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Percentages

Percentages. Fractions. Decimal fractions. 100%. 1.00. 1. 10%. 0.1 0. 1 / 10. ÷2. ÷10. 50%. 0.5 0. 1 / 2. ÷3. 33 1 / 3 %. 0.33. 1 / 3. 1%. 0.01. 1 / 100. 25%. 0.25. 1 / 4. ÷100. ÷4. 20%. 0.2 0. 1 / 5. ÷5. 10% of £73. 10% of £126.50. 12% of £31. 68% of £144.50.

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Percentages

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  1. Percentages Fractions Decimal fractions 100% 1.00 1 10% 0.10 1/10 ÷2 ÷10 50% 0.50 1/2 ÷3 331/3% 0.33.. 1/3 1% 0.01 1/100 25% 0.25 1/4 ÷100 ÷4 20% 0.20 1/5 ÷5

  2. 10% of £73 10% of £126.50 12% of £31 68% of £144.50 25% of £64 25% of £134.40 17% of £32.40 21% of £34.40 30% of £24 90% of £108.90 47% of £74 93% of £165.40 1% of £247 7% of £304 9% of £24.37 8% of £3548 non-calculator calculator = 0.12 x 31 = £ 3.72 = 0.68 x 144.5 = £ 98.26 = £ 7.30 = £ 12.65 = 0.17 x 32.4 = 5.508 = £ 5.51 = 0.21 x 34.4 = 7.224 = £ 7.22 = £ 16 = £ 33.60 = 0.47 x 74 = £ 34.78 = 0.21 x 34.4 = 153.822 = £ 153.82 108.90 - 10.89 = £ 7.20 = £ 98.01 3.04 x 7 = 0.09 x 24.27 = £ 2.18 = 0.08 x 3548 = £ 283.84 = £ 2.47 = £ 21.28

  3. Interest is 3% p a. Calculate the interest on £450 for (i) 1 year (ii) 4 months Discount at 331/3% is offered on items in the Sale. Calculate the (i) discount (ii) sale price on an item priced at £ 56.40 Employees are offered a 8% raise. Jim earns £16 450 pa Calculate the (i) increase (ii) new salary earned Jim after the pay rise. VAT on fuel bills is charged at 5%. Calculate the VAT on a gas bill of £75.60. What is the total bill? VAT at 171/2% is charged on items in a clothing warehouse. Calculate the (i) VAT (ii) cost of item at £23.20 excluding VAT.

  4. Interest is 3% p a. Calculate the interest on £450 for (i) 1 year (ii) 4 months Interest = 3% of £450 for 1 year = 3 x 4.50 = £ 13.50 for 12 months 13.50 3 Interest = 12 ÷ 3= 4 = £ 4.50 for 4 months Discount at 331/3% is offered on items in the Sale. Calculate the (i) discount (ii) sale price on an item priced at £ 56.40 Discount = 331/3% of £56.40 = 56.40 ÷ 3 £ 56.40 - 18.80 sale price = £ 37.60 = £ 18.80

  5. Employees are offered a 8% raise. Jim earns £16 450 pa Calculate the (i) increase (ii) new salary earned Jim after the pay rise. increase = 12% of £ 16 450 for 1 year = 8 x 164.50 = £ 1316 16 450 1 316 So new salary is £ 17 766 VAT on fuel bills is charged at 5%. Calculate the VAT on a gas bill of £75.60. What is the total bill? VAT = 5% of £ 75.60 10% of £ 75.60 = 7.56 75.60 3.78 So total bill is £ 79.38 So 5% of £75.60 = £ 3.78

  6. VAT at 171/2% is charged on items in a clothing warehouse. Calculate the (i) VAT (ii) cost of item at £23.20 excluding VAT. VAT = 171/2 % of £ 23.20 on calculator = 0.175 x 23.20 10 % of £ 23.20 2.32 1.16 + 0.58 5 % of £ 23.20 21/2 % of £ 23.20 £ 4.06 So VAT = £ 4.06 without VAT 23.20 VAT = 4.06 So total bill is £ 27.26

  7. To calculate the new balances: Interest is 3.5% p a on £650. 103.5% After 1 year Balance = 1.035 x 650 After 2 yr = 1.035 x 1.035 x 650 = 1.0352x 650 After 3 yr = 1.035 x 1.035 x 1.035 x 650 = 1.0353x 650 After 4 yr = 1.0354x 650 = 745.8899504 After n years = 1.035nx 650 = 745.89 New bal after 4 years = 745.89 Original balance = 650.00 Compound interest = 95.89

  8. Appreciation / Depreciation increases in value decreases in value Painting, valued at £2500 in 1999, is now worth £5200. What is the percentage appreciation. New value = 5200 2700 Original value = 2500 appreciation = 2500 appreciation = 2700 = 1.08 = 108% of original value The painting appreciated in value by 108%

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