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Question

A number is increased by 10% and then it is decreased by 10%. Find the net increase or decrease percent

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Solution

Let the required number be 100.

Then, according to the question.

⇒ Firstly, the number is increased by 10 %

⇒ 100 + (100×10)/100

⇒ 100 + 10

= 110

Secondly, it is decreased by 10 %

⇒ 110 - (110×10)/100

⇒ 110 - 11

⇒ 99

Net increase or decrease percentage

= (Original Number - New Number)×100/100

⇒ (100 - 99)×100/100

⇒ (1×100)/100

⇒ 100/100

= 1 %

So, net decrease is 1 %.



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