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ECONOMY CARS? (PRINCETON)

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ECONOMY CARS? (PRINCETON)

by sanju09 » Thu May 07, 2009 4:11 am
ONE WEEK A CERTAIN CAR RENTAL RENTED 4/5 OF ITS CARS, INCLUDING 3/4 OF ITS ECONOMY CARS. IF 2/3 OF ITS CARS ARE ECONOMY CARS, WHAT % OF THE CARS THAT WERE NOT RENTED WERE ECONOMY CARS? (PRINCETON)
A: 33 1/3%
B: 50%
C: 66 2/3%
D: 75%
E: 83 1/3%




The sender called it a PRINCETON question with no answer, and IMO E
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Re: ECONOMY CARS? (PRINCETON)

by Vemuri » Thu May 07, 2009 4:31 am
IMO E.

Lets assume there are 120 cars.
Economy cars are = 2/3*120 = 80
Rented cars = 4/5*120 = 96 (this also includes the 3/4 * 80 = 60 economy cars)

Not rented cars = 120-96 = 24
Not rented economy cars = 80-60 = 20

x% * 24 = 20 ==> x% = 20/24 ==> x% = 5/6 (i.e. 83.3%)
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by scoobydooby » Thu May 07, 2009 4:38 am
i get E as well.

becomes easier to visualize with a matrix.

let the total number of cars be 60 (5*4*2), so that we have easier integral numbers to work with

Rented cars=4/5*60=48
=>Non Rented cars=12
Eco cars= 2/3*60=40
=> Non Eco cars=20
Eco+Rented cars=3/4*40=30
=>Eco+Non Rent cars=40-30=10

or 10/12=83.3%, hence E
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