Year 11 CIE Business: Formula & Concept Quick Reference Handbook | Year 11 CIE 商务：公式定理速查手册

📚 Year 11 CIE Business: Formula & Concept Quick Reference Handbook | Year 11 CIE 商务：公式定理速查手册

This quick reference handbook compiles the essential formulas, ratios and business theories you need for the CIE IGCSE Business (0450) examination. Use it to review financial calculations, break-even analysis, motivation models, marketing metrics and operational efficiency – every key concept consolidated in one place.

本速查手册汇集了 CIE IGCSE 商务（0450）考试必备的核心公式、比率和商业理论，涵盖财务计算、盈亏平衡分析、激励模型、市场营销指标与运营效率，助你一站式高效复习。

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1. Financial Ratio Analysis | 财务比率分析

The current ratio assesses a firm’s ability to pay its short-term debts using its current assets. A ratio above 1 is generally considered safe.

Current Ratio = Current Assets ÷ Current Liabilities

流动比率衡量企业运用流动资产偿还短期债务的能力，通常高于1表明流动性充足。

The acid test (quick) ratio is a stricter liquidity measure that excludes inventory, which may not be quickly converted to cash.

Acid Test Ratio = (Current Assets – Inventory) ÷ Current Liabilities

速动比率（酸性测试比率）是更严格的流动性指标，排除了不易快速变现的存货。

Gross profit margin shows the percentage of revenue remaining after paying for the cost of goods sold. A higher margin indicates stronger pricing power or cost control.

Gross Profit Margin = (Gross Profit ÷ Revenue) × 100

毛利率表示销售收入扣除销售成本后剩余的百分比，利润率越高说明定价能力或成本控制越强。

Net profit margin measures the percentage of revenue that turns into net profit after all expenses, interest and tax.

Net Profit Margin = (Net Profit ÷ Revenue) × 100

净利润率衡量扣除所有费用、利息和税费后净收入占销售收入的百分比。

Return on Capital Employed (ROCE) evaluates how efficiently a business uses its long-term capital to generate operating profit. Capital employed can be calculated as total assets minus current liabilities, or as equity plus non-current liabilities.

ROCE = (Operating Profit ÷ Capital Employed) × 100

资本运用回报率（ROCE）评估企业利用长期资本产生经营利润的效率。资本运用额可用总资产减流动负债，或用股本加非流动负债计算。

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2. Break-even Analysis | 盈亏平衡分析

The break-even point is the level of output at which total revenue equals total costs, resulting in neither profit nor loss. It is found by dividing fixed costs by the contribution per unit.

Break-even Output (units) = Fixed Costs ÷ (Selling Price – Variable Cost per Unit)

盈亏平衡点是总收入等于总成本时的产量水平，此时利润为零。通过固定成本除以每单位贡献额（售价减单位变动成本）计算。

Contribution per unit shows how much each unit sold contributes towards covering fixed costs and then generating profit.

Contribution per Unit = Selling Price – Variable Cost per Unit

每单位贡献额表示每售出一单位产品对覆盖固定成本和产生利润的贡献。

The margin of safety indicates how far actual output exceeds the break-even output before the business starts making a loss.

Margin of Safety = Actual Output – Break-even Output

安全边际反映实际产量超过盈亏平衡产量的幅度，表示企业距离亏损还有多大缓冲。

Break-even revenue can also be calculated to show the sales value needed to break even.

Break-even Revenue = Fixed Costs ÷ (Contribution per Unit ÷ Selling Price)

盈亏平衡销售收入也可用于表示达到盈亏平衡所需的销售金额。

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3. Costs, Revenue & Profit | 成本、收入与利润

Total costs are the sum of all fixed and variable costs incurred in producing a given level of output.

Total Costs = Fixed Costs + Variable Costs

总成本是生产一定产量所发生的固定成本与变动成本之和。

Total revenue is the income received from selling goods or services.

Total Revenue = Selling Price × Quantity Sold

总收入是销售产品或服务所获得的全部收入。

Profit is the positive difference between total revenue and total costs.

Profit = Total Revenue – Total Costs

利润是总收入减去总成本后的正值差额。

An alternative profit formula using contribution highlights the role of fixed costs.

Profit = (Contribution per Unit × Quantity Sold) – Fixed Costs

利用贡献额计算的利润公式突出固定成本的作用：利润等于总贡献额减固定成本。

Average cost (unit cost) falls when output increases due to spreading fixed costs over more units.

Average Cost = Total Cost ÷ Units Produced

平均成本（单位成本）随着产量增加而下降，因为固定成本被分摊到更多单位产品上。

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4. Motivation Theories & Remuneration Formulas | 激励理论与薪酬公式

Time-rate pay rewards employees based on the number of hours worked.

Time-rate Wage = Hours Worked × Rate per Hour

计时工资按员工工作的小时数计算报酬。

Piece-rate pay links earnings directly to output, encouraging higher productivity.

Piece-rate Wage = Units Produced × Rate per Unit

计件工资将收入与产量直接挂钩，激励提高生产率。

Commission is a percentage of the sales value an employee generates, common in sales roles.

Commission = Sales Value × Commission Rate

佣金是员工按销售额的一定百分比获得的报酬，常用于销售岗位。

Labour productivity measures the efficiency of the workforce in turning inputs into outputs.

Labour Productivity = Total Output ÷ Number of Employees

劳动生产率衡量员工将投入转化为产出的效率。

Absenteeism and labour turnover are key indicators of workforce stability and motivation.

Absenteeism Rate = (Days Absent ÷ Total Working Days) × 100

Labour Turnover = (Number Leaving ÷ Average Number Employed) × 100

缺勤率与员工流失率是衡量员工队伍稳定性和激励程度的关键指标。

Taylor’s Scientific Management theory argues that workers are primarily motivated by money and that productivity improves through task specialisation and piece-rate payment systems.

泰勒的科学管理理论认为工人主要受金钱激励，通过工作专门化和计件工资制可以提高生产率。

Maslow’s Hierarchy of Needs suggests employees are motivated by five levels of needs, from basic physiological needs up to self-actualisation. A business should recognise that once a lower need is satisfied, the next level becomes a motivator.

马斯洛需求层次理论将员工需求分为五个层次，从基本生理需求到自我实现。企业应意识到较低层次的需求满足后，下一层次的需求才会产生激励作用。

Herzberg’s Two-Factor Theory distinguishes between hygiene factors (e.g. salary, working conditions) that prevent dissatisfaction, and motivators (e.g. recognition, responsibility) that truly drive performance.

赫茨伯格双因素理论区分了防止不满的保健因素（如工资、工作条件）和真正激励员工的激励因素（如认可、责任感）。

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5. Marketing & Pricing | 市场营销与定价

Market share indicates a firm’s proportion of total sales in a given market.

Market Share = (Firm’s Sales ÷ Total Market Sales) × 100

市场份额表示企业在特定市场总销售额中所占的比重。

Market growth measures the rate at which the total market size is expanding or contracting.

Market Growth = (Change in Market Size ÷ Original Market Size) × 100

市场增长率衡量整个市场规模扩大或缩小的速度。

Price elasticity of demand (PED) measures how responsive quantity demanded is to a change in price. A value greater than 1 indicates elastic demand (revenue rises when price falls), while a value less than 1 indicates inelastic demand.

PED = (% Change in Quantity Demanded) ÷ (% Change in Price)

需求价格弹性（PED）衡量需求量对价格变动的反应程度。大于1为富有弹性（降价增收），小于1为缺乏弹性。

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6. Production & Operations | 生产与运营

Labour productivity in production can be applied as an overall efficiency measure.

Labour Productivity = Total Output ÷ Number of Employees

生产中的劳动生产率可作为整体效率指标使用。

Capacity utilisation shows what percentage of a firm’s maximum possible output is actually being produced.

Capacity Utilisation = (Actual Output ÷ Maximum Possible Output) × 100

产能利用率反映企业实际产量占最大可能产量的百分比。

Inventory turnover measures how many times stock is sold and replaced over a period. A higher turnover suggests efficient stock management. Average inventory is often used.

Inventory Turnover = Cost of Goods Sold ÷ Average Inventory

Average Inventory = (Opening Inventory + Closing Inventory) ÷ 2

库存周转率衡量一定时期内库存售出和补充的次数，周转率越高通常意味着库存管理越高效。计算时常用平均库存。

Another common metric is the inventory

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