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Profit, Loss & Discount · Question 67 of 72

Question 67

MediumOriginal question

A furniture shop gives successive discounts of 20%, 10% and 5%. What single discount is equivalent to them?

Options for question 67

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Fraction paid = 0.8×0.9×0.95=0.6840.8 \times 0.9 \times 0.95 = 0.684.

  2. Single discount = 1−0.684=0.316=31.6%1 - 0.684 = 0.316 = 31.6\%.

Worth noting

35% adds the three rates. 68.4% is the part paid, not the discount.

Concept
Three successive discounts as a single discount
Typical time
55 s
Your time
—
The rule this testsSuccessive discounts
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