Paper 1 · Mathematical Reasoning and Aptitude
After selling a cycle for Rs 1680, a shopkeeper suffers a loss of 16%. If he wants to earn a 15% profit after allowing a discount of 8%, what should the marked price be?
ARs 2200
BRs 2450
CRs 2500 ✓ Correct
DRs 2600
Correct answer: (C) Rs 2500 — The marked price should be Rs 2500, so that is the answer.
Explanation
★The marked price should be Rs 2500, so that is the answer.
★A loss of 16% means 1680 is 84% of the cost price, so the cost is 1680 divided by 0.84, which is 2000.
★A 15% profit on 2000 needs a selling price of 2300.
★This selling price is 92% of the marked price, since 8% is given as discount.
★So the marked price is 2300 divided by 0.92.
★That equals 2500, so the marked price should be Rs 2500.
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