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Before a certain tire is used, 40 percent of its total

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Manager
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Before a certain tire is used, 40 percent of its total [#permalink] New post 28 Feb 2008, 04:58
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Before a certain tire is used, 40 percent of its total weight consists of tread. If during a
lifetime of use, 50 percent, by weight, of the tire’s tread is lost and no other parts of the
tire is lost, what per cent of the tire’s total remaining weight consists of the remaining
tread?

A. 55%
B. 20%
C. 25%
D. 30%
E. 35%

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Re: GMAT SET 31 math #7 [#permalink] New post 28 Feb 2008, 05:41
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C

Before a certain tire is used, 40 percent of its total weight consists of tread.
=> 100 = 60 + 40
If during a
lifetime of use, 50 percent, by weight, of the tire’s tread is lost and no other parts of the
tire is lost,=> 60 +20+0 (50% lost)

what per cent of the tire’s total remaining weight consists of the remaining
tread? =(20/80)*100

25%
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Re: GMAT SET 31 math #7 [#permalink] New post 28 Feb 2008, 05:49
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GGUY wrote:
Before a certain tire is used, 40 percent of its total weight consists of tread. If during a
lifetime of use, 50 percent, by weight, of the tire’s tread is lost and no other parts of the
tire is lost, what per cent of the tire’s total remaining weight consists of the remaining
tread?

A. 55%
B. 20%
C. 25%
D. 30%
E. 35%

OA will follow


Let's say a tire weighs 100lbs.

40% of 100 = 40 lbs dedicated to the tread.

a 50% reduction in the tread (by weight) would mean that there is 20lbs (40 / 2 = 20) left. The tire also now weighs 80lbs (100 - 20 = 80).

So if the tread left is 20lbs and the tire weight is now 80lbs, 20lbs / 80lbs = 0.25, or 25%.

Answer is C.
Re: GMAT SET 31 math #7   [#permalink] 28 Feb 2008, 05:49
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Before a certain tire is used, 40 percent of its total

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