A number is first decreased by 18% and the resulting number is then increased by 25%. What is the overall percentage change in the original number?

Correct option is C

Given:
Number is first decreased by 18%
Then number is increased by 25%
Solution:
Let the number be 100
Number after decrement becomes:
100- 18% of 100
=82
After increasing 25% it will become:
82+ 25% of 82
=82+20.5 =102.5
Increase in number = 102.5-100 = 2.5
Percentage increase = $$\frac{2.5}{100} × 100$$​ = 2.5%
Alternate method:
Successive change = $$x + y + \frac{xy}{100}$$​​
-18 +25 + $$\frac{(-18)(25)}{100}$$_​
7-4.5=2.5%