📚 KS3 OCR Business: Formula & Theorem Quick Reference Handbook | KS3 OCR 商务：公式定理速查手册
Welcome to your one‑stop revision handbook for all the essential formulas and key principles covered in the KS3 OCR Business course. Use this guide to review, test yourself, and feel confident when applying business calculations and explaining economic ideas. Each section gives you the formula or concept first in English, followed immediately by the same explanation in Chinese, so you can learn in both languages.
欢迎使用这份针对 KS3 OCR 商务课程的一站式复习手册，里面汇总了所有核心公式和重要原理。你可以用它来复习、自测，并自信地应用商业计算和解释经济概念。每个部分先用英文给出公式或概念，紧接着用中文同义对照，方便你双语学习。
1. Revenue and Profit | 收入与利润
Total Revenue = Selling Price per Unit × Quantity Sold
Revenue is the total income a business receives from selling its goods or services. It does not take any costs into account.
总收入 = 单位售价 × 销售数量
收入是企业通过销售商品或服务获得的总款项，尚未扣除任何成本。
Profit = Total Revenue − Total Costs
Profit is what remains after all costs have been subtracted from revenue. A business must earn a profit to survive and grow in the long run.
利润 = 总收入 − 总成本
利润是从收入中扣除所有成本后的剩余部分。企业必须盈利才能长期生存和发展。
2. Costs: Fixed, Variable and Total | 成本：固定、变动与总成本
Total Costs (TC) = Fixed Costs (FC) + Variable Costs (VC)
Fixed costs stay the same regardless of output (e.g. rent, insurance). Variable costs change directly with the level of production (e.g. raw materials, packaging).
总成本 = 固定成本 + 变动成本
固定成本不随产量变化（如租金、保险），而变动成本直接随着产量的增减而改变（如原材料、包装）。
Average Cost (or Unit Cost) = Total Cost ÷ Quantity Produced
This shows how much it costs to make one unit on average. Businesses use it to set prices and monitor efficiency.
平均成本（单位成本）= 总成本 ÷ 生产数量
它表明平均生产一件产品需要花费多少。企业用它来定价和监控效率。
3. Break‑Even Analysis | 盈亏平衡分析
Break‑Even Point (units) = Fixed Costs ÷ (Selling Price per Unit − Variable Cost per Unit)
The break‑even point is the number of units a business must sell so that total revenue equals total costs – making neither a profit nor a loss.
盈亏平衡点（数量）= 固定成本 ÷（单位售价 − 单位变动成本）
盈亏平衡点是指企业必须售出的产品数量，使得总收入恰好等于总成本，既不盈利也不亏损。
Contribution per Unit = Selling Price per Unit − Variable Cost per Unit
Contribution shows how much one unit contributes towards paying fixed costs and then generating profit.
单位贡献 = 单位售价 − 单位变动成本
贡献表示每售出一件产品能为支付固定成本并创造利润做出多大贡献。
Margin of Safety = Actual Sales − Break‑Even Sales
The margin of safety tells you how far sales can fall before the business starts making a loss. It can be expressed in units or as a percentage.
安全边际 = 实际销售量 − 盈亏平衡销售量
安全边际说明销售量可以下降多少而不至于亏损。可以用数量或百分比表示。
4. Profit Margins | 利润率
Gross Profit = Sales Revenue − Cost of Goods Sold (COGS)
Gross profit measures how efficiently a business turns raw materials and direct labour into sales income, before deducting overheads.
毛利润 = 销售收入 − 销售成本
毛利润衡量企业在扣除间接费用前，将原材料和直接人工转化为销售收入的效率。
Gross Profit Margin (%) = (Gross Profit ÷ Sales Revenue) × 100
This percentage shows the gross profit earned for every pound (or yuan) of sales. A higher margin usually indicates stronger pricing power or lower production costs.
毛利率 (%) = (毛利润 ÷ 销售收入) × 100
这个百分比表示每一元销售收入带来的毛利润。较高的毛利率通常意味着更强的定价能力或更低的生产成本。
Net Profit = Gross Profit − All Other Expenses
Net profit is the final profit after all operating expenses, interest and taxes have been deducted. It is often called the ‘bottom line’.
净利润 = 毛利润 − 所有其他费用
净利润是扣除所有运营费用、利息和税金后的最终利润，常被称为“底线利润”。
Net Profit Margin (%) = (Net Profit ÷ Sales Revenue) × 100
This ratio shows what percentage of sales revenue is left as net profit. It helps compare performance across different periods or businesses.
净利率 (%) = (净利润 ÷ 销售收入) × 100
该比率表明销售收入中有多大比例最终变为净利润，有助于比较不同时期或不同企业的表现。
5. Market Share and Market Growth | 市场份额与市场增长
Market Share (%) = (Firm’s Sales ÷ Total Market Sales) × 100
Market share represents the percentage of an entire market’s sales that one business controls. It is a key measure of competitiveness.
市场份额 (%) = (企业销售额 ÷ 市场总销售额) × 100
市场份额反映了一家企业占整个市场销售额的百分比，是衡量竞争力的一个关键指标。
Market Growth (%) = [(Market Size This Year − Market Size Last Year) ÷ Market Size Last Year] × 100
Market growth tells you how quickly the overall market is expanding or shrinking. Growing markets offer more opportunities for sales but may also attract new competitors.
市场增长率 (%) = [(今年市场规模 − 去年市场规模) ÷ 去年市场规模] × 100
市场增长率说明整个市场扩张或收缩的速度。增长中的市场提供了更多销售机会，但也可能吸引新的竞争者。
6. Demand and Supply | 需求与供给
The Law of Demand: When the price of a product rises, the quantity demanded tends to fall, and vice versa – assuming all other factors remain equal. This inverse relationship is shown by a downward‑sloping demand curve.
需求定律： 在其他条件不变的情况下，产品价格上升时，需求量通常会下降；反之亦然。这种反向关系表现为一条向下倾斜的需求曲线。
The Law of Supply: When the price of a product rises, the quantity supplied tends to increase, as producers are more willing to offer goods for sale. This positive relationship is shown by an upward‑sloping supply curve.
供给定律： 价格上升时，供给量通常会增加，因为生产商更愿意提供产品。这种正向关系表现为一条向上倾斜的供给曲线。
Equilibrium Price is the point where demand equals supply. At this price there is neither a shortage nor a surplus, and the market clears naturally.
均衡价格 是需求量等于供给量的价格点。在此价格下，既没有短缺也没有过剩，市场自然出清。
7. Price Elasticity of Demand (PED) | 需求价格弹性
PED = (% Change in Quantity Demanded) ÷ (% Change in Price)
Price elasticity of demand measures how sensitive consumers are to a change in price. If PED is greater than 1, demand is elastic (responsive); if less than 1, demand is inelastic (less responsive).
需求价格弹性 = (需求量变动的百分比) ÷ (价格变动的百分比)
需求价格弹性衡量消费者对价格变化的敏感程度。如果弹性大于1，需求富有弹性（反应敏感）；小于1则缺乏弹性（反应不敏感）。
Products with many substitutes, or luxury items, tend to have elastic demand. Necessities and addictive products often show inelastic demand. Businesses need to know PED when deciding whether to raise or lower prices to increase total revenue.
替代品较多的产品或者奢侈品通常需求富有弹性；生活必需品和容易上瘾的产品往往缺乏弹性。企业在决定提价或降价以增加总收入时，需要了解需求价格弹性。
8. Cash Flow Forecasts | 现金流预测
Net Cash Flow = Total Cash Inflows − Total Cash Outflows
A cash flow forecast estimates the money a business expects to receive and pay out over a period. Positive net cash flow means more money is coming in than going out, which is vital for day‑to‑day survival.
净现金流 = 现金流入总额 − 现金流出总额
现金流预测是估算企业在一定时期内预计收到和支出的金额。正的净现金流意味着现金流入大于流出，这对日常生存至关重要。
Closing Balance = Opening Balance + Net Cash Flow
The closing balance of one month becomes the opening balance for the next. A business must avoid a negative closing balance, as that indicates an overdraft or liquidity problem.
期末余额 = 期初余额 + 净现金流
本月期末余额成为下月的期初余额。企业必须避免出现负的期末余额，因为这表示存在透支或流动性问题。
A typical cash flow forecast table looks like this:
典型的现金流预测表如下：
| Month | Jan (£) | Feb (£) |
|---|---|---|
| Opening Balance | 5,000 | 4,200 |
| Cash Inflows | 8,000 | 9,500 |
| Cash Outflows | 8,800 | 7,300 |
| Net Cash Flow | −800 | 2,200 |
| Closing Balance | 4,200 | 6,400 |
9. Business Objectives and Stakeholders | 企业目标与利益相关者
Although not a formula, the hierarchy of business objectives is a vital concept: businesses often move from survival (covering costs) to profit maximisation, then to growth and sometimes social responsibility. Different stakeholders – owners, employees, customers, suppliers, the local community – may have conflicting objectives.
虽然不是公式，但企业目标层级是一个重要概念：企业往往从生存（覆盖成本）到利润最大化，再到增长，有时还包括社会责任。不同的利益相关者——所有者、员工、顾客、供应商、当地社区——可能有着相互冲突的目标。
Stakeholder mapping helps a business prioritise its actions by considering the interest and power of each stakeholder group. Managing these relationships is essential for long‑term success.
利益相关者映射 通过考量各利益相关群体的利益和权力，帮助企业确定行动的优先级。管理好这些关系对长期成功至关重要。
10. Exchange Rates | 汇率
Value in Foreign Currency = Amount in Home Currency × Exchange Rate
When a UK business sells to the USA, it must convert pounds into dollars. If £1 = $1.25, then £1,000 becomes $1,250.
外币金额 = 本币金额 × 汇率
当一家英国企业向美国销售时，必须将英镑兑换成美元。如果1英镑兑1.25美元，那么1000英镑就等于1250美元。
Home Currency Equivalent = Amount in Foreign Currency ÷ Exchange Rate
Conversely, converting dollars back to pounds uses division. Exchange rate fluctuations affect import costs, export competitiveness and the final profit reported in the home currency.
本币等值 = 外币金额 ÷ 汇率
反之，将美元换回英镑则用除法。汇率波动会影响进口成本、出口竞争力以及以本币报告的最终利润。
11. Productivity and Efficiency | 生产率与效率
Labour Productivity = Total Output ÷ Number of Employees
This measures the average output per worker. Higher productivity can lead to lower costs per unit and higher profits, provided quality is maintained.
劳动生产率 = 总产量 ÷ 员工人数
它衡量每名员工的平均产出。在保证质量的前提下，更高的生产率可以降低单位成本、提高利润。
Capacity Utilisation (%) = (Actual Output ÷ Maximum Possible Output) × 100
Capacity utilisation shows how fully a business is using its resources. Very high utilisation can strain equipment, while very low utilisation means fixed costs are spread over fewer units, raising average cost.
产能利用率 (%) = (实际产量 ÷ 最大可能产量) × 100
产能利用率表明企业资源的使用程度。利用率过高可能使设备超负荷，而过低则意味着固定成本分摊到更少的产品上，从而提高平均成本。
12. Breakeven Chart and Decision‑Making Techniques | 盈亏平衡图与决策工具
A breakeven chart visually plots total costs and total revenue against output. The point where the two lines intersect is the breakeven point. The area between the revenue line and total cost line to the right of the breakeven point represents profit; to the left, it represents loss.
盈亏平衡图 以图形方式将总成本和总收入与产量对应绘制出来。两条线的交点为盈亏平衡点。交点右侧收入线与总成本线之间的区域代表利润，左侧代表亏损。
Other useful decision formulas include:
其他有用的决策公式包括：
Return on Investment (ROI) (%) = (Net Profit from Investment ÷ Cost of Investment) × 100
ROI helps assess how effectively a business is using its money. It is widely used when comparing different investment opportunities.
投资回报率 (%) = (投资净利润 ÷ 投资成本) × 100
投资回报率有助于评估企业资金使用的有效性，常用于比较不同的投资机会。
Employee Retention Rate (%) = (Number of Employees Staying ÷ Total Number of Employees at Start) × 100
A high retention rate suggests satisfied staff, which reduces recruitment and training costs.
员工留任率 (%) = (留任员工数 ÷ 期初员工总数) × 100
留任率高说明员工满意，这能降低招聘和培训成本。
Using a combination of these formulas and concepts will help you analyse business performance and make reasoned judgements in your KS3 OCR assessments.
综合运用这些公式和概念，将有助于你在 KS3 OCR 考试中分析企业绩效并做出有理有据的判断。
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