1955 AMC 12 Problem 7

Attempt Problem 7 of the 1955 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 1955 AMC 12 solutions, or check the answer key.

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

If a worker receives a

20

percent cut in wages, he may regain his original pay exactly by obtaining a raise of:

20

percent

25

percent

22\dfrac12

percent

\$20

\$25

After the cut, the wage is

80\%

of the original

Find the percent of the reduced wage represented by the missing

20\%

of the original

If the original wage is

W,

the reduced wage is

0.8W.

The needed increase is

0.2W,

which as a fraction of the reduced wage is

\frac{0.2W}{0.8W}=\frac14=25\%.

Thus, the correct answer is B.

Problem 7 in other years