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Profit, Loss & Discount · Question 71 of 72

Question 71

HardOriginal question

After three successive discounts, a customer pays 61.2% of the marked price of a dining table. The first two discounts are 20% and 15%. What is the third discount?

Options for question 71

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. After the first two discounts she would pay 0.8×0.85=0.680.8 \times 0.85 = 0.68 of the MP.

  2. Third fraction paid = 0.6120.68=0.9\frac{0.612}{0.68} = 0.9.

  3. Third discount = 1−0.9=10%1 - 0.9 = 10\%.

Worth noting

3.8% comes from 38.8%−35%38.8\% - 35\%, which adds and subtracts the discounts instead of multiplying the fractions paid.

Concept
Finding the third of three successive discounts
Typical time
95 s
Your time
—
The rule this testsSuccessive discounts
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