A number is increased by 20% and the increased number is decreased by 20%. Find the net increase or decrease per cent.
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Step-by-step explanation:
Let the number be =100
Increase in the number = 20% of 100
=
20
100
∗
100
= 20
Increased number = 100 + 20 = 120
The resulting number decreased by 20%
Decrease in the number
=
20
120
∗
120
= 24
New number = 120 – 24 = 96
The net decrease = 100 – 96
Net % decrease = \frac{Net decrease}{Original Number} * 100 \)
=
4
100
∗
100
= 4%
Hence the net percent decrease is 4%.
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