Question 68

The percentage change of a number when it is first decreased by 10% and then increased by 10% is

Solution

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Let the number be 100.
Decreased number = 90% of 100 = 90.
Increased number = 110% of 90 = 99.
Percentage change = $$\dfrac{100-99}{100}\times100 = 1\%$$.

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