A number is increased by 20% of its value. By what percentage should the number now be decreased so that it gets its original value?

Given: A number is increased by 20% of its value

To find: By what percentage should the number now be decreased so that it gets its original value

Solution:

Let the original number be 100.

Percentage increase in value = 20%

Increase in its value = 20% of 100 = $\frac{20}{100} \times 100 = 20$

So new value of number after 20% increase = 100 + 20 = 120

Now to get back to the original value 100, the number 120 should be decreased by 120 - 100 = 20

Percentage decrease in value = $\frac{decrease}{120} \times 100$

                                                      = $\frac{20}{120} \times 100 = 16.67% $ Answer

So the number should be decreased by 16.67% to get back to the original value.

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Updated on: 10-Oct-2022

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