Bunuel wrote:
What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price?
To answer the question we should know:
(i) The number of tickets sold at a regular price;
(ii) The number of tickets sold at a reduced price;
(iii) The price of a regular ticket;
(iiii) The price of a reduced ticket;
(1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. 100 tickets were sold at a regular price and 300 tickets were sold at a reduced price. We know (i) and (ii) only. Not sufficient.
(2) The full price of a ticket was $25. We know only (iii). Not sufficient.
(1)+(2) We know (i), (ii) and (iii) , but we still don't know the price of a reduced ticket. Not sufficient.
Answer: E.
Bunuel,
I agree with your explanation. But I feel there is an ambiguity in the question.
In the problem statement it was no where captured total number of tickets are 400 tickets only. It can be T total number of tickets and out of which 400 tickets are sold at Full and Reduced price. And the question wants to know the revenue of only 400 tickets.
Statement 1 says 1/4 of the T tickets are sold at full price. i.e. 1/4 T = Sold full price. T is unknown not sufficient.
Statement 2 itself is not sufficient.
So S1 and S2 together not sufficient. Hence ANS : E.
Is my interpretation of the problem has any issues ? OR is it toooo much of an assumption ?