Question

A number is increased by 40% and then the increased number is decreased by 40%. Find the net increase or decrease percent.

Answer 1

Let x be the number.

When x is increased by 40% the final value would be x+40/100x=1.4x

When 1.4x is decreased by 40% then the final value would be 1.4x-40/100(1.4x)=0.84x

The net % would final-initial/initial×100

%=(0.84x-x/x)×100=-16
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That is there is a net decrease in 16%