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Profit, Loss & Discount · Question 69 of 72

Question 69

HardOriginal question

A festival sale advertises '25% off, plus an extra discount on the reduced price'. What must the extra discount be for the deal to equal a flat 35% off?

10%Correct answerYour answer12%Correct answerYour answer

13\frac{1}{3}\%

Correct answerYour answer15%Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Flat 35% off means paying 0.65 of the MP.
After 25% off, the price is 0.75 of the MP.
Second fraction paid = $\frac{0.65}{0.75} = \frac{13}{15}$ .
Extra discount = $1 - \frac{13}{15} = \frac{2}{15} = 13\frac{1}{3}\%$ .

Worth noting

10% $(35\% - 25\%)$ is too small, because it is taken on the reduced price. 25% then 10% gives only 32.5%.

Concept: Finding the extra discount that matches a flat discount
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsSuccessive discounts

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