On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 40% 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?	Answers
A) 10.5% B) 12.5% C) 16.7% D) 25% E) 30%
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.   40% of Y exceeded the speed limit but didn't received the ticket, i.e. 2Y/5.   it means 3Y/5 received the ticket.   hence, 3Y/5 = X/10   or Y/X=1/6   or Y/X * 100= 1/6 * 100= 16.7%   16.7%
<result>C</result>
On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 40% 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?