A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 9 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price
Select:
A) 70
B) 68
C) 66
D) 64
E) 62
Responding to a pm: To solve this question, I will make an equation in x and then make educated guesses. Here's how:   Assuming x motorcycles were sold every month initially.   (568000/x + 1000)(x-9) = 594000   (568/x + 1)(x-9) = 594   Now 568 = 8*71   Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.   We get  9*66= 
<gadget id="calculator"> 9*66</gadget>
<output>594</output>
594 (matches)   So he will sell  71 - 9= 
<gadget id="calculator"> 71 - 9</gadget>
<output>62</output>
62 bikes this month   Answer (62)
<result>E</result>
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 9 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price