A single discount equivalent to the discount series of 20%, 10% and 5% is_______?
Correct answer: C. 31.6%
- A. 25%
- B. 30%
- C. 31.6%
- D. 33.5%Education
Explanation
Successive discounts multiply the prices that remain: 100% x 80% x 90% x 95% = 68.4% of the list price. Therefore the equivalent single discount is 100% - 68.4% = 31.6%. Students often choose a by adding 20%, 10% and 5%, which ignores that each later discount applies after the previous discount.
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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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