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Comprehensive Guide to Percentages, Fractions, and Decimal Calculations in Real Life

This guide explores the essential concepts of percentages, fractions, and decimals, providing clear examples of their practical applications. You'll learn how to calculate percentages of various amounts, understand fractions in decimal form, and perform essential operations without a calculator. Real-world scenarios include calculating discounts, interest rates, and tax implications on bills. You'll also find easy-to-follow steps for calculating raises and total costs, making this an invaluable resource for students and professionals alike.

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Comprehensive Guide to Percentages, Fractions, and Decimal Calculations in Real Life

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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

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