2013 AMC 8 Problems/Problem 12

Problem

At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50, you get a second pair at a 40% discount, and a third pair at half the regular price. Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150 regular price did he save?

$\textbf{(A)}\ 25 \qquad \textbf{(B)}\ 30 \qquad \textbf{(C)}\ 33 \qquad \textbf{(D)}\ 40 \qquad \textbf{(E)}\ 45$

Solution

First, find the amount of money one will pay for three sandals without the discount. This would = the regular price, $\textdollar 50$ $\times$ 3 sandals = $\textdollar 150$ .

Then, find the amount of money using the discount: 50 + 0.6 $\times$ 50 + $\frac{1}{2}$ $\times$ 50 = $\textdollar 105$ .

To find the percentage of the regular, do this: $\frac{105}{150}$ = $\% 70$ .

2013 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 11	Followed by Problem 13
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All AJHSME/AMC 8 Problems and Solutions

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2013 AMC 8 Problems/Problem 12

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