Question

What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?
(1) x= 50
(2) Full-price tickets sold for $20 each.

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.
• E. Statements (1) and (2) together are not sufficient.

Answer 1

The correct option is E Statements (1) and (2) together are not sufficient.

1. While statement 1 reveals that some of the 400 tickets were sold at 50 percent of the full price and some were sold at full price, there is no information as to the amounts in either category nor is there any information as to the cost of a full-price ticket; NOT sufficient.
2. Full-price tickets sold for $20each.Althoughthisspecifiesthepriceofthefull-pricetickets,itisstillunknownhowmanyticketsweresoldatfullpriceoratadiscount.Moreover,thepercentofthediscountisnotdisclosed;NOTsufficient.While\left(1\right)and\left(2\right)togethershowthatfull-priceticketswere$20 and discount tickets were 50 percent of that or $10, the number or percentage of tickets sold at either price and thus the theater’s revenue, cannot be determined.

• The correct answer is E; both statements together are still not sufficient