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

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 ​

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Audrey 1 month 2021-10-27T03:06:43+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-27T03:07:47+00:00

    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%

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