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?

Answer: B

Concepts:percentage

Difficulty rating: 1020

AMC 8AMC 10AMC 12AIME

Video solution:

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Written solution:

Javier saved $0.40 \cdot 50 = 20$ dollars on the second pair. He also saved $50 / 2 = 25$ dollars on the third pair. This shows that he saved a total of $45$ dollars.

As $$45 / 150 = 3 / 10 = .30,$$ we can conclude that Javier saved $30 \%$ compared to the regular price.

Thus, B is the correct answer.