📚 Year 10 AQA Business: Formula Quick Reference | 10年级AQA商务：公式定理速查手册
This quick reference guide covers every essential formula, ratio and calculation required for the Year 10 AQA GCSE Business course. Understanding how to apply these formulas correctly will strengthen your data analysis skills, support your written answers and boost your confidence for both paper-based and real-world business scenarios.
本速查手册涵盖10年级AQA GCSE商务课程中所有关键的公式、比率和计算方法。掌握如何正确运用这些公式，将提升你的数据分析能力，为书面答题提供支撑，并增强你在考试和真实商业情境中的信心。
1. Revenue, Costs and Profit | 收入、成本与利润
Revenue is the total income a business receives from selling its goods or services before any costs are deducted. It is often called sales revenue or turnover.
Revenue = Selling Price per Unit × Quantity Sold
收入是企业在扣除任何成本之前通过销售商品或服务获得的总收入，常被称为销售收入或营业额。
Total costs are the sum of all fixed and variable costs a business incurs in producing its output.
Total Costs = Fixed Costs + Variable Costs
总成本是企业生产其产出所产生的全部固定成本与变动成本之和。
Profit is the financial gain obtained when revenue exceeds total costs. It is the primary objective for most businesses.
Profit = Total Revenue – Total Costs
利润是当收入超过总成本时获得的财务收益，是大多数企业的主要目标。
Gross profit focuses on direct trading activities by subtracting the cost of sales from revenue.
Gross Profit = Revenue – Cost of Sales
毛利润关注直接交易活动，从收入中减去销售成本。
Net profit is the final surplus after all other operating expenses, interest and taxes have been deducted from gross profit.
Net Profit = Gross Profit – Expenses
净利润是从毛利润中扣除所有其他营业费用、利息和税金后的最终盈余。
2. Profit Margins | 利润率
Profit margins express profit as a percentage of revenue, allowing comparisons between firms of different sizes or across time periods.
利润率将利润表示为收入的百分比，便于在不同规模的企业之间或不同时期进行比较。
The gross profit margin reveals how efficiently a business converts raw materials and direct labour into sales.
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100%
毛利润率揭示企业将原材料和直接人工转化为销售的效率。
The net profit margin shows the proportion of revenue that remains after all costs are accounted for.
Net Profit Margin = (Net Profit ÷ Revenue) × 100%
净利润率显示在扣除所有成本后，收入中剩余的比例。
A rising margin indicates improving cost control or pricing power, while a falling margin may signal competitive pressure or rising expenses.
利润率上升表明成本控制或定价能力改善，而利润率下降可能暗示竞争压力或费用上涨。
3. Contribution and Break-even Analysis | 贡献额与盈亏平衡分析
Contribution per unit is the amount each unit sold contributes towards covering fixed costs and generating profit, after variable costs have been paid.
Contribution per Unit = Selling Price – Variable Cost per Unit
单位贡献额是每售出一个单位在支付变动成本后，可用于覆盖固定成本和产生利润的金额。
Total contribution is the aggregate contribution from all units sold.
Total Contribution = Contribution per Unit × Quantity Sold
总贡献额是所有销售单位的贡献额总和。
Once total contribution equals fixed costs, the business has reached its break-even point, where total revenue equals total costs and no profit or loss is made.
Break-even Output = Fixed Costs ÷ Contribution per Unit
一旦总贡献额等于固定成本，企业就达到了盈亏平衡点，此时总收入等于总成本，既无利润也无亏损。
Break-even analysis helps managers decide whether to launch a product, set targets and assess the impact of changes in costs or price.
盈亏平衡分析帮助管理者决定是否推出产品、设定目标，并评估成本或价格变动的影响。
4. Break-even Point and Margin of Safety | 盈亏平衡点与安全边际
The margin of safety measures how much actual output or sales can fall before the business starts making a loss. A larger margin of safety indicates lower risk.
Margin of Safety = Actual Output – Break-even Output
安全边际衡量在实际产出或销量下降多少时，企业才会开始亏损。安全边际越大，风险越低。
If the margin of safety is positive, the business is operating profitably above break-even; if negative, it is making a loss.
如果安全边际为正，企业以盈利状态运营在盈亏平衡点以上；如果为负，则企业正在亏损。
Managers often express the margin of safety as a percentage to compare periods or products.
Margin of Safety (%) = (Margin of Safety ÷ Actual Output) × 100%
管理者通常将安全边际表示为百分比，以便在不同时期或产品之间进行比较。
5. Average Rate of Return (ARR) | 平均回报率 (ARR)
The Average Rate of Return evaluates the profitability of an investment project by comparing the average annual profit to the initial cost. It is expressed as a percentage, making it easy to compare options.
ARR = (Average Annual Profit ÷ Initial Investment Cost) × 100%
平均回报率通过将平均年度利润与初始投入成本进行比较来评估投资项目的盈利能力。它以百分比表示，便于方案对比。
Average annual profit is calculated by dividing the total expected profit over the project's lifespan by the number of years.
Average Annual Profit = Total Profit over Project Life ÷ Number of Years
平均年度利润通过项目生命周期内的预期总利润除以年数来计算。
A higher ARR indicates a more attractive investment, but the method ignores the timing of cash flows and the time value of money.
更高的ARR意味着更有吸引力的投资，但该方法忽略了现金流的时间分布和货币时间价值。
6. Cash Flow Forecasting | 现金流预测
A cash flow forecast estimates the money expected to flow in and out of a business over a future period. It helps identify potential cash shortages before they occur.
现金流预测用于估计企业未来时期预计流入和流出的资金，有助于提前识别潜在的现金短缺。
Net cash flow for a month is the difference between total cash inflows and total cash outflows.
Net Cash Flow = Total Inflows – Total Outflows
月度净现金流是现金流入总额与现金流出总额的差额。
The closing balance shows how much cash the business holds at the end of the period and becomes the opening balance for the next month.
Closing Balance = Opening Balance + Net Cash Flow
期末余额显示企业期末持有的现金，并成为下个月的期初余额。
A negative closing balance signals a liquidity problem, so businesses might arrange an overdraft, delay payments or increase sales efforts.
期末余额为负意味着流动性问题，因此企业可能安排透支、延迟付款或加强销售力度。
7. Market Metrics | 市场份额与市场增长
Market share measures the portion of total market sales captured by a particular business or brand. It is a key indicator of competitiveness.
Market Share = (Sales of One Business ÷ Total Market Sales) × 100%
市场份额衡量某个企业或品牌在总市场销售中所占的比例，是竞争力的关键指标。
Market growth shows how the overall size of a market is changing over time, typically expressed as a percentage.
Market Growth = (Change in Market Size ÷ Original Market Size) × 100%
市场增长显示市场整体规模随时间的变化情况，通常以百分比表示。
A growing market presents opportunities for sales increases, while a declining market may require diversification or cost-cutting.
增长的市场提供了销量提升的机会，而萎缩的市场可能需要多元化或削减成本。
8. Interest and Loan Costs | 利息与贷款成本
Interest is the cost of borrowing money or the return on savings. Businesses must calculate interest to assess the true cost of loans.
利息是借款成本或储蓄回报。企业必须计算利息以评估贷款的真实成本。
The annual interest rate on a loan can be expressed as a percentage of the amount borrowed.
Interest Rate per Annum = (Annual Interest ÷ Amount Borrowed) × 100%
贷款的年利率可以表示为年度利息占借款金额的百分比。
Total repayment is the sum of the original loan and the total interest charged over the loan period.
Total Repayment = Amount Borrowed + Total Interest
总还款额是原始贷款金额加上贷款期间收取的总利息。
Comparing interest rates helps businesses choose the most cost-effective source of finance.
对比利率有助于企业选择最具成本效益的融资来源。
9. Unit Costs, Labour Productivity and Other Ratios | 单位成本、劳动生产率及其他比率
Unit cost (average total cost) shows how much it costs to produce one unit of output. Reducing unit costs improves profitability.
Unit Cost = Total Costs ÷ Number of Units Produced
单位成本（平均总成本）表示生产一个单位产品的成本。降低单位成本可提升盈利水平。
Labour productivity measures output per employee and is central to efficiency improvements.
Labour Productivity = Total Output in a Period ÷ Number of Employees
劳动生产率衡量每名员工的产出，是效率提升的核心指标。
Employee retention rate indicates how well a business keeps its staff, which can reduce recruitment and training costs.
tion Rate = (Number of Employees Remaining ÷ Number of Employees at Start of Period) × 100%
员工保留率显示企业留住员工的能力，这可以降低招聘和培训成本。
Absenteeism measures the proportion of working time lost to unplanned absences.
Absenteeism Rate = (Number of Staff Absent ÷ Total Number of Staff) × 100%
缺勤率衡量因非计划缺勤而造成的工作时间损失比例。
10. Key Formula Summary Table | 关键公式汇总表
The table below collects all the critical formulas you need to remember for the Year 10 AQA Business course. Use it for quick revision and self-testing.
下表收集了10年级AQA商务课程中需要记住的所有关键公式，可用于快速复习和自我检测。
| Formula Name | Formula |
|---|---|
| Revenue | Selling Price per Unit × Quantity Sold |
| Total Costs | Fixed Costs + Variable Costs |
| Profit | Total Revenue – Total Costs |
| Gross Profit | Revenue – Cost of Sales |
| Net Profit | Gross Profit – Expenses |
| Gross Profit Margin | (Gross Profit ÷ Revenue) × 100% |
| Net Profit Margin | (Net Profit ÷ Revenue) × 100% |
| Contribution per Unit | Selling Price – Variable Cost per Unit |
| Total Contribution | Contribution per Unit × Quantity Sold |
| Break-even Output | Fixed Costs ÷ Contribution per Unit |
| Margin of Safety | Actual Output – Break-even Output |
| ARR | (Average Annual Profit ÷ Initial Investment) × 100% |
| Net Cash Flow | Total Inflows – Total Outflows |
| Closing Balance | Opening Balance + Net Cash Flow |
| Market Share | (Business Sales ÷ Total Market Sales) × 100% |
| Market Growth | (Change in Market Size ÷ Original Market Size) × 100% |
| Interest Rate | (Annual Interest ÷ Amount Borrowed) × 100% |
| Unit Cost | Total Costs ÷ Number of Units Produced |
| Labour Productivity | Total Output ÷ Number of Employees |
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