1967 AMC 12 Problem 30
Attempt Problem 30 of the 1967 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 1967 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
30.
A dealer bought radios for dollars, a positive integer. He contributed two radios to a community bazaar at half their cost. The rest he sold at a profit of on each radio sold. If the overall profit was then the least possible value of for the given information is:
Answer: D
Small Hint:
Each radio costs dollars
Big Hint:
Write the total intake from profitable sales and two half-cost sales
Solution:
The regular sales bring while the two bazaar radios bring together. Since the total intake is This reduces to Positivity requires and gives the positive integer
Therefore, the correct answer is D.
Problem 30 in Other Years
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