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Economics

Calculation of percentages and percentage changes, including interest on savings

Calculating percentages

Simple interest on savings

Percent literally means out of 100. 25% means 25 out of 100 or written another way 25/100.

To calculate a percentage of a number use the formula: number x percentage ÷ 100

e.g. To calculate 10% interest on £500

Interest = £500 x 10 ÷ 100 = £50





Percentage increase or decrease

To calculate a percentage increase or decrease use the formula: percentage change = (new value - old value) ÷ old value x 100

e.g. Consider a firm sees that last year they paid £100000 in wages and this year they paid £110000

percentage change = (£110000 - £100000) ÷ £100000 x 100 = 10% increase

To calculate a percentage decrease use the same formula and the sign of the answer signifies whether it is a percentage increase or decrease.

e.g. Last month Charlie earned £30 for walking his Mother's Corgis. This month he only earned £20.

percentage change = (£20 - £30) ÷ £30 x 100 = 33.3% increase





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