📚 GCSE CIE Business Studies: Formula Summary Handbook | GCSE CIE 商务：公式汇总手册
This comprehensive handbook consolidates all the essential formulas required for the CIE IGCSE Business Studies (0450) syllabus. Understanding and applying these formulas accurately is crucial for success in the examination, as numerical questions frequently appear across the finance and break-even topics. The document presents each formula with clear definitions and worked examples, enabling you to build confidence and avoid common mistakes.
本手册全面汇总了 CIE IGCSE 商务学 (0450) 考纲要求的所有核心公式。准确理解并运用这些公式对考试成功至关重要，因为财务与盈亏平衡分析等板块经常出现计算题。手册为每项公式提供了清晰的定义与示范，帮助你建立信心并规避常见错误。
1. Revenue, Cost and Profit Formulas | 收入、成本与利润公式
Revenue = Selling Price per Unit × Quantity Sold
Revenue is the total income generated from the sale of goods or services before any costs are deducted. It is sometimes called sales revenue or turnover and is recorded in the top line of the income statement.
收入是扣除任何成本之前通过销售商品或服务获得的总收益，也称为销售收入或营业额，列于利润表的第一行。
Total Costs = Fixed Costs + Variable Costs
Total costs represent the sum of all expenses incurred in producing and delivering the goods or services. Fixed costs do not change with output (e.g. rent), while variable costs vary directly with production volume (e.g. raw materials).
总成本代表生产和交付商品或服务所产生的全部费用之和。固定成本不随产量变化（如租金），而变动成本与产量直接相关（如原材料）。
Profit = Revenue − Total Costs
Profit is the financial gain obtained when revenue exceeds total costs. It is the key measure of business performance and can be broken down into gross profit and net profit for more detailed analysis.
利润是收入超过总成本后获得的财务收益，是衡量企业业绩的关键指标，并可进一步分解为毛利和净利进行详细分析。
2. Contribution and Break-even Analysis | 贡献毛利与盈亏平衡分析
Contribution per Unit = Selling Price per Unit − Variable Cost per Unit
Contribution per unit is the amount each unit sold contributes towards covering fixed costs after variable costs have been deducted. Once fixed costs are fully covered, any further contribution becomes profit.
单位贡献毛利是每售出一件产品在扣除变动成本后对固定成本的贡献额。一旦固定成本被完全覆盖，额外的贡献毛利即成为利润。
Break-even Point (units) = Total Fixed Costs ÷ Contribution per Unit
The break-even point in units shows the number of items the business must sell to have neither profit nor loss. At this output, total revenue equals total costs.
盈亏平衡点（以销量计）显示企业必须销售多少件产品才能不盈不亏。在该产量下，总收入等于总成本。
Break-even Point (£) = Break-even Units × Selling Price per Unit
This formula converts the break-even output into the sales value required to reach break-even. It is useful when comparing break-even performance against actual sales revenue.
该公式将盈亏平衡产量转换为达到盈亏平衡所需的销售额，便于将盈亏平衡表现与实际销售收入进行比较。
Margin of Safety = Actual Sales (units) − Break-even Sales (units)
The margin of safety indicates how much sales can fall before the business starts making a loss. A higher margin of safety reduces the risk of moving into a loss-making position.
安全边际显示在开始亏损之前销售额可以下降多少。较高的安全边际可以降低陷入亏损的风险。
3. Profitability Ratios: Gross Profit Margin and Net Profit Margin | 盈利能力比率：毛利率与净利率
Gross Profit = Revenue − Cost of Sales
Gross profit is the profit made after deducting the direct costs of producing goods or services (cost of sales) from revenue. It does not include other operating expenses.
毛利是从收入中扣除生产商品或服务的直接成本（销售成本）后的利润，不包括其他营业费用。
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100
The gross profit margin expresses gross profit as a percentage of revenue. It shows how efficiently a business manages its direct costs and can be compared across time periods and competitors.
毛利率将毛利表示为收入的百分比，显示企业管理直接成本的效率，并可与历史数据及竞争者进行对比。
Net Profit = Gross Profit − Expenses
Net profit is the final profit after all operating expenses, interest and tax have been deducted. It is often called the 'bottom line' and is available to shareholders or for reinvestment.
净利润是扣除了所有营业费用、利息和税款后的最终利润，常被称为“底线”，可供股东分红或再投资。
Net Profit Margin = (Net Profit ÷ Revenue) × 100
The net profit margin reveals the percentage of revenue that remains as profit after all costs have been paid. It is a strong indicator of overall cost control and profitability.
净利率揭示了支付所有成本后剩余利润占收入的百分比，是衡量整体成本控制和盈利能力的强有力指标。
4. Profitability Ratios: Return on Capital Employed (ROCE) | 盈利能力比率：资本回报率
Capital Employed = Total Assets − Current Liabilities
Capital employed represents the long-term funds invested in the business, including shareholders’ equity and non-current liabilities. It can also be calculated as equity plus non-current liabilities.
资本运用额代表投资于企业的长期资金，包括股东权益和非流动负债，也可用权益加非流动负债计算。
Return on Capital Employed (ROCE) = (Net Profit ÷ Capital Employed) × 100
ROCE measures how effectively a business generates profit from the capital invested in it. A higher ROCE indicates more efficient use of capital, making it a key ratio for investors and managers.
资本回报率衡量企业从所投资本中创造利润的效率。较高的 ROCE 表示资本利用效率更高，是投资者和管理者关注的关键比率。
5. Liquidity Ratios: Current Ratio and Acid Test Ratio | 流动性比率：流动比率与速动比率
Current Ratio = Current Assets ÷ Current Liabilities
The current ratio indicates a business’s ability to meet its short-term debts with its short-term assets. A ratio between 1.5 and 2 is often considered healthy, though acceptable levels vary by industry.
流动比率反映企业用短期资产偿付短期债务的能力。一般认为 1.5 至 2 之间较为健康，但可接受水平因行业而异。
Acid Test Ratio = (Current Assets − Inventories) ÷ Current Liabilities
Also known as the quick ratio, this measure excludes inventory from current assets because inventory may take time to convert into cash. A result of around 1 is usually seen as satisfactory.
也称为速动比率，该指标从流动资产中扣除存货，因为存货变现可能需要时间。结果接近 1 通常被视为理想状态。
6. Efficiency Ratios: Inventory Turnover | 效率比率：库存周转率
Average Inventory = (Opening Inventory + Closing Inventory) ÷ 2
Average inventory is used to smooth out seasonal fluctuations and provide a more accurate picture of how quickly stock is being sold throughout the year.
平均存货用于消除季节性波动，更准确地反映全年库存销售速度。
Inventory Turnover = Cost of Sales ÷ Average Inventory
This ratio shows how many times a business sells and replaces its inventory over a period, typically one year. A higher turnover suggests efficient stock management, whereas a very high rate may risk stock-outs.
该比率显示企业在一段时间（通常为一年）内销售和更新库存的次数。较高的周转率表明库存管理高效，但过高则可能面临缺货风险。
7. Efficiency Ratios: Trade Receivables Days and Trade Payables Days | 效率比率：应收账款与应付账款周转天数
Trade Receivables Days = (Trade Receivables ÷ Revenue) × 365
This ratio calculates the average number of days it takes for a business to collect cash from its credit customers. A shorter period improves cash flow, while an excessively long period may signal poor credit control.
该比率计算企业从赊销客户收回现金的平均天数。天数越短，现金流越好；天数过长则可能意味着信用控制不力。
Trade Payables Days = (Trade Payables ÷ Cost of Sales) × 365
Trade payables days measures how long, on average, a business takes to pay its suppliers. Extending this period can conserve cash, but delaying too long may harm supplier relationships and credit terms.
应付账款周转天数衡量企业平均需要多少天向供应商付款。延长该期限可节约现金，但拖延过久可能损害供应商关系与信用条款。
8. Other Key Calculations: Net Working Capital, Unit Cost, and Labour Productivity | 其他关键计算：净营运资本、单位成本与劳动生产率
Net Working Capital = Current Assets − Current Liabilities
Net working capital measures the short-term financial health of a business. A positive value indicates that the business can cover its short-term obligations and still have resources for day-to-day operations.
净营运资本衡量企业的短期财务健康状况。正值表明企业能够偿付短期债务并有资源维持日常运营。
Unit Cost = Total Costs ÷ Units Produced
The unit cost (or average cost per unit) is used to determine the price needed to cover costs and achieve a target profit margin. Efficient production methods tend to lower unit cost over time.
单位成本（或每单位平均成本）用于确定覆盖成本并实现目标利润率所需的价格。高效的生产方式长期可降低单位成本。
Labour Productivity = Output (units) ÷ Number of Employees
Labour productivity measures the output produced per worker in a given period. Rising labour productivity indicates that the workforce is becoming more efficient, often through training, technology or motivation.
劳动生产率衡量每名工人在给定时期内的产出。劳动生产率上升表明劳动力效率正在提高，通常源于培训、技术或激励措施。
9. Formula Summary Table | 公式汇总表
| Formula Name | Formula |
|---|---|
| Revenue | Selling Price per Unit × Quantity Sold |
| Total Costs | Fixed Costs + Variable Costs |
| Profit | Revenue − Total Costs |
| Contribution per Unit | Selling Price per Unit − Variable Cost per Unit |
| Break-even Point (units) | Total Fixed Costs ÷ Contribution per Unit |
| Break-even Point (£) | Break-even Units × Selling Price per Unit |
| Margin of Safety | Actual Sales (units) − Break-even Sales (units) |
| Gross Profit | Revenue − Cost of Sales |
| Gross Profit Margin | (Gross Profit ÷ Revenue) × 100 |
| Net Profit | Gross Profit − Expenses |
| Net Profit Margin | (Net Profit ÷ Revenue) × 100 |
| Capital Employed | Total Assets − Current Liabilities |
| ROCE | (Net Profit ÷ Capital Employed) × 100 |
| Current Ratio | Current Assets ÷ Current Liabilities |
| Acid Test Ratio | (Current Assets − Inventories) ÷ Current Liabilities |
| Average Inventory | (Opening Inventory + Closing Inventory) ÷ 2 |
| Inventory Turnover | Cost of Sales ÷ Average Inventory |
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