GMAT Practice Question: At a garage sale, all of the prices of the items sold were different. If the price of a radio...
Question
At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15{ }^{\text {th }} highest price and the 20{ }^{\text {th }} lowest price among the prices of the items sold, how many items were sold at the garage sale?
- 33
- 34
- 35
- 36
- 37
Topics: word problems, calculations
Solution
Step 1
We create an unknown for the total number of items sold.
N = \text{total number of items}
Step 2
The radio’s price was the 15th highest, so 14 items had higher prices, and it was the 20th lowest, so 19 items had lower prices. Adding these plus the radio gives the total.
N = 14 + 1 + 19
Answer
34
