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 Â½ % (B) 12 1/2% (C) 15% (D) 22% (E) 30%
Kindly Explain the Ans
10% of motorists = ticketed speeders = 80% of all speeders. 10 = 80/100 x T.............T is total percent of speeders.
Solving for T you get 12.5%