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?
Choose the correct choice from the following.
A) 10.5% B) 12.5% C) 15% 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.   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= 
<gadget id="calculator">1/8 * 100</gadget>
<output>25/2 = around 12.5</output>
12.5%   ANSWER:12.5%
<result>B</result>
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?