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Reverse Percentages Finding the original price after deduction or increase Let’s do the first one together: A radio sells for £63, after a 40% increase in the cost price. Find the cost price.

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Reverse Percentages A radio sells for £63, after a 40% increase in the cost price. Find the cost price. The selling price is 100% + 40%, so £63 = 140%. Calculate 1% 140% = £63 1% = £63/140 1% = £0.45 The cost price is 100%, so multiply £0.45 by 100 Cost price = 0.45 x 100 = £45

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Another example A packet of washing powder is advertised as having '20% extra powder'. If it contains 1.32kg. What would the original pack contain? 1.02kg? 1.1kg? 1.06kg? 1kg?

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Another example A new car falls in value by 30% in a year. After a year, it is worth £8,400. Find the price of the car when it was new. Remember that the original price of the car is 100%. Original price = 100%. Second-hand price = 100% - 30% = 70%. So £8,400 = 70% of the original price. So 1% of original price = £8,400 ÷ 70 Original price = 100% = 100 x 1% = 100 x (£8,400 ÷ 70) = £12,000.

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Footballers £ listing The Association of Football has decided to re-price some of their footballers depending on their previous performance. Here are some of the new prices and their percentage increase or decrease: Ronaldo 113.4m INCREASE 40% Messi 160m DECREASE 20% Di Maria 71.88m INCREASE 19.8% Van Persie 18.75m DECREASE 25% Neymar 57.5m INCREASE 9.8% Falcao 40m INCREASE 5% Can you work out any 3-6 players’ original prices before the re-pricing?

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Lesson Objective By the end of the lesson you should be able to work out repeated percentage increases or decreases.

Lesson Objective By the end of the lesson you should be able to work out repeated percentage increases or decreases.

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