The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is________?
Correct answer: C. Rs. 1750
- A. Rs. 1550
- B. Rs. 1650
- C. Rs. 1750
- D. Rs. 2000
Explanation
The compound interest on Rs. 4000 for 2 years at 10% is Rs. 4000[(1.10)^2 - 1] = Rs. 840, so half of it is Rs. 420. For the required sum P, simple interest is P x 8 x 3 / 100 = 0.24P, giving 0.24P = Rs. 420 and P = Rs. 1750. The likely mistake is choosing option a, Rs. 1550, from an incorrect compound-interest calculation.
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Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.
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