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# On a certain road, 10% of the motorists exceed the posted

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Director
Joined: 15 Aug 2005
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On a certain road, 10% of the motorists exceed the posted [#permalink]

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03 Sep 2005, 06:12
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Difficulty:

55% (hard)

Question Stats:

63% (02:35) correct 37% (01:33) wrong based on 138 sessions

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On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?

A. 10.5%
B. 12.5%
C. 15%
D. 22%
E. 30%

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-a-certain-road-10-of-the-motorists-exceed-the-posted-spe-95947.html
[Reveal] Spoiler: OA

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Cheers, Rahul.

Intern
Joined: 16 Aug 2005
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03 Sep 2005, 10:19
suppose there are X motorists.

10% of them exceeded the speed limit and received the ticket, i.e. X/10.

Again, suppose total no. of motorists who exceeded the speed limit are Y.

20% of Y exceeded the speed limit but didn't received the ticket, i.e. Y/5.

it means 4Y/5 received the ticket.

hence, 4Y/5 = X/10

or Y/X=1/8

or Y/X * 100= 1/8 * 100= 12.5%
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03 Sep 2005, 11:47
12.5....it is..

so 0.1x=0.8y where x is total no. of driver...y is no speeders...

y/x=1/8*100=12.5%
Director
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Re: On a certain road, 10% of the motorists exceed the posted [#permalink]

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22 Jan 2013, 05:31
is this an overlapping set question, so we can use a table approach to solve this one? Detailed explanations would be helpful!
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Re: On a certain road, 10% of the motorists exceed the posted [#permalink]

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22 Jan 2013, 06:17
fozzzy wrote:
is this an overlapping set question, so we can use a table approach to solve this one? Detailed explanations would be helpful!

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-a-certain-road-10-of-the-motorists-exceed-the-posted-spe-95947.html
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Re: On a certain road, 10% of the motorists exceed the posted   [#permalink] 22 Jan 2013, 06:17
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