.696.30 - Rs.660 = Rs.36. For 2 years, the difference divided by the simple interest equals r/2, so r = 2 x Rs.36 ÷ Rs.660 = 0.10909, or about 10.91% per annum, which is not listed. Choosing 10% gives a difference of only Rs.33, while 10.5% gives about Rs.34.65, so option d is correct.
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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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