Percentage and Business Worksheet
Free to print and use in your classroom. No sign-up required.
Percentage and Business Worksheet
Use your knowledge of percentages to answer these business and finance questions. Show your working clearly.
1. A business buys a product for £40 and sells it for £56. Calculate the percentage profit.
2. A shop buys trainers for £75 and sells them for £60 in a clearance sale. Calculate the percentage loss.
3. A salesperson earns 8% commission on £4,500 of sales. How much commission do they earn?
4. An estate agent charges 1.5% commission on the sale of a house. The house sells for £285,000. How much commission does the estate agent earn?
5. A retailer buys a desk for £120 and applies a 45% markup. What is the selling price?
6. A product sells for £92 including a 15% markup on cost. What was the cost price?
7. In a local market for smartphones, Company A has sales of £3.6 million and the total market is worth £18 million. What is Company A's market share as a percentage?
8. A company's revenue was £240,000 in year 1 and £276,000 in year 2. Calculate the percentage increase in revenue.
9. A company's profit fell from £85,000 to £68,000. Calculate the percentage decrease in profit.
10. A plumber charges £340 for a job, excluding VAT. VAT is charged at 20%. What is the total amount the customer pays?
11. A receipt shows a total of £156 including VAT at 20%. What was the price before VAT?
12. A business starts the year with 150 members of staff. During the year 24 employees leave and are not replaced. What is the staff turnover rate as a percentage?
13. A business has an annual budget of £80,000. 35% is allocated to wages. How much is spent on wages?
14. A business's budget of £120,000 allocates 40% to marketing, 30% to salaries, and 15% to rent. How much of the budget remains unallocated?
15. A business has fixed costs of £15,000 per month and variable costs of £12 per unit. It sells each unit for £20. How many units must it sell to break even? What percentage of a target of 2,500 units does the break-even quantity represent?
16. A business's energy costs increased from £6,400 to £8,320 per year. Calculate the percentage increase in energy costs.
17. A company sells 4,000 units at £15 each. Its total costs are £48,000. Express the profit as a percentage of the revenue (profit margin).
18. A business raises its prices by 12% due to increased costs. A customer used to pay £250 per month for services. What will they pay after the increase?
19. A company buys raw materials for £54,000. Due to a new supplier deal, costs fall by 18%. How much does the company save, and what are the new costs?
20. A salesperson's monthly sales target is £25,000. In January they achieved £21,500. What percentage of their target did they reach? By what percentage did they miss the target?
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Worked Answers
1. 40% profit
Profit = £56 − £40 = £16. % profit = 16 ÷ 40 × 100 = 40%
2. 20% loss
Loss = £75 − £60 = £15. % loss = 15 ÷ 75 × 100 = 20%
3. £360
8% of £4,500 = 0.08 × 4,500 = £360
4. £4,275
1.5% of £285,000 = 0.015 × 285,000 = £4,275
5. £174
£120 × 1.45 = £174
6. £80
Cost price = £92 ÷ 1.15 = £80
7. 20%
3.6 ÷ 18 × 100 = 20%
8. 15% increase
Change = £276,000 − £240,000 = £36,000. % change = 36,000 ÷ 240,000 × 100 = 15%
9. 20% decrease
Change = £85,000 − £68,000 = £17,000. % change = 17,000 ÷ 85,000 × 100 = 20%
10. £408
VAT = 20% of £340 = £68. Total = £340 + £68 = £408
11. £130
£156 ÷ 1.20 = £130
12. 16%
Staff turnover = 24 ÷ 150 × 100 = 16%
13. £28,000
35% of £80,000 = 0.35 × 80,000 = £28,000
14. £18,000 unallocated
Allocated = 40% + 30% + 15% = 85%. Remaining = 15% of £120,000 = £18,000
15. Break-even = 1,875 units; 75% of target
Contribution per unit = £20 − £12 = £8. Break-even = £15,000 ÷ £8 = 1,875 units. Percentage of target = 1,875 ÷ 2,500 × 100 = 75%
16. 30% increase
Change = £8,320 − £6,400 = £1,920. % change = 1,920 ÷ 6,400 × 100 = 30%
17. 20% profit margin
Revenue = 4,000 × £15 = £60,000. Profit = £60,000 − £48,000 = £12,000. Profit margin = 12,000 ÷ 60,000 × 100 = 20%
18. £280
£250 × 1.12 = £280
19. Saving: £9,720; New cost: £44,280
Saving = 18% of £54,000 = 0.18 × 54,000 = £9,720. New cost = £54,000 − £9,720 = £44,280
20. Achieved 86% of target; missed by 14%
% achieved = 21,500 ÷ 25,000 × 100 = 86%. % missed = 100% − 86% = 14%. Alternatively: shortfall = £3,500; 3,500 ÷ 25,000 × 100 = 14%
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