📚 WJEC Business Formula & Theorem Quick Reference Guide | WJEC 商务公式定理速查手册
This quick reference guide brings together the essential formulas, theorems and quantitative techniques that every Year 10 WJEC Business student needs to master. Whether you are calculating profit, assessing liquidity or planning for break‑even, having these formulas at your fingertips will support confident analysis in classroom exercises and timed assessments. Each entry explains what the formula measures, how to use it correctly and why it matters in a real business context.
本速查手册汇集了每位 WJEC 商务 Year 10 学生必须掌握的核心公式、定理与量化分析方法。从利润计算、流动性评估到盈亏平衡规划，熟悉这些公式能帮助你在课堂练习和考试中自信地分析商业问题。每个条目都说明了公式衡量的是什么、如何正确使用以及它在真实商业环境中的意义。
1. Revenue Formula | 收入公式
Revenue is the total income a business receives from selling its goods or services over a period of time. It is the starting point for measuring financial performance and is sometimes called sales revenue or turnover. The calculation is straightforward but forms the basis of many other formulas, such as profit and break‑even output.
收入是企业在某段时间内销售产品或服务所获得的总收入，它是衡量财务绩效的起点，有时也被称为销售收入或营业额。计算方法简单直接，但它是利润、盈亏平衡产量等许多其他公式的基础。
Revenue = Selling Price per unit × Quantity Sold
Businesses can increase revenue by raising prices, selling more units, or doing both. However, price increases may reduce demand, so managers must understand price elasticity before changing selling prices. In WJEC exam questions, you often need to calculate revenue as a first step and then use the figure in profit or break‑even calculations.
企业可以通过提高单价、增加销量或两者并举来增加收入。但涨价可能会减少需求，因此在调整售价之前管理者需要了解价格弹性。在 WJEC 考试题中，你往往需要先计算收入，再将这一数值用于利润或盈亏平衡分析。
2. Total Costs and Unit Cost | 总成本与单位成本
Total costs represent the entire expense a business incurs when producing a given level of output. They are split into fixed costs (costs that do not change with output, such as rent and insurance) and variable costs (costs that vary directly with output, such as raw materials). Understanding cost behaviour is critical for pricing, profit planning and break‑even analysis.
总成本代表企业在生产一定数量产品时发生的全部支出，分为固定成本（不随产量变化的成本，如租金和保险）和变动成本（随产量直接变化的成本，如原材料）。理解成本习性是定价、利润规划与盈亏平衡分析的关键。
Total Costs = Total Fixed Costs + Total Variable Costs
Unit Cost (Average Cost) = Total Costs ÷ Quantity Produced
In WJEC Business, you are often given fixed and variable costs separately and asked to find total costs at a specific output level. The unit cost figure helps a business decide whether it can compete on price and still earn a profit.
在 WJEC 商务试题中，通常会分别给出固定成本和变动成本，要求计算特定产量下的总成本。单位成本数据帮助企业判断其能否在价格竞争的同时仍获得利润。
3. Profit Calculation | 利润计算
Profit is the financial reward a business earns when its total revenue exceeds its total costs. It is a fundamental measure of business success and can be calculated in absolute terms (total profit) or as a profit margin. A loss occurs when total costs are greater than total revenue.
利润是企业总收入超过总成本时获得的财务回报，它是衡量企业成功与否的基本指标，可以用绝对额（总利润）或者用利润率来表示。当总成本大于总收入时企业发生亏损。
Profit = Total Revenue − Total Costs
It is important to distinguish between gross profit and net profit. Gross profit only deducts the cost of sales, while net profit deducts all expenses including overheads, interest and tax. WJEC questions often ask you to calculate both and then comment on what the figures reveal about business efficiency.
区分毛利润与净利润非常重要：毛利润只扣减销售成本，而净利润扣减包括管理费用、利息和税费在内的所有支出。WJEC 试题常要求同时计算这两个指标，并据此评价企业效率。
4. Break‑Even Analysis | 盈亏平衡分析
Break‑even analysis identifies the level of sales at which a business covers all its costs but makes neither a profit nor a loss. It is especially useful for new businesses, product launches and investment decisions. The break‑even point can be calculated in units and in sales value.
盈亏平衡分析用于确定企业刚好覆盖全部成本、不盈不亏的销售水平。它对初创企业、新产品投放和投资决策特别有用。盈亏平衡点可以用实物量和销售收入额两种方式表示。
Break‑even Point (units) = Total Fixed Costs ÷ (Selling Price per unit − Variable Cost per unit)
Once the break‑even point is known, the margin of safety can be calculated. This shows how far sales can fall before the business starts making a loss and provides a buffer for unexpected downturns.
知道盈亏平衡点之后，就可以计算安全边际。安全边际表示销售量在达到亏损前还能下降多少，为企业应对意外下滑提供了缓冲。
Margin of Safety = Actual Sales − Break‑even Sales
In WJEC analysis questions, you may be required to interpret break‑even charts, calculate changes in the break‑even point when costs or prices change, and explain limitations such as the assumption that all output is sold.
在 WJEC 分析题中，你可能需要解读盈亏平衡图，计算成本或价格变动后的盈亏平衡点变化，并说明相关局限性，比如假设所有产品均能售出。
5. Gross Profit Margin | 毛利率
Gross profit margin expresses gross profit as a percentage of revenue. It shows how well a business controls its direct production costs and how much mark‑up it retains after paying for the cost of sales. A high gross profit margin generally indicates efficient production or strong pricing power.
毛利率将毛利润表示为收入的百分比，反映企业管理直接生产成本的能力以及在支付销售成本后保留的加价幅度。高毛利率通常表明生产效率高或定价能力强。
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100
When comparing two businesses or tracking performance over time, a declining gross profit margin can be a warning sign that material costs are rising or that the business is having to discount heavily. In WJEC case studies, you may be asked to evaluate strategies to improve this margin, such as sourcing cheaper suppliers or raising selling prices.
在比较两家企业或追踪业绩变化时，毛利率下降可能是一个警示信号：表明原材料成本上升或企业不得不大幅打折。在 WJEC 案例研究中，可能会要求你评估提升毛利率的策略，例如寻找更便宜的供应商或提高售价。
6. Net Profit Margin | 净利率
Net profit margin measures the percentage of revenue that remains as profit after all business expenses have been deducted, including overheads, financing costs and taxation. It is often seen as the ultimate measure of a firm’s overall profitability.
净利率衡量扣除包括管理费用、融资成本和税费在内的所有支出后，收入中剩余利润所占的百分比，通常被视为衡量企业整体盈利能力的最终指标。
Net Profit Margin = (Net Profit ÷ Revenue) × 100
Even if a business has a healthy gross profit margin, a low net profit margin may indicate high operational inefficiencies or excessive debt. WJEC analysis questions often ask you to compare gross and net profit margins to suggest where a business should cut costs or improve productivity.
即使一家企业拥有健康的毛利率，净利率偏低仍可能表明运营效率低下或债务过多。WJEC 分析题常要求比较毛利率与净利率，以指出企业应在何处削减成本或提高生产率。
7. Current Ratio | 流动比率
The current ratio is a liquidity ratio that assesses a business’s ability to pay its short‑term obligations using its short‑term assets. A ratio that is too low signals potential cash flow problems, while an excessively high ratio may suggest that resources are not being used efficiently.
流动比率是衡量企业用短期资产偿还短期债务能力的流动性比率。比率过低预示着潜在的现金流问题，而比率过高则可能表明资源利用效率不高。
Current Ratio = Current Assets ÷ Current Liabilities
Current assets typically include cash, inventory and trade receivables; current liabilities include overdrafts, trade payables and short‑term loans. A ratio between 1.5:1 and 2:1 is often considered comfortable, but this varies by industry. In WJEC contexts, you need to interpret the figure rather than simply state a rule of thumb.
流动资产通常包括现金、存货和应收账款；流动负债包括透支、应付账款和短期借款。一般认为流动比率在 1.5:1 到 2:1 之间较为安心，但这因行业而异。在 WJEC 语境中，你需要解读该数字，而非简单套用经验法则。
8. Acid Test Ratio | 速动比率
The acid test ratio (also called the quick ratio) is a stricter test of liquidity because it excludes inventory – the least liquid current asset. It reveals whether a business can meet its immediate liabilities without having to sell stock.
速动比率（亦称酸性测试比率）是对流动性更为严格的检验，因为它剔除了流动性最差的流动资产——存货。该比率揭示了企业能否在不依赖存货变现的情况下偿付即时债务。
Acid Test Ratio = (Current Assets − Inventories) ÷ Current Liabilities
A healthy acid test ratio is typically around 1:1, although lower values are common in retail where inventory turns over quickly. When WJEC examination papers provide current assets and a breakdown of inventory, you are expected to calculate and compare the current ratio and acid test ratio, commenting on the difference.
健康的速动比率通常在 1:1 左右，不过在存货周转快的零售行业中较低数值也很常见。当 WJEC 试卷提供流动资产及存货明细时，要求你计算并比较流动比率与速动比率，并评述其差异。
9. Return on Capital Employed (ROCE) | 资本回报率
ROCE measures the profitability of a business in relation to the long‑term capital invested in it. It is a key efficiency ratio that helps investors and managers judge how well the business is using its financial resources to generate profit.
资本回报率衡量企业相对于投入的长期资本所创造的盈利能力，是一项关键效率比率，有助于投资者和管理者判断企业利用财务资源创造利润的能力。
ROCE = (Operating Profit ÷ Capital Employed) × 100
Capital employed is often calculated as total assets minus current liabilities, or as shareholders’ equity plus long‑term debt. A rising ROCE suggests improving efficiency, whereas a falling ROCE may trigger strategic reviews. In WJEC Business, you are likely to calculate ROCE from a simplified balance sheet and discuss what the percentage means for stakeholders.
资本占用通常按总资产减去流动负债，或股东权益加长期负债计算。资本回报率上升表明效率提高，下降则可能引发战略评估。在 WJEC 商务中，你很可能需要根据简化的资产负债表计算 ROCE，并讨论该百分比对利益相关者的意义。
10. Labour Productivity | 劳动生产率
Labour productivity measures the output produced per employee over a given time period. It is a vital indicator of workforce efficiency and can influence unit costs, pricing and competitiveness. Improvements in productivity often come from training, better equipment or motivation strategies.
劳动生产率衡量单位时间内每位员工的产出水平，是反映劳动力效率的重要指标，并会影响单位成本、定价和竞争力。生产率的提高通常源于培训、设备改善或激励策略。
Labour Productivity = Total Output ÷ Number of Employees
WJEC case studies might present figures for two different years and ask you to calculate the percentage change in labour productivity. Managers use this information to decide whether investment in technology or human resources is paying off. Note that productivity is about output per worker, not about how hard people work – capital equipment also plays a large role.
WJEC 案例研究可能会给出两个不同年度的数据，并要求计算劳动生产率的变化百分比。管理者利用这一信息判断对技术或人力的投资是否获得回报。需要注意的是，生产率关注的是人均产出，而非工作勤奋程度——资本设备也起着重要作用。
11. Percentage Change | 百分比变化
Percentage change is one of the most frequently used quantitative tools in WJEC Business. It allows you to measure growth or decline in key variables such as revenue, profit, costs or productivity over time, making data comparable across different scales.
百分比变化是 WJEC 商务中最常用的量化工具之一，可以帮助你衡量收入、利润、成本或生产率等关键变量随时间增长或下降的幅度，使不同规模的数据具有可比性。
Percentage Change = [(New Value − Original Value) ÷ Original Value] × 100
When interpreting results, be careful with the direction: a positive result indicates growth, a negative one shows decline. In examination answers, always show your working and consider the business significance – for example, a 5% drop in revenue might be minor in a mature market but alarming in a high‑growth sector.
解读结果时需注意变化方向：正值表示增长，负值表示下降。在考试作答中，务必展示计算过程并考虑商业意义——例如，在成熟市场中收入下降 5% 或许影响不大，但在高增长行业可能令人忧虑。
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