Let n = 100; Price of each ticket = 12
Cost = (Revenue)/1.2 = (100*12)/1.2 = 1000

Suppose the organization sold all but 5% of tickets i.e. 95 tickets, then revenue = 95*12

Percentage required = ((95*12 - 1000)/1000)*100 = (1140 - 1000)/10 = 14%

Answer: C

Pick numbers.
N= 20
Cost = $100
Revenue +20% = $120

Results of numbers picked.
Unit price of N = $6
N - 5% = 19 tickets
New revenue = 19 * 6 =114
Cost 100, new revenue 114, increase 14%

\(n = 1.2p\)
\(0.95n = xp\)

\(x = \frac{0.95n * 1.2p}{pn} = 0.95 * 1.2 = 1.14 = 14%\). Ans - C.
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[quote="Bunuel"]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%

Hello,

I do not understand why, given the change in the number of tickets sold, one changes the revenue BUT NOT THE COST. I think it is weird that one must assume costs are fixed. Am I not understanding something here?

Hey Bunuel.

Let me repeat my same doubt.

You say

BUT
Sold 95 Tickets
Total revenue 95*1.2 = 114 OK MAKES SENSE

BUT SHY ASSUME COSTS ARE THE SAME 100?? WHY NOT 95* UNIT COST