📚 GCSE OCR Business Formula Summary Handbook | GCSE OCR 商务：公式汇总手册
This handbook compiles all the essential formulas you need to master for GCSE OCR Business Studies. Understanding how to calculate and interpret these figures is vital for success in exams and real-world business analysis. Each formula is clearly defined and accompanied by a short explanation to help you apply it with confidence.
本手册汇总了 GCSE OCR 商务课程中所有必须掌握的核心公式。学会计算并解读这些数字，对于考试成功和实际的商业分析都至关重要。每个公式都配以清晰的定义和简短说明，帮助你有信心地运用它们。
1. Revenue, Total Costs and Profit | 收入、总成本与利润
Revenue is the income a business generates from selling its products or services. It is found by multiplying the selling price per unit by the number of units sold. Total costs are the sum of fixed costs and variable costs. Profit is the difference between total revenue and total costs.
收入是企业通过销售产品或服务获得的进账，等于单位售价乘以销售数量。总成本是固定成本与可变成本的总和。利润是总收入与总成本之间的差额。
Revenue = Selling Price per Unit × Quantity Sold
If a business sells 500 units at £10 each, revenue = £10 × 500 = £5,000.
如果企业以单价 10 英镑售出 500 件，则收入 = 10 × 500 = 5000 英镑。
Total Costs = Fixed Costs + Total Variable Costs
Fixed costs stay the same regardless of output, like rent. Total variable costs change with output, such as raw materials (variable cost per unit × quantity).
固定成本不随产量变化，如租金。总可变成本随产量变化，例如原材料（单位可变成本 × 数量）。
Profit = Total Revenue − Total Costs
Profit is the reward for taking risks. When total revenue exceeds total costs, the business makes a profit. If costs are higher, it makes a loss.
利润是对承担风险的回报。当总收入超过总成本时，企业盈利；如果成本更高，则出现亏损。
2. Break-even Output | 盈亏平衡产量
Break-even output is the number of units a business must sell to cover its total costs exactly, making neither a profit nor a loss. It uses the contribution per unit, which is the selling price minus variable cost per unit. The formula shows how many times the contribution must cover the fixed costs.
盈亏平衡产量是企业刚好覆盖总成本所需的销售数量，此时既不盈利也不亏损。它用单位贡献（售价减单位可变成本）来计算。这个公式表明需要用多少次单位贡献来补偿固定成本。
Break-even Output = Fixed Costs ÷ (Selling Price per Unit − Variable Cost per Unit)
If fixed costs are £20,000, selling price is £25 and variable cost is £15 per unit, then break-even output = £20,000 ÷ (£25 − £15) = £20,000 ÷ £10 = 2,000 units.
如果固定成本为 20000 英镑，售价为 25 英镑，单位可变成本为 15 英镑，则盈亏平衡产量 = 20000 ÷ (25−15) = 20000 ÷ 10 = 2000 件。
3. Contribution and Margin of Safety | 贡献毛利与安全边际
Contribution per unit shows how much each sale contributes towards fixed costs and profit after variable costs are covered. Margin of safety indicates how much sales can fall before the business reaches break-even, offering a cushion against risk.
单位贡献指的是每笔销售在覆盖可变成本后，能为固定成本和利润贡献多少钱。安全边际表示在达到盈亏平衡点之前销售量还可以下降多少，为抵御风险提供缓冲。
Contribution per Unit = Selling Price per Unit − Variable Cost per Unit
In the previous example, contribution per unit = £25 − £15 = £10.
在前一个例子中，单位贡献 = 25 − 15 = 10 英镑。
Margin of Safety = Actual Output − Break-even Output
If current sales are 3,000 units and break-even is 2,000 units, the margin of safety is 1,000 units. It can also be expressed as a percentage: (margin of safety ÷ actual output) × 100.
若当前销量为 3000 件，盈亏平衡点为 2000 件，则安全边际为 1000 件。也可用百分比表示： (安全边际 ÷ 实际销量) × 100。
4. Gross and Net Profit Margins | 毛利率与净利率
Profit margins measure how much profit is made relative to revenue. The gross profit margin focuses on profit after direct costs (cost of sales), while the net profit margin accounts for all expenses, including indirect costs and interest.
利润率衡量相对于收入的盈利水平。毛利率关注扣除直接成本（销售成本）后的利润，而净利率则考虑所有费用，包括间接成本和利息。
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100
Gross profit = Revenue − Cost of Sales. A rising gross margin suggests better control of direct costs or premium pricing.
毛利 = 收入 − 销售成本。毛利率上升，表明直接成本控制得更好，或实现了优质定价。
Net Profit Margin = (Net Profit ÷ Revenue) × 100
Net profit = Gross Profit − Expenses. This margin reveals overall efficiency after all operating costs, tax and interest.
净利润 = 毛利 − 费用。净利率反映了计入所有运营成本、税费和利息后的整体效率。
5. Average Rate of Return (ARR) | 平均回报率
Average rate of return measures the annual profitability of an investment as a percentage of its initial cost. It helps businesses compare different projects by showing the expected yearly return relative to the sum invested.
平均回报率衡量一项投资相对于初始成本的年盈利能力，用百分比表示。它能帮助企业比较不同项目，显示出相对于投资总额的预期年回报。
Average Rate of Return = (Average Annual Profit ÷ Initial Investment Cost) × 100
To find average annual profit, add up the total profits over the project’s life and divide by the number of years. For example, an investment costing £50,000 that generates total profits of £30,000 over 5 years has an average annual profit of £6,000. ARR = (£6,000 ÷ £50,000) × 100 = 12%.
要计算平均年利润，先把项目周期内的总利润相加，再除以年数。例如，一项投资成本为 50000 英镑，5 年内总利润为 30000 英镑，平均年利润为 6000 英镑。ARR = (6000 ÷ 50000) × 100 = 12%。
6. Net Cash Flow and Closing Balance | 净现金流与期末余额
Cash flow is the movement of money into and out of a business over a period. Net cash flow is the difference between cash inflows and outflows. The closing balance is the amount of cash the business holds at the end of a month, which then becomes the opening balance for the next period.
现金流是企业在一段时间内现金的流入与流出。净现金流是现金流入与流出之间的差额。期末余额是月末企业持有的现金量，它将成为下一期的期初余额。
Net Cash Flow = Cash Inflows − Cash Outflows
Cash inflows might include sales revenue, loans received, or sale of assets. Cash outflows include wages, rent, materials and tax. A positive net cash flow means more cash came in than went out.
现金流入可能包括销售收入、收到的贷款或资产出售。现金流出包括工资、租金、材料和税款。正的净现金流意味着流入的现金多于流出的现金。
Closing Balance = Opening Balance + Net Cash Flow
If a business starts the month with £5,000 and has a net cash flow of +£1,200, the closing balance will be £6,200.
如果一家企业月初持有 5000 英镑，当月净现金流为 +1200 英镑，则期末余额为 6200 英镑。
7. Labour Productivity | 劳动生产率
Labour productivity measures the output produced per worker over a given period. Higher productivity can reduce unit costs and increase competitiveness. It is influenced by training, technology and motivation.
劳动生产率衡量每位员工在一定时间内的产出。更高的生产率可以降低单位成本并增强竞争力。它受到培训、技术和激励的影响。
Labour Productivity = Output per Period ÷ Number of Employees
If a factory produces 50,000 units in a week with 100 workers, labour productivity = 50,000 ÷ 100 = 500 units per worker per week.
如果一家工厂一周生产 50000 件产品，有 100 名工人，则劳动生产率 = 50000 ÷ 100 = 每名工人每周 500 件。
8. Absenteeism and Labour Turnover | 缺勤率与员工流失率
These human resource metrics help a business monitor workforce stability and morale. High rates can indicate dissatisfaction, poor health, or management problems.
这两个人力资源指标有助于企业监测员工队伍的稳定性和士气。比率偏高可能表明存在不满情绪、健康状况不佳或管理问题。
Absenteeism Rate = (Number of Days Absent ÷ Total Working Days) × 100
If employees were absent for 120 days out of a total of 4,000 working days, absenteeism = (120 ÷ 4,000) × 100 = 3%.
如果员工缺勤 120 天，总工作天数为 4000 天，则缺勤率 = (120 ÷ 4000) × 100 = 3%。
Labour Turnover = (Number of Staff Leaving ÷ Average Number of Staff) × 100
Average number of staff is often calculated by adding the number of staff at the start and end of a period and dividing by two. A high turnover might point to poor working conditions or lack of career progression.
平均员工人数通常是将期初和期末员工数相加除以二得出。高流失率可能反映出工作条件差或缺乏职业发展机会。
9. Current Ratio and Acid Test Ratio | 流动比率与速动比率
Liquidity ratios assess a business’s ability to pay its short-term debts. The current ratio uses all current assets, whereas the acid test ratio (quick ratio) excludes inventory because it may not be quickly turned into cash.
流动性比率评估企业偿还短期债务的能力。流动比率使用所有流动资产，而速动比率则剔除存货，因为存货可能无法迅速变现。
Current Ratio = Current Assets ÷ Current Liabilities
A ratio between 1.5:1 and 2:1 is often considered healthy. Current assets include cash, receivables and inventory; current liabilities are debts due within one year.
比率在 1.5:1 至 2:1 之间通常被认为是健康的。流动资产包括现金、应收账款和存货；流动负债是一年内到期的债务。
Acid Test Ratio = (Current Assets − Inventory) ÷ Current Liabilities
This stricter test expects a ratio of at least 1:1 to ensure the firm can meet immediate obligations without selling inventory.
这项更严格的测试通常要求比率至少为 1:1，以确保企业无需出售存货就能履行即时债务。
10. Cost-plus Pricing | 成本加成定价
Many businesses set prices by adding a percentage mark-up to the cost of producing or buying a product. This method ensures each sale covers costs and contributes to profit. The mark-up percentage is applied to the unit cost.
许多企业通过在生产或采购成本上增加一个百分比加成来定价。这种方法确保每笔销售都能覆盖成本并贡献利润。加成百分比按照单位成本来计算。
Selling Price = Unit Cost × (1 + Mark-up Percentage)
If unit cost is £20 and the mark-up is 50%, selling price = £20 × 1.5 = £30. Note that mark-up is based on cost, while margin is based on selling price.
如果单位成本是 20 英镑，加成 50%，则售价 = 20 × 1.5 = 30 英镑。需注意加成是基于成本，而毛利率是基于售价。
11. Total Variable Costs | 总可变成本
Variable costs change in direct proportion to the level of output. Knowing total variable cost helps with break-even analysis and contribution calculations. It is simply the variable cost incurred for each unit multiplied by the total quantity produced.
可变成本与产量成正比变化。了解总可变成本有助于盈亏平衡分析和贡献计算。它只是每件产品产生的可变成本乘以生产的总数量。
Total Variable Cost = Variable Cost per Unit × Quantity
If a bakery uses £0.40 worth of flour for each loaf and bakes 10,000 loaves, total variable cost = £0.40 × 10,000 = £4,000.
如果一个面包店每条面包用 0.40 英镑的面粉，共烤制了 10000 条，总可变成本 = 0.40 × 10000 = 4000 英镑。
12. Summary and Mastery Tips | 总结与掌握技巧
To excel in OCR GCSE Business, do not just memorise the formulas; practise applying them to unfamiliar data, interpret the results, and think about what they mean for the business. Always include units, use percentages correctly, and double-check your arithmetic under timed conditions. Create a formula sheet of your own, test yourself regularly, and link every number to a business decision.
要想在 OCR GCSE 商务中取得优异成绩，不要仅仅死记公式；要练习将公式运用到陌生的数据中，解读结果，并思考它们对企业的意义。一定要写上单位，正确使用百分比，并在限时条件下仔细检查计算。制作自己的公式表，经常自测，并将每一个数字与商业决策联系起来。
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