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).

For a sale, a store owner reduces the price of a $\$10$ scarf by $20\% .$ Later the price is lowered again, this time by one-half the reduced price. The price is now

$\$2.00$

$\$3.75$

$\$4.00$

$\$4.90$

$\$6.40$

Answer: C

Concepts:percentage

Difficulty rating: 860

Solution:

After the $20\%$ reduction, the price is $\$10\cdot 0.8=\$8.$

Then, after halving the price, the price is $\dfrac {\$8}2 = \$4.$

Thus, the correct answer is C .

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