GMAT-Zenith wrote:A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?
3xr / 2 3x / 200r 3r / 200x 3xr / 200 xr / 600
Let r=100 cents.
For 3 people, the cost per mile = 3*100 = 300 cents = 3 dollars.
Let x = 2 miles.
Regular cost for 3 people to travel 2 miles = 3*2 = 6 dollars.
With a 50% discount, the cost in dollars = 3. This is our target.
Now we plug x=2 and r=100 into the answers to see which yields our target of 3.
Only answer choice
D works:
3xr/200 = (3*2*100)/200 = 3.
The correct answer is
D.
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