A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 8 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?  Choose the correct choice from the following answers
A) 61
B) 62
C) 65
D) 63
E) 64
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-8) = 594000   (568/x + 1)(x-8) = 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 - 8= 
<gadget id="calculator"> 71 - 8</gadget>
<output>63</output>
63 bikes this month   Answer (63)
<result>D</result>
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 8 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?