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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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 deficit could be removed by cutting of spending, or by earning 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 is over a four-week month, and an annual insurance cost of is 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 sells for , the loss is , and the percentage loss is .
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 and expenditure is . State the surplus or deficit. [2 marks]
- Cue. , a deficit of .
Q2. A bike costs and sells for . Find the percentage loss. [3 marks]
- Cue. Loss ; .
Q3. Add VAT to a net price of . [2 marks]
- Cue. .
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 in fees and in grants. Its costs are rent , equipment and snacks . Does the club run a surplus or a deficit, and by how much?Show worked answer →
Total the income: (1 mark). Total the expenditure: (1 mark). Compare them: income exceeds expenditure, so the club runs a surplus (1 mark). Find the amount: 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 and sells it for . Calculate the percentage profit.Show worked answer →
The actual profit is selling price minus cost price: (1 mark). Percentage profit is the profit as a percentage of the cost price: (1 mark). Evaluate: (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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