Question

a number is first increased by 20% and then decreased by 15%. find the net increase or decrease percent.

Answer 1

Let the number be 100.

Given that it's increased by 20%.

20% of 100 = 20/100 * 100

                    = 20.


Therefore 100 + 20 = 120.

Given that the number is decreased by 15%.

15% of 120 = 15/100 * 120

                   = 18.

120 - 18 = 102.

Therefore the decrease in number = 102 - 100

                                                           = 2.


Therefore the increase in percentage = 2%.

Hope this helps!

Answer 2

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• Let the Number be 100.

➟ 100 × (100 + 20)% × (100 - 15)%

➟ 100 × 120% × 85%

➟ 100 × $\large\tt{\frac{120}{100}}$ × $\large\tt{\frac{85}{100}}$

➟ 100 × $\large\tt{\frac{12}{10}}$× $\large\tt{\frac{17}{20}}$

➟ 10 × 12 × $\large\tt{\frac{17}{20}}$

➟ 102%

2% increase