Question

a number is first increased by 20 Percent and the resulting number is than decreased by 10 percent find the overall change in the number as percent

Answer 1

Let the number be x.

STEP-1 :-
number is x+(20% of x) = 6x/5

STEP-2 :-
number is 6x/5 - (10% of 6x/5) = 54x/50

That is 54/50 % change = 1.08% change in the number

Answer 2

Overall change = 8% Increase

Step-by-step explanation:

Let's assume that,

• The number is = 100

• 20% of this number will be = 20

$100 \times \frac{20}{100} = 20$

New number = Initial umber + percentage increase

• => 100+20=120

Then it decreases by 10%

$100 \times \frac{10}{120} = 12$

• Final number = 120-12=108

This number is 8 more than our assumed number, so now we have to calculate the how much 8 is in % of 100.

$100 \times \frac{8}{100} = 8\%$

The answer for this question is total increase of 8%.