Question

A number is increased by 20% and the increased number is decreased by 20% . Find the net change percent ?
PLEASE SOLVE WITH STEP BY STEP EXPLANATION ​

Answer 1

Step-by-step explanation:

Let x be the number

The number after being increased by 20% =x+

100

20

×x.

=x+

5

1

x

=

5

5x+x

=

5

6x

The new number decreased by 20 % =

5

6x

−

100

20

×

5

6

x

=

5

6x

−

5

1

5

6

x

=

5

6x

−

25

6x

=

25

30x−6x

=

25

24x

∴ the new number

25.

24x

decreased in percentage=

x

x−

25

24

×100%

=

25x

25x−24x

×100 %

=

25x

x

×100% = 40%