1986 AMC 8 Problem 15

Attempt Problem 15 of the 1986 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 1986 AMC 8 solutions, or check the answer key.

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

15.

Sale prices at the Ajax Outlet Store are 50%50\% below original prices. On Saturdays an additional discount of 20%20\% off the sale price is given. What is the Saturday price of a coat whose original price is $180?\$180?
$54\$54
$72\$72
$90\$90
$108\$108
$110\$110
Answer: B
Concepts:percentage
Small hint:
A 50%50\% discount leaves half the original price
Big hint:
Then take 80%80\% of that sale price to apply the extra 20%20\% off
Solution:
The sale price is 50%50\% of $180,\$180, or $90.\$90. The Saturday price takes another 20%20\% off, leaving 80%80\% of $90,\$90, which is $72.\$72.
Thus, the correct answer is B .
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