Problem Solving

RBBmba@2014 wrote:Isn't it safe to consider this 'integer' aspect ? It saves time,I think!

If we suspect that the correct answer choice must divide evenly into 594, and only one of the answer choices -- 66 -- divides evenly into 594, then we should test this answer choice first.
If we suspect that the correct answer choice must divide evenly into 568, and only one of the answer choices -- 71 -- divides evenly into 568, then we should test this answer choice first.
If we suspect that the correct answer choice must divide evenly into 91, and only two of the answer choices -- 7 and 13 -- divide evenly into 91, then we should test these two answer choices first.

RBBmba@2014 wrote: Thanks Matt for your reply.I actually went with this quadratic solving when I first encountered this problem but as I landed up with this *bad equation* I wanted to see other way to tackle this..

Yeah, you definitely do NOT want to do it that way

Trick: Since the no. of motorcycles is a whole number, the correct answer choice has to be a factor of the total revenue of $594,000.

If you glance through the 5 answer options, they are in two digits. Now the prime factors for 594,000 are 2,3,5,11. Keeping in mind that the answer options are in two digit try to quickly multiply these prime factors to get to any of the answer options. A 2,3,11 give us 66.

So $594,000 can be written as $9000 * 66 (the correct answer is probably option C)

To verify: $8000 (earlier price of bike) * 71 (no. of motorcycles sold earlier) = $568000

Since it is given that (new revenue - old revenue = 26000) we have verified that New revenue - old revenue = 549000 - 568000 = 26000.

No other combination can fulfill the equations as then there will be two correct answers. Therefore the correct answer is option C.