Bunuel wrote:
Tough and Tricky questions: Word Problems.
If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?
(1) The selling price minus the real estate agent’s commission was $84,600.
(2) The selling price was 250 percent of the original purchase price of $36,000.
Kudos for a correct solution. Target question: If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?
Statement 1: The selling price minus the real estate agent’s commission was $84,600. Let x equal the selling price of the house. So our goal is to find the value of x
From statement one we can write: x - (6% of x) = 84,600
Simplify: x - 0.06x = 84,600
Simplify: 0.94x = 84,600
Divide both sides by 0.94 to get x = 84,600/0.94
NOTE: We need not actually calculate 84,600/0.94. We need only recognize that we COULD determine the value of x, which means we could determine the selling price of the house.
Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: The selling price was 250 percent of the original purchase price of $36,000.Let x equal the selling price of the house.
We can write: x = 250% of 36,000
In other words: x = (2.5)(36,000)
Once again, we need only recognize that we COULD determine the value of x, which means we could determine the selling price of the house.
Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
_________________