If a television set is sold at x, a loss of 28\% would be incurred. If it is sold at y, a profit of 12\% would be incurred. What is the ratio of y to x?

  1. A. 41:9
  2. B. 31:9
  3. C. 23:9
  4. D. 14:9

Correct Answer: D. 14:9

Explanation

Let the cost price be 100. Selling at a 28\% loss gives x = 100 - 28 = 72. Selling at a 12\% profit gives y = 100 + 12 = 112. The ratio of y to x is 112:72 = 14:9.

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