A number is increased by 40% and then the increased number is decreased by 40%. Find the net increase or decrease percent.


Answer:

16%

Step by Step Explanation:
  1. Let the number be x.

    We are given that a number is increased by 40%.

    So, increased percentage = (100+40)% = 140%

    Then,  Increased number = 140% of x=(140100ร—x)=75x Now, the number is decreased by 40%. So, the decreased number will be (100โˆ’40)% = 60% of the increased number.  Decreased number = 60% of 75x=(60100ร—75x)=420500xโˆด Net decrease = Original Number - Decreased Number =(xโˆ’420500x)=80500x
  2. Therefore,  Net decrease %= Net decrease  Original number ร—100%=(80x500รทxร—100)%=(80x500ร—1xร—100)%=16% Hence, the net decrease is 16%.

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