Question

14. A number is first increased by 20% and then decreased by 20%. Find the net increase or decrease per cent.
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Answer 1

Answer:

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Explanation:

Let the number be =100

Increase in the number =20% of 100

=

100

20

×100

=20

Increased number =100+20

=120

The resulting number decreased by 20%

Decrease in the number =

120

20

×120

=24

New number =120−24

=96

Now, net decrease =100−96

Net % decrease =

Original number

Net decrease

×100

=

100

4

×100

=4%

Hence the net percent decrease is 4%.