ranjani2002 wrote:If the circus were to sell of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 5% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?
a. 2
b. 5
c. 100/21
d. 110/20
e. 9/4
Since the question is asking for a percentage and there is an unknown in the problem -- the ticket price -- we can plug in for the unknown.
Let ticket price = 20. Now let's take this number through the problem:
220 tickets for this month's performance at its usual price 220 * 20 = 4400
the revenue from sales would be 10% greater than that collected last month. 4400 is 10% more than 4000, so last month = 4000
If the circus raised the ticket price by 5% 5/100 * 20 = 1, so raised ticket price = 20+1 = 21
and sold only 200 tickets as a result 200*21 = 4200
what percent less would last month's revenue be compared to this month's revenue? % decrease = difference/(larger number) * 100 = (4200-4000)/4200 * 100 = 200/42 = 100/21
The correct answer is C.
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