Multiple choice

The Rice Tent Company sells tents in two different sizes, large and small. Last year, the company sold 200 tents, out of which one-quarter were large. The sales of the large tents produced one-third of the company's income. What was the ratio of the price of a large tent to the price of a small tent last year?

  1. 2 : 1

  2. 3 : 2

  3. 1 : 3

  4. 3 : 4

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total tents = 200. Large = 50, Small = 150. Let PL and PS be prices. Income from large = 50 * PL. Total income = 3 * (50 * PL) = 150 * PL. Income from small = 150 * PS. Total income = 50 * PL + 150 * PS. Thus, 150 * PL = 50 * PL + 150 * PS, so 100 * PL = 150 * PS. PL/PS = 150/100 = 3/2.

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