Question

A number is first increased by 20% and the resulting number is then decreased by 10%. Find the overall change in the number as percent.​

Answer 1

Answer:

Step-by-step explanation:

Let the number be x

First number =  

100

120

​

x

Second number =  

100

90

​

×  

100

120

​

x=1.08x

So, overall change in the number    

x

1.08x−x

​

×100=0.8×100=8 % increase.

Answer 2

A number is first increased by 20% and the resulting number is then decreased by 10%. Find the overall change in the number as percent.

= 110%