The Lightning laser printer prints 35% more pages per minute than the Reliable laser printer. What percentage less time than the Reliable will the Lightning require for long print jobs?
Round your final answer properly in % to two decimal places.
The Lightning laser printer prints 35% more pages per minute than the Reliable laser printer.
If the Reliable laser printer prints x pages in a given period of time, the Lightning laser printer prints x*(1+0.35) = 1.35*x in the same time.
The time taken by the Lightning printer to complete a job that the Reliable laser printer takes x hours is `x/1.35` hours.
The saving in time is equal to `(100*(x - x/1.35))/x` = 25.9%
Let the no. of pages printed by Reliable laser printer in 1 min. be 100.
So, the no. of pages printed by Lightning laser printer in 1 min.= 135
Time taken by Lightning laser printer to print 135 pages = 1 min.
Hence, time taken by it to print 100 pages=`100/135` =0.740741 min.
Less time taken by the Lightning laser printer than the Reliable laser printer=(1-0.740741)=0.259259 min.
Therefore, percentage less time taken by the Lightning laser printer than the Reliable laser printer = 25.9259`~~` 25.93
Answer- 25.93 % less time will be required by the Lightning laser printer.