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Percentages

Percentages. Level 8. Using the Decimal Multiplier to Find Percentages. Example: Find 12% of £54?. Decimal = 12% = 12 = 12 ÷ 100 = 0.12 multiplier 100. On calculator:. = 6.48 = £6.48. 0.12 x 54. Percentage Increase. Example: Increase £24 000 by 3%.

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Percentages

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  1. Percentages Level 8

  2. Using the Decimal Multiplier to Find Percentages. • Example: Find 12% of £54? Decimal = 12% = 12 = 12 ÷ 100 = 0.12 multiplier 100 On calculator: = 6.48 = £6.48 0.12 x 54

  3. Percentage Increase • Example: Increase £24 000 by 3% • 3% of 24 000 + 100% of 24 000 • 103% of 24 000 = 103 x 24 000 100 = 1.03 x 24 000 = £24 720

  4. Percentage Decrease • Example: Reduce £17.60 by 15% • 15% of £17.60 – answer from £17.60 • 100% of £17.60 – 15% 0f £17.60 • 85% of £17.60 (100% - 15% = 85%) = 0.85 x 17.60 = £14.96

  5. What do you…… • Multiply a quantity by if it increased by a) 6% b) 9% c) 17.5% d) 1.25% a) 1.06 b) 1.09 c) 1.175 d) 1.0125 • Multiply a quantity by if it is decreased by a) 6% b) 9% c) 17.5% d) 1.25% a) 0.94 b) 0.91 c) 0.825 d) 0.9875

  6. Finding the original amount • Example: John received a 20% increase in his annual salary. His new salary was £31 260. What was his salary before the rise? % increase – John’s original salary has been x 1.2 to get £31 260. x 1.2 Salary after rise £31 260 Salary before rise? ÷ 1.2 31 260 ÷ 1.2 = £26 050

  7. Finding the original amount • Example: There was a 25% discount in a sale. A boy paid £30 for a pair of jeans in the sale. What was the original price of the jeans? % decrease - £30 has been x 0.75 to get the reduced price. x 0.75 Price after Discount £30 Price before Discount? ÷ 0.75 30 ÷ 0.75 = £40

  8. Turn to page 188 • Complete exercise 6.1A and 6.1B • Start at question 3 • Show all your working out DON’T just write the answer. • You must complete both exercises before the end of the lesson • When you finish turn to page 189 and start exercise 6.2A. Complete all questions.

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