Question

When a number is first increased by 10% and then reduced by 10%, the number:?

Answer 1

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 %.

Answer 2

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 %

Hope that this answer will help you ✔️✔️