A shoe store offers 'buy 3 pairs, get 1 pair free' on pairs of the same price. It also takes an extra 10% off the bill. What is the effective discount on the pairs received?

32.5%Correct answerYour answer

33\frac{1}{3}\%

Correct answerYour answer35%Correct answerYour answer67.5%Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

The customer takes 4 pairs and is billed for 3: the fraction paid is $3/4$ .
The extra 10% off leaves 90% of that bill.
Fraction paid = $\frac{3}{4} \times 0.9 = 0.675$ .
Effective discount = $1 - 0.675 = 32.5\%$ .

Worth noting

Adding $25\% + 10\% = 35\%$ overstates it. The extra 10% is taken on the reduced bill, not on the full value. 67.5% is the part paid, not the discount.

Concept: Free-item offer combined with a further discount
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsMarked price and discount

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Ten questions from Profit, Loss & Discount, at your own pace.

A shoe store offers 'buy 3 pairs, get 1 pair free' on pairs of the same price. It also takes an extra 10% off the bill. What is the effective discount on the pairs received?

Explanation