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ScotlandApplications of MathematicsSyllabus dot point

How do you analyse a financial position using budget information, working out a balance, a surplus or a deficit, and applying profit, loss and VAT?

Analysing a financial position using budget information, calculating total income and total expenditure to find a surplus or deficit, and working with profit, loss and VAT in financial contexts.

A focused answer to the SQA National 5 Applications of Mathematics finance content on budgeting, covering analysing a financial position from budget information, finding a surplus or deficit by comparing income and expenditure, and applying profit, loss and VAT in financial contexts.

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  1. What this dot point is asking
  2. Analysing a budget
  3. Profit, loss and VAT
  4. Examples in context
  5. Try this

What this dot point is asking

The SQA wants you to analyse a financial position from budget information: total the income, total the expenditure, decide whether there is a surplus or a deficit and by how much, and apply profit, loss and VAT calculations to financial contexts.

Analysing a budget

A budget sets income against expenditure over a period such as a month or a year. To analyse it, total all the income, total all the expenditure, then find the difference.

When a budget shows a deficit, the question often asks what could be cut or earned to balance it, which is interpreting the figures, not just calculating them. For example, a £80\pounds 80 deficit could be removed by cutting £80\pounds 80 of spending, or by earning £80\pounds 80 more income; a good answer names a realistic change and shows it balances the budget.

Budgets are sometimes set over different periods, so the figures must be brought to the same period before comparing. A weekly food cost of £70\pounds 70 is £70×4=£280\pounds 70 \times 4 = \pounds 280 over a four-week month, and an annual insurance cost of £600\pounds 600 is £600÷12=£50\pounds 600 \div 12 = \pounds 50 a month. Lining up the periods first is essential, or the surplus or deficit will be wrong.

Profit, loss and VAT

Profit and loss compare what something cost with what it sold for. VAT is a tax added to most goods and services.

Percentage profit and loss are always taken as a percentage of the cost price, because that is the amount that was risked. Dividing by the selling price gives a different, incorrect figure. A loss works the same way: if a cost price of £50\pounds 50 sells for £42\pounds 42, the loss is £8\pounds 8, and the percentage loss is 850×100=16%\dfrac{8}{50} \times 100 = 16\%.

Examples in context

Budgeting models real decisions. A student plans whether a part-time wage covers rent and travel; a charity event organiser checks whether ticket income beats the venue and catering costs; a market trader works out the percentage profit on stock and adds VAT to a quote. Each rests on totalling income and expenditure, comparing them, and applying percentage profit, loss or VAT, the skills here.

Try this

Q1. Income is £980\pounds 980 and expenditure is £1120\pounds 1120. State the surplus or deficit. [2 marks]

  • Cue. 9801120=140980 - 1120 = -140, a deficit of £140\pounds 140.

Q2. A bike costs £200\pounds 200 and sells for £170\pounds 170. Find the percentage loss. [3 marks]

  • Cue. Loss £30\pounds 30; 30200×100=15%\dfrac{30}{200} \times 100 = 15\%.

Q3. Add 20%20\% VAT to a net price of £45\pounds 45. [2 marks]

  • Cue. 45×1.20=£5445 \times 1.20 = \pounds 54.

Exam-style practice questions

Practice questions written in the style of SQA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

SQA N5 Apps style4 marksA youth club has monthly income of £450\pounds 450 in fees and £120\pounds 120 in grants. Its costs are rent £300\pounds 300, equipment £95\pounds 95 and snacks £60\pounds 60. Does the club run a surplus or a deficit, and by how much?
Show worked answer →

Total the income: £450+£120=£570\pounds 450 + \pounds 120 = \pounds 570 (1 mark). Total the expenditure: £300+£95+£60=£455\pounds 300 + \pounds 95 + \pounds 60 = \pounds 455 (1 mark). Compare them: income exceeds expenditure, so the club runs a surplus (1 mark). Find the amount: £570£455=£115\pounds 570 - \pounds 455 = \pounds 115 surplus (1 mark). Markers reward both totals, the correct surplus or deficit decision, and the amount. State surplus or deficit clearly, not just the number.

SQA N5 Apps style3 marksA shop buys a jacket for £40\pounds 40 and sells it for £54\pounds 54. Calculate the percentage profit.
Show worked answer →

The actual profit is selling price minus cost price: £54£40=£14\pounds 54 - \pounds 40 = \pounds 14 (1 mark). Percentage profit is the profit as a percentage of the cost price: 1440×100\dfrac{14}{40} \times 100 (1 mark). Evaluate: 1440×100=35%\dfrac{14}{40} \times 100 = 35\% (1 mark). Markers reward the actual profit, dividing by the cost price (not the selling price), and the percentage. A common error is dividing by the selling price.

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