📚 OCR GCSE Business Formula & Theorem Quick Reference | OCR GCSE 商务公式定理速查手册
Mastering essential business formulas is key to success in your OCR GCSE Business exam. This quick reference handbook covers all the core calculations you need to know, from revenue and costs to break-even analysis, profitability ratios, liquidity measures, and investment appraisal. Each entry includes the formula, a plain-English explanation, and the common unit or interpretation to help you apply the numbers with confidence.
掌握核心商务公式是成功通过OCR GCSE商务考试的关键。本速查手册涵盖了你需要掌握的所有基础计算，包括收入、成本、盈亏平衡分析、盈利比率、流动性指标及投资评估。每个条目都包含公式、通俗易懂的解释以及常用单位或解读方法，帮助你自信地运用这些数据。
1. Revenue Formula | 收入公式
Revenue (also called turnover or sales revenue) is the total income generated from selling goods or services. It is the top-line figure on the income statement and does not deduct any costs. The formula depends purely on selling price and the number of units sold.
收入（也称营业额或销售收入）是通过出售商品或服务获得的总收入。它是利润表中的首要项目，不扣除任何成本。该公式仅取决于售价和销售数量。
Revenue = Selling Price per Unit × Quantity Sold
If a retailer sells 400 units at £12.50 each, the total revenue is £12.50 × 400 = £5,000. Revenue can increase by raising the price, selling more units, or a combination of both. In exam questions, always check whether the price or quantity includes VAT or discounts.
如果一家零售商以每件12.50英镑的价格售出400件商品，总收入为 12.50 × 400 = 5000 英镑。提高价格、增加销量或两者结合都能提升收入。在试题中，务必核实价格或数量是否包含增值税或折扣。
2. Total Costs | 总成本
Total cost is the sum of all expenses a business incurs to produce and deliver its products. Fixed costs do not vary with output in the short term, while variable costs change directly with the level of production or sales. Understanding cost behaviour is essential for break-even and profit planning.
总成本是企业为生产和交付产品而发生的所有费用之和。固定成本在短期内不随产量变化，而变动成本则直接随生产或销售水平变化。理解成本性态对于盈亏平衡和利润规划至关重要。
Total Costs = Fixed Costs + (Variable Cost per Unit × Quantity)
For example, a bakery has fixed costs of £2,000 per month and variable costs of £1.50 per loaf. If it produces 1,000 loaves, total costs = £2,000 + (£1.50 × 1,000) = £3,500. Mixed costs, such as a phone bill with a fixed line rental plus call charges, should be split into their fixed and variable parts.
例如，一家面包店的月固定成本为2000英镑，每条面包的变动成本为1.50英镑。如果生产1000条面包，总成本 = 2000 + (1.50 × 1000) = 3500 英镑。混合成本（如固定月租加通话费的电话账单）应拆分为固定部分和变动部分。
3. Profit | 利润
Profit is the financial reward for taking business risks. It is the surplus remaining after all costs have been subtracted from total revenue. You may see the term net profit or operating profit; at GCSE level, profit usually means net profit before tax unless the question specifies otherwise.
利润是承担经营风险的财务回报，是总收入扣除所有成本后的剩余部分。你可能见到净利润或营业利润等术语；在GCSE考试中，除非题目另作说明，利润通常指税前净利润。
Profit = Total Revenue – Total Costs
If a business earns £50,000 in revenue and its total costs amount to £42,000, profit = £50,000 – £42,000 = £8,000. A negative result represents a loss. Profit is an absolute figure; it does not show how efficiently resources are being used, which is why margin ratios are also required.
如果企业获得5万英镑的收入，且总成本为4.2万英镑，则利润 = 50000 – 42000 = 8000 英镑。若结果为负即代表亏损。利润是一个绝对数值，无法反映资源利用效率，因此还需要使用利润率等比率。
4. Break-even Point | 盈亏平衡点
The break-even point is the volume of output at which total revenue equals total costs, resulting in zero profit and zero loss. It is a vital planning tool for start-ups and for new product launches. The formula uses contribution per unit, which is the selling price minus the variable cost per unit.
盈亏平衡点是指总收入与总成本相等时的产量，此时利润为零、亏损为零。它是初创企业和新产品上市的重要规划工具。该公式使用单位贡献毛益，即售价减去单位变动成本。
Break-even Point (units) = Fixed Costs ÷ (Selling Price per Unit – Variable Cost per Unit)
Suppose a business has fixed costs of £10,000, sells its product for £25, and incurs a variable cost of £15 per unit. Contribution per unit = £25 – £15 = £10. Break-even output = £10,000 ÷ £10 = 1,000 units. A break-even chart can also be used to find the point visually. Knowing the break-even point helps set sales targets and assess risk.
假设企业固定成本为10000英镑，产品售价为25英镑，单位变动成本为15英镑。单位贡献毛益 = 25 – 15 = 10 英镑。盈亏平衡产量 = 10000 ÷ 10 = 1000 单位。盈亏平衡图也可直观显示该点。了解盈亏平衡点有助于设定销售目标和评估风险。
5. Margin of Safety | 安全边际
The margin of safety indicates the amount by which actual or budgeted output exceeds the break-even point. A larger margin of safety means the business is better protected from unexpected declines in sales before it starts making a loss. It can be expressed in units or as a percentage of current output.
安全边际显示实际或预算产量超过盈亏平衡点的幅度。安全边际越大，企业在陷入亏损前抵御销量意外下滑的能力就越强。它可以以单位数或当前产量的百分比表示。
Margin of Safety (units) = Current Output – Break-even Output
Margin of Safety (%) = (Current Output – Break-even Output) ÷ Current Output × 100
If a factory produces 2,000 units per month and break-even is 1,200 units, margin of safety = 2,000 – 1,200 = 800 units, or (800 ÷ 2,000) × 100 = 40%. Businesses can improve the margin of safety by reducing fixed costs, increasing selling price, or lowering variable costs.
如果一家工厂每月生产2000件产品，盈亏平衡点为1200件，则安全边际 = 2000 – 1200 = 800 件，或 (800 ÷ 2000) × 100 = 40%。企业可通过降低固定成本、提高售价或降低变动成本来改善安全边际。
6. Gross and Net Profit Margin | 毛利率与净利润率
Profit margins show what percentage of revenue turns into profit. The gross profit margin focuses on direct trading efficiency, while the net profit margin reveals how well the business controls all its expenses, including overheads and interest. Both are critical for comparing performance over time or against competitors.
利润率显示收入转化为利润的百分比。毛利率侧重于直接交易效率，而净利润率则揭示企业控制所有费用（包括间接费用和利息）的能力。两者对于比较不同时期的业绩或与竞争对手对标都至关重要。
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100
Net Profit Margin = (Net Profit ÷ Revenue) × 100
Gross profit equals revenue minus cost of sales. If a shop generates £80,000 revenue with a cost of sales of £48,000, gross profit = £32,000. Gross profit margin = (£32,000 ÷ £80,000) × 100 = 40%. After deducting expenses of £20,000, net profit becomes £12,000, giving a net profit margin of (£12,000 ÷ £80,000) × 100 = 15%. A falling gross margin suggests rising material costs or price cuts, while a falling net margin points to poor overhead control.
毛利润等于收入减去销售成本。如果一家商店创造80000英镑收入，销售成本为48000英镑，则毛利润为32000英镑。毛利率 = (32000 ÷ 80000) × 100 = 40%。扣除20000英镑费用后，净利润为12000英镑，净利润率 = (12000 ÷ 80000) × 100 = 15%。毛利率下滑暗示材料成本上升或降价销售，而净利润率下滑则指向费用控制不力。
7. Average Rate of Return (ARR) | 平均回报率
The average rate of return measures the yearly profitability of an investment as a percentage of the initial outlay. It is widely used in investment appraisal to compare projects and decide whether the expected return exceeds the firm’s target rate. You must calculate the average annual profit from the total net profit over the project’s life.
平均回报率衡量一项投资的年度盈利能力，以其占初始投资额的百分比表示。它被广泛用于投资评估，以比较不同项目并判断预期回报是否超过企业目标回报率。你需要根据项目生命周期内的总净利润来计算年平均利润。
Average Annual Profit = Total Net Profit over Project Life ÷ Number of Years
ARR = (Average Annual Profit ÷ Initial Investment) × 100
Imagine a firm invests £50,000 in new machinery. The machinery is expected to produce total net profits of £20,000 over 4 years. Average annual profit = £20,000 ÷ 4 = £5,000. ARR = (£5,000 ÷ £50,000) × 100 = 10%. If the company’s target is 8%, the project would be accepted. ARR is simple but ignores the time value of money, so it is often used alongside payback period analysis.
假设一家企业投资5万英镑购置新机器，预计4年内产生总计2万英镑的净利润。年平均利润 = 20000 ÷ 4 = 5000 英镑。ARR = (5000 ÷ 50000) × 100 = 10%。如果公司的目标回报率为8%，则该项目可接受。ARR 计算简便但忽略了货币时间价值，因此常与投资回收期分析法配合使用。
8. Cash Flow Formulas | 现金流量公式
Cash flow is the movement of money into and out of a business. A cash flow forecast helps managers anticipate surpluses or shortages, ensuring the firm can pay its bills on time. The two essential calculations are net cash flow and the closing balance.
现金流量是指资金进出企业的流动。现金流量预测有助于管理者预见到余缺，确保企业能按时支付账单。两项核心计算是净现金流与期末余额。
Net Cash Flow = Total Cash Inflows – Total Cash Outflows
Closing Balance = Opening Balance + Net Cash Flow
Inflows include sales revenue, loans received, and asset sales. Outflows cover wages, materials, rent, and interest. For January, if opening balance is £2,000, inflows are £8,000 and outflows are £6,500, net cash flow = £8,000 – £6,500 = £1,500, giving a closing balance of £2,000 + £1,500 = £3,500. This closing balance becomes the opening balance for February. Persistent negative net cash flow can lead to insolvency, even if the business is profitable on paper.
流入包括销售收入、贷款收入和资产出售；流出涵盖工资、材料、租金和利息。如果1月的期初余额为2000英镑，流入8000英镑，流出6500英镑，则净现金流 = 8000 – 6500 = 1500 英镑，期末余额 = 2000 + 1500 = 3500 英镑。该期末余额将作为2月的期初余额。持续的负净现金流即使账面盈利也可能导致企业破产。
9. Current Ratio | 流动比率
The current ratio assesses a business’s ability to meet short-term obligations using its current assets. It is a key liquidity indicator. A ratio between 1.5:1 and 2:1 is typically considered healthy, though ideal levels vary by industry.
流动比率评估企业利用流动资产偿还短期债务的能力，是一项关键的流动性指标。通常认为 1.5:1 至 2:1 是较健康的水平，但理想值因行业而异。
Current Ratio = Current Assets ÷ Current Liabilities
Current assets include cash, receivables, and inventories; current liabilities include overdrafts, payables, and short-term borrowings. If a firm has current assets of £60,000 and current liabilities of £40,000, current ratio = £60,000 ÷ £40,000 = 1.5:1. A ratio below 1:1 suggests the business may struggle to pay bills, while a very high ratio may indicate idle assets that are not being used efficiently.
流动资产包括现金、应收账款和存货；流动负债包括透支、应付账款和短期借款。如果企业的流动资产为6万英镑，流动负债为4万英镑，流动比率 = 60000 ÷ 40000 = 1.5:1。比率低于 1:1 意味着企业可能难以偿还账单，而过高的比率则可能表明资产闲置、未得到高效利用。
10. Acid Test Ratio | 酸性测试比率
The acid test ratio (also called the quick ratio) is a stricter measure of liquidity because it excludes inventories, which may take time to sell and may lose value if sold quickly. Creditors often prefer this ratio when evaluating whether a business can pay its immediate debts.
酸性测试比率（也称速动比率）是一种更严格的流动性指标，因为它剔除了存货——存货既需要时间才能售出，又可能在快速变现时贬值。债权人在评估企业能否立即偿还债务时，通常倾向于采用这一比率。
Acid Test Ratio = (Current Assets – Inventories) ÷ Current Liabilities
Using the same figures as above, assume inventories total £20,000. Acid test ratio = (£60,000 – £20,000) ÷ £40,000 = £40,000 ÷ £40,000 = 1:1. A ratio of 1:1 means the business has exactly one pound of liquid assets for each pound of current liabilities, which is generally acceptable. If the ratio falls much below 0.8:1, short-term lenders may reduce credit terms.
沿用上例数据，假设存货总计2万英镑，酸性测试比率 = (60000 – 20000) ÷ 40000 = 40000 ÷ 40000 = 1:1。比率为 1:1 意味着企业每1英镑流动负债恰好有1英镑高流动性资产，这通常可接受。若该比率远低于 0.8:1，短期债权人可能收紧信贷条件。
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