a number is increased by 40% and then decreased by 40%. Find the net increase or decrease percentage
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Step-by-step explanation:
Let the number be 100.
Increase in the number=40%=40% of 100
=
100
40
×100=40
∴ increased number =100+40=140
This number is decreased by 40%
∴ decrease in number =40% of 140
=
100
40
×140
=
100
5600
=56
∴ new number =140−56=84
Thus, net decreases =100−84=16
Hence, net percentage decrease =
100
16
×100%
=
100
1600
%=16%
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