Question

5. Manoj's income increased by 2017, and then decreased by 20%. What is the total percentage chang
Manej's income
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Answer 1

Question :

Manoj's income increased by 20 % , and then decreased by 20%. What is the total percentage change Manoj's income ?

Answer :

Let manoj's income be ' x '

Increased income :

=> x + 20x / 100 ( 20 % / 100 )

=> 100x + 20x / 100

=> 120x / 100

=> 6x / 5.

Decreased income :

☞ It is decreased from the increased amount.

=> 6x / 5 - ( 20 / 100 ) × 6x / 5

=> 6x / 5 ( 1 - 1 / 5 )

=> 24x / 25.

Change in Income :

=> x - 24x / 25

=> 25x - 24x / 25

=> 1x / 25

=> x / 25.

Percentage of change :

=> x / 25 × 100

=> 100x / 25

=> $\sf\large\underline\blue{4x}$

Percentage change = 4 %.