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Car X gets 25 percent more miles per gallon of gasoline than

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Car X gets 25 percent more miles per gallon of gasoline than [#permalink] New post 05 Sep 2005, 14:55
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A
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C
D
E

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Car X gets 25 percent more miles per gallon of gasoline than Car Y does. However, Car X requires premium gasoline that costs 10 percent more than regular gasoline used by Car Y. If the two cars are driven equal distances, what percent less than the money spent on gasoline for Car Y is the money spent on gasoline for Car X?

A) 22.5%
B) 17.5%
C) 15%
D) 12%
E) 10%
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 [#permalink] New post 05 Sep 2005, 15:30
Plugging easy numbers (doesn't matter if they're realistic or not):

Car Y gets 100 miles per gallon. Car X gets 25% more or 125 miles per gallon. A gallon costs $1.00. So if they both drive 100 miles, car Y spends $1.00 and car X spends (100/125) or 0.8 x ($1.00x1.1) = 0.8 x $1.10 = $0.88.

$0.88 is 12% less than $1.00. So the answer would be D) 12%.
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 [#permalink] New post 05 Sep 2005, 15:30
Answer D =>

Assuming mileage:

X car - 20 miles/gallon [25% more than Y]
Y car - 16 miles/gallon

and also Premium is 10% more than regular - assuming regular = $2.00 , premium is %2.20.

Cost of gasoline per car [assuming equal distance driven - 160 miles]:

X - 160/20 = 8 gallons @ $2.20 = $17.60
Y - 160/16 = 10 gallons @ $2.00 = $20.00

From this we get => 20.00-17.60 = 2.40 => 2.40/20.00 = %12 savings, hence answer D.
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 [#permalink] New post 05 Sep 2005, 15:32
plugging in is also a nice way of doing it. probably faster than my solution, nice work.
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 [#permalink] New post 05 Sep 2005, 15:33
Logic was the same in both our solutions. You just picked realistic numbers and I picked easy unrealistic ones. (I wish gasoline cost $1.00 a gallon!)
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 [#permalink] New post 05 Sep 2005, 15:36
you got that right, i wish my car was giving me 100 miles per gallon. :-D
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 [#permalink] New post 05 Sep 2005, 15:41
Hehe... smart car time :-D :-D :-D

Anyway I guess I wasn't thinking too hard about the numbers themselves because I think of gas prices in litres, not gallons, and consumption in kilometers, not miles. The theory's the same though.
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 [#permalink] New post 05 Sep 2005, 16:11
D it is!
Yes, plugging in numbers makes it simpler to solve. Thanks!
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 [#permalink] New post 07 Sep 2005, 03:23
You can also have x use 8 gallons and y use 10 gallons 25% difference. Then have gas cost $10 so x spens $88 and y spends $100
The difference is $12 so 12%
  [#permalink] 07 Sep 2005, 03:23
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