# A Number Is Increased By 20% And The Increased Number Is Decreased By 20%.Find The Increase Or Decrease Percent.

Let the number be =100

Increase in the number = 20% of 100

= $$\frac{20}{100} * 100$$

= 20

Increased number = 100 + 20 = 120

The resulting number decreased by 20%

Decrease in the number

= $$\frac{20}{120} * 120$$

= 24

New number = 120 – 24 = 96

The net decrease = 100 – 96

Net % decrease = \frac{Net decrease}{Original Number} * 100 \)

= $$\frac{4}{100} * 100$$

= 4%

Hence the net percent decrease is 4%.

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