A motorcycle importer is planning on increasing the price of a certain

Hi Bunuel,

Please help me with the solution.

A short hand technique if you want to avoid lengthy calculations and solve it under 2 mins -

Let number of vehicles be n and price be p then,

\(np = 594000 - 26000 = 568000\) --- (1)
\((n-5)(p + 1000) = 594000\) --- (2)

We are asked to solve for n-5...

Before solving, just glance at the first equation and answer choices. Do you see any pattern or an easy calculation here?

568000 => This seems to be a multiple of 8 - ( 8x7=56 and 8x1=8) which gives me factors 71 and 8000. Other hint here being that 71 is a prime number making it an obvious factor here as per the given options.

Now if I double check the answer choices, I see both 71 and 66 (71 - 5), which means that one of those is a trap answer and I need to read the question correctly which in this case is asking for motorcycles sold after price upgrade which is n-5 = 66.

If you want, you can validate the answer from (2) (66 * 9000 = 594000) but even if you don't have sufficient time to check, there's a high chance you would now correctly guess the answer with minimal calculations.

Answer: C