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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.