1998 AMC 8 Problem 9

Attempt Problem 9 of the 1998 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 1998 AMC 8 solutions, or check the answer key.

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

9.

For a sale, a store owner reduces the price of a $10\$10 scarf by 20%.20\%. Later the price is lowered again, this time by one-half the reduced price. The price is now
$2.00 \$2.00
$3.75\$3.75
$4.00\$4.00
$4.90\$4.90
$6.40\$6.40
Answer: C
Concepts:percentage
Small hint:
A 20%20\% reduction leaves 80%.80\%.
Big hint:
The second reduction halves the reduced price.
Solution:
After the 20%20\% reduction, the price is $10⋅0.8=$8.\$10\cdot 0.8=\$8.
Then, after halving the price, the price is $82=$4.\dfrac{\$8}{2}=\$4.
Thus, the correct answer is C .
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