Bunuel wrote:

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%

If we let c = the total cost of production, then 1.2c = the revenue from selling n tickets. Another way of saying this is that selling n tickets results in 1.2c. But we want to determine the total revenue from selling 95% of the tickets, or 0.95n. If we let x = the total revenue from selling 95% of the tickets, we can create the proportion:

n/1.2c = 0.95n/x

nx = (1.2c)(0.95n)

nx = 1.14nc

x = 1.14c

The total revenue from selling 95% of the tickets is 1.14c, which means that the total revenue is 14% greater than the cost of production.

Answer: C

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