2003 AMC 8 Problem 11

Attempt Problem 11 of the 2003 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 8 solutions, or check the answer key.

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11.

Business is a little slow at Lou's Fine Shoes, so Lou decides to have a sale. On Friday, Lou increases all of Thursday's prices by 10%.10 \%. Over the weekend, Lou advertises the sale: "Ten percent off the listed price. Sale starts Monday." How much does a pair of shoes cost on Monday that cost $40\$40 on Thursday?

$36\$36

$39.60\$39.60

$40\$40

$40.40\$40.40

$44\$44

Answer: B
Concepts:percentage
Difficulty rating: 1060
Solution:

On Friday, the shoes are marked up by 10%10\%, so the listed price becomes 401.10=4440\cdot1.10=44 dollars.

On Monday, the 10%10\% discount is taken from $44\$44, giving 440.90=39.6044\cdot0.90=39.60 dollars.

Thus, B is the correct answer.

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