The successive discounts 20% and 15% are equal to a single discount of__________?
Correct answer: C. 32%
- A. 35%
- B. 38%
- C. 32%
- D. 29%
- E. None of these
Explanation
After a 20% discount, 80% of the marked price remains; after a further 15% discount, 85% of that remains. The final price is 0.80 x 0.85 = 0.68 of the marked price, so the single discount is 1 - 0.68 = 0.32 = 32%. The likely wrong choice is 35%, obtained by simply adding the two discount percentages.
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About Profit and Loss
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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