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

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Before a certain tire is used, 40 percent of its total weight consists  [#permalink]

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New post 29 Oct 2016, 11:42
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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. 20%
B. 25%
C. 30%
D. 35%
E. 55%

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Re: Before a certain tire is used, 40 percent of its total weight consists  [#permalink]

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New post 29 Oct 2016, 11:56
Bunuel 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. 20%
B. 25%
C. 30%
D. 35%
E. 55%

Tread comprises =40%
lost %0% of 40%=20% of tire weight
Remaining weight of tire=100-20=80%
Tread remaining = 40%-20%=20%
thus per cent(let A) of the tire’s total remaining weight consists of the remaining tread=
20%=A% of 80%
A=2000/80=25%

Ans B
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Re: Before a certain tire is used, 40 percent of its total weight consists  [#permalink]

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New post 29 Oct 2016, 12:29
Let's use weights for this example:

If total weight of all components of tire is 100g, then 40g will be tread and 60g will be the remaining components.

50% of total weight of tread is lost so, in our example, 20g of tread are lost and 20g of tread remain.

Our total is now 80g (since we lost 20g), so 20g of tread that remains divided by 80g total is 20/80 or 25%.

B.

Hope this makes sense!
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Re: Before a certain tire is used, 40 percent of its total weight consists  [#permalink]

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New post 30 Oct 2016, 02:55
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Bunuel 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. 20%
B. 25%
C. 30%
D. 35%
E. 55%
Attachment:
Capture.PNG
Capture.PNG [ 2.66 KiB | Viewed 1075 times ]

Percentage of tread to total remaining weight of the tire = 20/80*100 =25%

Hence answer will be (B) 25%

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Re: Before a certain tire is used, 40 percent of its total weight consists  [#permalink]

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New post 20 Dec 2018, 14:28
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Before a certain tire is used, 40 percent of its total weight consists   [#permalink] 20 Dec 2018, 14:28
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