1960 AMC 12 Problem 3

Attempt Problem 3 of the 1960 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 1960 AMC 12 solutions, or check the answer key.

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

Applied to a bill for

\$10{,}000

the difference between a discount of

40\%

and two successive discounts of

36\%

and

4\%,

expressed in dollars, is:

0

144

256

400

416

Successive discounts are applied one after the other, not added

Compare

40\%

of the bill with

36\%

plus

4\%

of the remaining

64\%

40\%

discount is

\$4000.

The successive discounts total

3600+0.04(6400)=3856.

Their difference is

4000-3856=144

dollars.

Therefore, the correct answer is B.

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