On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 30% 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) 14.3%
D) 22%
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.   30% of Y exceeded the speed limit but didn't received the ticket, i.e. 3Y/10.   it means 7Y/10 received the ticket.   hence, 7Y/10 = X/10   or Y/X=1/7   or Y/X * 100= 1/7 * 100= 14.3%   14.3%
<result>C</result>
On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 30% 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?