1953 AMC 12 Problem 2

Attempt Problem 2 of the 1953 AMC 12 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 1953 AMC 12 solutions, or check the answer key.

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

2.

A refrigerator is offered for sale at $250.00\$250.00 less successive discounts of 20%20\% and 15%.15\%. The sale price of the refrigerator is:
35%35\% less than $250.00\$250.00
65%65\% of $250.00\$250.00
77%77\% of $250.00\$250.00
68%68\% of $250.00\$250.00
none of these
Answer: D
Concepts:successive discountspercentagemultiplication
Small hint:
Apply each discount to the price remaining after the preceding discount
Big hint:
Multiply the original price by (1−0.20)(1−0.15)(1-0.20)(1-0.15)
Solution:
The two discounts leave (0.80)(0.85)=0.68 (0.80)(0.85)=0.68 of the original price. The sale price is therefore 68%68\% of $250.00,\$250.00, or $170.00.\$170.00.
Thus, the correct answer is D.
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