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Learn how to calculate percentages for increase, decrease, appreciation, and depreciation. Examples and explanations provided.
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Write the following as a fraction & a decimal :- • 32% b. 63% c. 81% • 2. Calculate the following :- • a. 4% of £12 b. 18% of £8.50 c. 45% of £80 Starter Questions 22/02/11
22/02/11 Calculating Percentages Learning Intention • To be able to calculate % increase and decrease. • To be able to calculate appreciation and depreciation.
22/02/11 Calculating Percentages % Increase/Decrease Example The cost of a yearly train ticket has increased by 5%. What is the new price if it currently costs £240 ? Increase = 5% of £240 = 5 ÷ 100 x £240 = £12 New cost = £240 + £12 = £252
22/02/11 Calculating Percentages Appreciation & Depreciation Appreciation / Depreciation Appreciation : Going up in value e.g. House value Depreciation : Going down in value e.g. car value
22/02/11 Calculating Percentages Appreciation & Depreciation Average house price in Dunfermline has appreciated by 50% over the past 10 years. If you bought the house for £80 000 in 2001 how much would the house be worth now ? Appreciation = 50% x £ 80 000 • = 0.50 x £80 000 = £ 40 000 New value = Old Value + Appreciation = £ 80 000 + £40 000 = £ 120 000
22/02/11 Calculating Percentages Appreciation & Depreciation A second hand car depreciated by 10% in the 1st year and by 20 % in the 2nd Year after buying it. If its initial value was £1 000, what is its value now ? 1st Year Depreciation = 10% x £ 1 000 • = 0.1 x £ 1 000 = £100 New Value = £ 1 000 - £ 100 = £ 900 2nd Year Depreciation = 20% x £ 900 = 0.2 x £ 900 = £ 180 New Value = £ 900 - £ 180 = £ 720
22/02/11 Calculating Percentages Learning Intention • To be able to calculate % increase and decrease. • To be able to calculate appreciation and depreciation.