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# On a certain road 10 percent of the motorists exceed the

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Manager
Joined: 17 Jan 2006
Posts: 92
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On a certain road 10 percent of the motorists exceed the [#permalink]  30 Oct 2006, 18:09
On a certain road 10 percent of the motorists exceed the posted speed limit and receive speeding tickets, but 20 percent of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?

(A) 10.5%

(B) 12.5%

(C) 15%

(D) 22%

(E) 30%
Manager
Joined: 01 Apr 2006
Posts: 98
Followers: 2

Kudos [?]: 6 [0], given: 0

Re: speeding tickets [#permalink]  30 Oct 2006, 19:58
dinesh8 wrote:
On a certain road 10 percent of the motorists exceed the posted speed limit and receive speeding tickets, but 20 percent of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?

(A) 10.5%

(B) 12.5%

(C) 15%

(D) 22%

(E) 30%

20% exceed and get a ticket, so 80% speed and dont get a ticket

let x = total motorists. 10% of which speed and get tickets

so 80% of x= 10% or .8x=.10 or 80x=10

x=10/80 = .125 or B) 12.5%

Re: speeding tickets   [#permalink] 30 Oct 2006, 19:58
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