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=(140100×x)=75x Now, the number is decreased by 40%. So, the decreased number will be (10040)% = 60% of the increased number.  Decreased number = 60% of 75x=(60100×75x)=420500x
  2. Therefore, \begin{aligned} \text{ Net decrease }\% =& \dfrac { \text{ Net decrease } } { \text{ Original number } } \times 100\% \\ =& \bigg( \dfrac { 80 x } { 500 } \div { x } \times 100 \bigg)\% \\ = & \bigg( \dfrac { 80 x } { 500 } \times \dfrac { 1 } { x } \times 100 \bigg)\% = 16\% \end{aligned} Hence, the net decrease is 16\%.

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