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? ... BUT - 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 original amount 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? Answer: Actual change (an increase) = £2 Percentage increase = 2 x 100 = 2 ÷ 10 X 100 = 0.2 x 100 = 20% 10 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? Answer: Actual change (a decrease) = £2 Percentage decrease = 2 x 100 = 2 ÷ 10 X 100 = 0.2 x 100 = 20% 10 Liana gets a 20% DECREASE in her pocket money. |