📚 Year 10 CCEA Business: Quick Reference Formula Handbook | Year 10 CCEA 商务：公式速查手册
This handbook summarises the essential formulas and key concepts you need for Year 10 CCEA Business Studies. Understanding these formulas is crucial for analysing costs, revenues, profit, break‑even and cash flow. Each formula is paired with a brief explanation and a practical example to help you apply it confidently in exams and assignments.
本手册总结了 Year 10 CCEA 商务课程所需的核心公式与关键概念。掌握这些公式对于分析成本、收入、利润、盈亏平衡和现金流至关重要。每个公式都配有简要说明和实例，帮助你在考试和作业中自信运用。
1. Total Revenue, Total Costs and Profit | 总收入、总成本与利润
Total Revenue (TR) is the income a business receives from selling its goods or services. It is the starting point for calculating profit.
总收入 (TR) 是企业通过销售商品或服务获得的收入，是计算利润的起点。
Total Revenue = Selling Price per unit × Quantity Sold
Total Costs (TC) represent all the expenses a business incurs in producing and delivering its products. They are split into fixed and variable costs.
总成本 (TC) 表示企业在生产和交付产品过程中发生的所有支出，分为固定成本和变动成本。
Total Costs = Fixed Costs + Variable Costs
Fixed costs, such as rent and insurance, do not change with the level of output. Variable costs, such as raw materials and packaging, increase directly with production.
固定成本（如租金和保险）不随产量变化，变动成本（如原材料和包装）则随生产直接增加。
Profit (or loss) is the reward for taking business risks. It is calculated by deducting total costs from total revenue.
利润（或亏损）是承担商业风险的回报，由总收入减去总成本得出。
Profit = Total Revenue − Total Costs
Example: If a café sells 200 coffees at £3.50 each, TR = £700. Fixed costs are £200, variable costs £2 per cup so TVC = £400. TC = £600, therefore Profit = £100.
示例：咖啡馆以每杯 £3.50 售出 200 杯咖啡，总收入 £700。固定成本 £200，每杯变动成本 £2，总变动成本 £400，总成本 £600，利润为 £100。
2. Break‑Even Point in Units | 盈亏平衡点（单位）
The break‑even point (BEP) is the number of units a business must sell to cover all its costs. At this level, total revenue equals total costs and the profit is zero.
盈亏平衡点是企业为覆盖所有成本必须销售的产品数量。在该水平下，总收入等于总成本，利润为零。
Break‑Even Point (units) = Fixed Costs ÷ (Selling Price per unit − Variable Cost per unit)
The denominator (Price − Variable Cost) is called the contribution per unit. It shows how much each sale contributes towards fixed costs after covering variable costs.
分母（价格 − 变动成本）称为单位贡献，表示每销售一件产品在覆盖变动成本后能为固定成本贡献多少。
Example: Fixed costs = £5,000, selling price = £25, variable cost per unit = £15. Contribution = £10. BEP = 500 units.
示例：固定成本 £5,000，售价 £25，单位变动成本 £15，贡献额 £10。盈亏平衡点 = 500 件。
3. Break‑Even Point in Sales Value (£) | 盈亏平衡点（销售额）
Sometimes businesses express the break‑even point as the sales revenue needed instead of units. This is useful when dealing with multiple products.
有时企业用所需销售收入而非产品数量来表示盈亏平衡点，这在多产品经营时很有用。
Break‑Even Point (£) = Break‑Even Point (units) × Selling Price per unit
Alternatively, you can use the contribution margin ratio: Break‑Even (£) = Fixed Costs ÷ (Contribution per unit ÷ Selling Price).
也可以使用贡献毛利率法：盈亏平衡销售额 = 固定成本 ÷（单位贡献额 ÷ 售价）。
Example: With a BEP of 500 units and a selling price of £25, the break‑even sales value is £12,500.
示例：盈亏平衡点为 500 件、售价 £25，则盈亏平衡销售额为 £12,500。
4. Margin of Safety | 安全边际
Margin of safety measures how far actual or forecast sales can fall before the business reaches the break‑even point. It indicates the risk of making a loss.
安全边际衡量实际或预测销售额在达到盈亏平衡点之前可以下降的幅度，反映了亏损风险。
Margin of Safety (units) = Actual or Budgeted Sales (units) − Break‑Even Sales (units)
pressed as a percentage: (Margin of Safety ÷ Actual Sales) × 100, or as a value in pounds.
也可用百分比表示：（安全边际 ÷ 实际销售额）× 100，或以金额（£）表示。
Example: If a business sells 800 units and BEP is 500 units, the margin of safety is 300 units. Sales can drop by 300 units before losses occur.
示例：若实际销售 800 件，盈亏平衡点 500 件，安全边际为 300 件，在亏损前销量最大可减少 300 件。
5. Profit Margins (Gross and Net) | 利润率（毛利与净利）
Profit margins assess a business’s profitability relative to its revenue. They help compare performance over time or against competitors.
利润率衡量企业相对于收入的盈利水平，可用于比较不同时期或与竞争对手的业绩。
Gross profit is the difference between revenue and the cost of goods sold (cost of sales). It reflects how efficiently a business produces or purchases its products.
毛利是收入与销售成本（销货成本）之间的差额，反映了企业生产或采购产品的效率。
Gross Profit = Revenue − Cost of Sales
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100
Net profit takes into account all expenses, including overheads and interest. It shows the 'bottom line' profit.
净利考虑了所有费用（包括管理费用和利息），体现了“底线”利润。
Net Profit = Gross Profit − Other Operating Expenses and Interest
Net Profit Margin = (Net Profit ÷ Revenue) × 100
Example: Revenue £50,000, cost of sales £30,000, operating expenses £12,000. Gross profit = £20,000; gross margin = 40%. Net profit = £8,000; net margin = 16%.
示例：收入 £50,000，销货成本 £30,000，其他运营费用 £12,000。毛利 £20,000，毛利率 40%；净利 £8,000，净利率 16%。
6. Mark‑up Percentage | 加价百分比
Mark‑up is the amount added to the cost price to determine the selling price. It is often used in retail pricing decisions.
加价是指在成本价基础上增加的金额，用于制定售价，常见于零售定价。
Mark‑up (%) = (Gross Profit ÷ Cost of Sales) × 100
Note the difference between mark‑up and gross profit margin: mark‑up uses cost of sales as the base, while margin uses revenue.
注意加价率与毛利率的区别：加价率以销货成本为基数，毛利率以收入为基数。
Example: A product costs £10 to buy, and the business sells it for £15. Gross profit = £5. Mark‑up = (5 ÷ 10) × 100 = 50%. The gross margin is (5 ÷ 15) × 100 = 33.3%.
示例：某产品成本 £10，售价 £15，毛利 £5。加价率 = 50%，毛利率 = 33.3%。
7. Cash Flow Formulas (Net Cash Flow, Closing Balance) | 现金流公式（净现金流、期末余额）
Cash flow forecasting helps a business anticipate surpluses or shortages. Two key calculations are used in every cash flow forecast table.
现金流预测帮助企业预见资金盈余或短缺，每张预测表中都会用到以下两项关键计算。
Net Cash Flow = Total Cash Inflows − Total Cash Outflows
Closing Balance = Opening Balance + Net Cash Flow
The closing balance of one month becomes the opening balance of the next month. A negative closing balance signals a potential liquidity problem.
某月的期末余额会成为下一个月的期初余额。期末余额为负预示着可能发生流动性问题。
Example: In January, opening balance = £2,000, inflows = £8,000, outflows = £6,500. Net cash flow = +£1,500; closing balance = £3,500.
示例：一月期初余额 £2,000，流入 £8,000，流出 £6,500，净现金流 +£1,500，期末余额 £3,500。
8. Total Variable Cost and Average Cost | 总变动成本与平均成本
Understanding cost behaviour is crucial for budgeting and break‑even analysis. Variable costs rise with output, while average cost helps set prices.
理解成本性态对预算和盈亏平衡分析至关重要。变动成本随产量上升，平均成本则有助于定价。
Total Variable Cost = Variable Cost per unit × Quantity Produced
Average Cost (or Unit Cost) = Total Costs ÷ Quantity Output
Average cost falls as fixed costs are spread over more units. If a firm produces 1,000 units with a total cost of £4,000, average cost is £4 per unit.
随着固定成本被更多产品分摊，平均成本下降。若企业生产 1,000 件，总成本 £4,000，则平均成本为每件 £4。
9. Simple Interest on Loans | 贷款单利
When a business borrows money, it must pay interest. Simple interest is a straightforward way to estimate borrowing costs for short‑term loans.
企业借款时必须支付利息。单利是估算短期借贷成本的一种简便方法。
Simple Interest = Principal × Annual Interest Rate (as a decimal) × Time (years)
Example: A £4,000 loan at 5% annual interest over 3 years generates interest of £4,000 × 0.05 × 3 = £600. Total repayment = £4,600.
示例：一笔 £4,000 贷款，年利率 5%，期限 3 年，利息 = £4,000 × 0.05 × 3 = £600，总还款额 £4,600。
Knowing the interest cost helps managers assess the true expense of finance and its impact on profitability.
了解利息成本有助于管理者评估融资的实际支出及其对盈利能力的影响。
Published by TutorHao | Business Revision Series | aleveler.com
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