A number is increased by 10% and then reduced by 10%, then the number

doesn't change

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decreases by 1%

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increases by 1%

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none of these

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Solution

The correct option is B decreases by 1%
Let the number be 100
when increased by 10% number will be
$= 100 + \frac{10}{100} \times 100 = 110$
when decreased by 10%
$= 110 - \frac{10}{100} \times 110 = 99$
Decrease in original value is (100-99)=1
Percentage decrease is $\frac{1}{100} \times 100 = 1$
There will be 1 percent decrease

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. What is the effective increase or decrease in the original number?

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A number is increased by 10% and then reduced by 10%, then the number

The correct option is B decreases by 1%Let the number be 100when increased by 10% number will be=100+10100×100=110when decreased by 10%=110−10100×110=99Decrease in original value is (100-99)=1Percentage decrease is1100×100=1There will be 1 percent decrease