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Before a certain tire is used, 40% of its total weight

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Before a certain tire is used, 40% of its total weight [#permalink] New post 11 May 2008, 05:19
Before a certain tire is used, 40% of its total weight consists of tread. If during a lifetime of use, 50%, 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 remaning tread?

a) 55%
b)20%
c) 25%
d) 30%
e)35%
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Re: tire [#permalink] New post 11 May 2008, 05:35
Say tire weight at the starting is = 100
So tread weight is = 100*40/100 = 40
Weight of tire without tread = 100-40=60

After weight loss tread weight is = 40*50/100 = 20

Remaining weight of tire = 60+20 = 80

Percentage = 20*100/80 = 25

Answer C.
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Re: tire [#permalink] New post 11 May 2008, 05:47
C for me as well. Easiest approach is to pick numbers. I assumed weight at start was 10 lbs; this means 4 lbs of tread and 6 lbs of the tire itself.

50% of tread is lost, i.e. 2 lbs. This leaves 2 lbs of tread and a total of 8 lbs. 2/8=25%
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Re: tire [#permalink] New post 11 May 2008, 07:45
i get C as well..

suppose 100 is the weight..40 is the tread..50% is lost of the 40..20 is left

new total weight is 80..weight of tread is 20

20/80*100=25%
Re: tire   [#permalink] 11 May 2008, 07:45
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Before a certain tire is used, 40% of its total weight

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