Noshad wrote:
The tickets tor a certain concert were supposed to be distributed so that for every three tickets that were sold, one ticket was to be given away for free. Due to low demand, the ratio changed so that, although the total number of the tickets and the total revenue remained the same, the relative number of free tickets doubled. How many times larger was the actual price of each ticket?
A. 1.25
B. 1.33
C. 1.5
D. 2
E. 2.25
Let P be the number of Paid tickets, F be the number of free tickets, X be the earlier price for paid tickets
P/F= 3/1 ( FOR EVERY 3 PAID TICKETS 1 IS FREE)
[b]After change in ratio due to low demand-[b]
F is to be doubled , which means free ticket number will become - 2F ( F+F)
Which means NUMBER OF PAID TICKETS (P) will reduce by F ( P-F )
Let price of Paid tickets change to Y
Since Revenue remains same-
P * X = (P - F ) * Y
Y/X = P/(P-F)
put F= P /3 in equation
Y/X = 3/2 HENCE 1.5 is the answer
Hence C
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