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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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
Small hint:
The Monday discount is taken from Friday’s increased price.
Big hint:
Multiply the original price by 1.10,1.10, then by 0.90.0.90.
Solution:
On Friday, the shoes are marked up by 10%,10\%, so the listed price becomes 40⋅1.10=4440\cdot1.10=44 dollars.
On Monday, the 10%10\% discount is taken from $44,\$44, giving 44⋅0.90=39.6044\cdot0.90=39.60 dollars.
Thus, B is the correct answer.
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