Hi. There are loads of problems about percentage change! A change is either an increase or a decrease and the wording varies such as ...
percentage increase? percentage decrease? percentage discount? percentage payrise? percentage improvement in marks? percentage profit? percentage loss? ...
- they all mean a PERCENTAGE CHANGE,
- and they are all worked out in the SAME WAY!
- So learn this method once and gets all percentage change questions correct in the future!
Method for Calculating Any Percentage Change:
%age change = actual change x 100
Example of a Percentage Increase:
Sarah gets £10 a week pocket money. Her parents decide to give her £12 a week. What is the percentage increase in Sarah's pocket money?
Actual change (an increase) = £2
Percentage increase = 2 x 100 = 2 ÷ 10 X 100 = 0.2 x 100 = 20%
Sarah gets a 20% INCREASE in her pocket money.
Example of a Percentage Decrease:
Liana gets £10 a week pocket money. Her parents decide to reduce it to £8 a week. What is the percentage decrease in Liana's pocket money?
Actual change (a decrease) = £2
Percentage decrease = 2 x 100 = 2 ÷ 10 X 100 = 0.2 x 100 = 20%
Liana gets a 20% DECREASE in her pocket money.