If an organization were to sell n tickets for a theater

[varun289]

284. If an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. If the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production?
(A) 4%
(B) 10%
(C) 14%
(D) 15%
(E) 18%

[puneetkhurana2000]

Let cost per item be $1. So total cost = n and revenue is 1.2 * n which gives us the selling price per item as $1.2.

Now selling price of 95% of tickets will generate revenue of $ 1.2 * 0.95 * n.

Answer is (1.2 * 0.95 * n/(Total Costs)) * 100 .. Now Total Costs = n

Answer is [spoiler]14%[/spoiler]