A number is increased by 20% and the increased number is decreased by 20%. find the net increased or decreased percent
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Take a number x
Now increase this number by 20 %
X + 20 X/ 100
= 120x / 100
So the new number formed is 120x / 100
Now it is decreased by 20%
So the new number will be
120x/100 - (20/100)(120x/100)
Now open the bracket and you will get
120x/100 - 24x / 100
Which is equal to 96 x / 100
Now this new number is less than the original number which we had taken , so the net decrease % ={[ x-(96x/100)]/ X } x 100
Which will be equal to 4 %
So the answer to your question is 4 percent..
Hope it was helpful to you, if yes then please thank this answer and mark this answer as brainiest answer if you understood
Now increase this number by 20 %
X + 20 X/ 100
= 120x / 100
So the new number formed is 120x / 100
Now it is decreased by 20%
So the new number will be
120x/100 - (20/100)(120x/100)
Now open the bracket and you will get
120x/100 - 24x / 100
Which is equal to 96 x / 100
Now this new number is less than the original number which we had taken , so the net decrease % ={[ x-(96x/100)]/ X } x 100
Which will be equal to 4 %
So the answer to your question is 4 percent..
Hope it was helpful to you, if yes then please thank this answer and mark this answer as brainiest answer if you understood
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