1950 AMC 12 Problem 22

Attempt Problem 22 of the 1950 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 1950 AMC 12 solutions, or check the answer key.

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22.

Successive discounts of

10\%

and

20\%

are equivalent to a single discount of:

30\%

15\%

72\%

28\%

None of these

Apply both discounts to a price of

100

After the first discount, the second discount is taken from

90,

not from

100

Starting from a price of

100,

the first discount leaves

90.

The second discount leaves

0.8(90)=72.

The total reduction is therefore

100-72=28,

28\%.

Thus, the correct answer is D.

Problem 22 in other years