📚 Year 9 OCR Business: Formula & Theorem Quick Reference Guide | Year 9 OCR 商务：公式定理速查手册
Welcome to the Year 9 OCR Business Formula & Theorem Quick Reference Guide. This handbook brings together the essential business formulas you will need for financial planning, operations analysis and decision-making. Whether you are revising for class tests or building foundational skills for GCSE, these equations will help you calculate everything from profit and break-even to liquidity and exchange rates. Keep this guide handy and practise applying each formula to real-world business scenarios.
欢迎使用 Year 9 OCR 商务公式定理速查手册。本手册汇集了您在财务规划、运营分析和决策中需要掌握的核心商务公式。无论您是为了课堂测验复习，还是为 GCSE 打基础，这些公式都将帮助您计算从利润、盈亏平衡到流动性和汇率的各种指标。请将此指南放在手边，并练习将每个公式应用于真实的商业情境中。
1. Revenue, Costs and Profit | 收入、成本和利润
Revenue is the income a business earns from selling products or services. It is the starting point for measuring financial performance and is calculated by multiplying the selling price per unit by the number of units sold.
收入是企业通过销售产品或服务赚取的所得。它是衡量财务表现的起点，通过单位售价乘以销售数量来计算。
Total Revenue = Price × Quantity
Total costs are the sum of all expenses a business incurs to produce and sell its goods. They can be split into fixed costs, which stay the same regardless of output, and variable costs, which change directly with the level of production.
总成本是企业为生产和销售商品所发生的全部开支。它们可分为固定成本（无论产量如何都保持不变）和变动成本（直接随生产水平变化）。
Total Costs = Fixed Costs + Variable Costs
Variable costs can be expressed as a per-unit amount. To find total variable costs, multiply the variable cost per unit by the quantity produced or sold.
变动成本可以表示为每单位的金额。将单位变动成本乘以生产或销售的数量，即可求出总变动成本。
Total Variable Costs = Variable Cost per Unit × Quantity
Profit is the difference between total revenue and total costs. A positive profit indicates the business is generating more income than it spends, while a loss occurs when costs exceed revenue.
利润是总收入与总成本之间的差额。正利润表明企业产生的收入多于支出，而当成本超过收入时则发生亏损。
Profit = Total Revenue − Total Costs
2. Contribution and Break-even | 贡献与盈亏平衡
Contribution measures how much each unit sold contributes towards covering fixed costs and generating profit. It is calculated by subtracting the variable cost per unit from the selling price per unit.
贡献衡量每售出一单位对覆盖固定成本和创造利润的贡献程度。它通过单位售价减去单位变动成本来计算。
Contribution per Unit = Selling Price per Unit − Variable Cost per Unit
Total contribution can be found by multiplying contribution per unit by the number of units sold, or by subtracting total variable costs from total revenue. This figure tells you how much money is available to pay fixed costs and then generate profit.
总贡献可以通过贡献每单位乘以销售数量，或从总收入中减去总变动成本来求得。该数字表明有多少资金可用于支付固定成本，然后产生利润。
Total Contribution = Contribution per Unit × Quantity
The break-even point is the level of output where total revenue equals total costs, so the business makes neither a profit nor a loss. It can be calculated in units by dividing total fixed costs by the contribution per unit.
盈亏平衡点是指总收入等于总成本、企业既不盈利也不亏损的产出水平。可以通过将总固定成本除以每单位贡献来计算盈亏平衡点（以单位计）。
Break-even Point (units) = Fixed Costs ÷ Contribution per Unit
To find the break-even point in terms of sales revenue, multiply the break-even quantity by the selling price per unit.
要计算以销售收入表示的盈亏平衡点，可将盈亏平衡数量乘以单位售价。
Break-even Revenue = Break-even Point (units) × Selling Price per Unit
Another way to express the relationship between contribution and profit is: when total contribution exceeds fixed costs, the business earns a profit. The formula below captures this principle.
另一种表达贡献与利润关系的方式是：当总贡献超过固定成本时，企业获得利润。下面的公式体现了这一原则。
Profit = Total Contribution − Fixed Costs
3. Margin of Safety | 安全边际
The margin of safety shows how much sales can fall before the business reaches its break-even point. A higher margin of safety means the business can withstand a drop in demand without making a loss.
安全边际表明销售额在达到盈亏平衡点之前可以下降多少。安全边际越高，意味着企业能够承受需求下降而不发生亏损。
Margin of Safety (units) = Actual Output − Break-even Output
This margin can also be expressed as a percentage of actual sales, which makes it easier to compare performance across time periods or products.
该边际也可以表示为实际销售额的百分比，这样更容易跨时期或跨产品比较业绩。
Margin of Safety (%) = (Margin of Safety ÷ Actual Output) × 100
If the actual output is 800 units and the break-even point is 600 units, the margin of safety is 200 units or 25 %. Managers use this measure to assess risk and plan production targets.
如果实际产量为 800 单位，盈亏平衡点为 600 单位，则安全边际为 200 单位或 25%。管理者使用这一指标来评估风险并规划生产目标。
4. Profit Margins | 利润率
Profit margins express profit as a percentage of revenue, helping businesses compare profitability across different sizes of operations. Gross profit margin focuses on the relationship between revenue and the direct cost of making products.
利润率将利润表示为收入的百分比，有助于企业比较不同经营规模下的盈利水平。毛利率重点关注收入与产品制造成本之间的关系。
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100
Gross profit is calculated by subtracting cost of sales from revenue. A high gross profit margin suggests a business is efficient at managing its production or purchasing costs.
毛利润通过收入减去销售成本来计算。较高的毛利率表明企业管理其生产或采购成本的效率较高。
Gross Profit = Revenue − Cost of Sales
Net profit margin takes all expenses into account, including overheads and interest. It reveals the percentage of revenue that remains as profit after every cost has been paid.
净利润率将所有费用考虑在内，包括运营开支和利息。它揭示了在支付了所有成本后，收入中留存为利润的百分比。
Net Profit Margin = (Net Profit ÷ Revenue) × 100
Net profit is what remains after deducting all operating expenses, taxes and other costs from gross profit. Both profit margins are key indicators of financial health.
净利润是从毛利润中扣除所有运营开支、税费和其他成本后剩余的部分。这两个利润率都是衡量财务健康状况的关键指标。
Net Profit = Revenue − Total Costs
5. Cash Flow Forecasting | 现金流预测
A cash flow forecast estimates the money flowing into and out of a business over a period. Net cash flow indicates whether the business has more cash coming in than going out during a specific month or quarter.
现金流预测是对一段时间内企业资金流入和流出的估计。净现金流表明在特定月份或季度内，企业的现金流入是否大于流出。
Net Cash Flow = Total Cash Inflows − Total Cash Outflows
The closing balance shows the cash available at the end of a period. It is found by adding the net cash flow to the opening balance. This figure then becomes the next period’s opening balance.
期末余额显示期末可用的现金金额。它是通过将净现金流加上期初余额得出的。该数字随后成为下一期的期初余额。
Closing Balance = Opening Balance + Net Cash Flow
Regular cash flow forecasting helps businesses avoid liquidity problems and ensure they have enough cash to pay bills, wages and suppliers on time.
定期进行现金流预测有助于企业避免流动性问题，并确保有足够的现金及时支付账单、工资和供应商款项。
6. Liquidity Ratios | 流动性比率
Liquidity ratios measure a firm’s ability to meet its short-term debts. The current ratio compares current assets to current liabilities and is a broad test of liquidity.
流动性比率衡量企业偿还短期债务的能力。流动比率将流动资产与流动负债进行比较，是一种广泛的流动性测试。
Current Ratio = Current Assets ÷ Current Liabilities
A healthy current ratio is typically between 1.5:1 and 2:1, but this varies by industry. A ratio below 1 suggests the business may struggle to pay its immediate obligations.
健康的流动比率通常在 1.5:1 到 2:1 之间，但这因行业而异。比率低于 1 表明企业可能难以偿付其即期债务。
The acid test ratio (also called the quick ratio) is a stricter measure because it excludes inventories, which can be harder to turn into cash quickly.
酸性测试比率（也称速动比率）是一种更严格的衡量指标，因为它排除了存货，存货较难迅速变现。
Acid Test Ratio = (Current Assets − Inventories) ÷ Current Liabilities
A result close to 1:1 is generally considered acceptable. Managers use these ratios to monitor financial stability and avoid overtrading.
结果接近 1:1 通常被认为是可接受的。管理者使用这些比率来监控财务稳定性并避免过度交易。
7. Interest Calculations | 利息计算
When a business borrows money or saves funds, it may earn or pay interest. Simple interest is calculated on the original principal amount. The formula multiplies the principal, the annual interest rate (as a decimal) and the number of years.
当企业借款或存款时，可能会赚取或支付利息。简单利息按原始本金计算。公式将本金、年利率（以小数表示）和年数相乘。
Simple Interest = Principal × Rate × Time
If the interest rate is given as a percentage, divide by 100 first. For example, a 5 % = 0.05. This calculation helps businesses forecast borrowing costs or returns on savings.
如果利率以百分比形式给出，请先除以 100。例如，5% 的利率意味着 Rate = 0.05。这一计算有助于企业预测借款成本或储蓄回报。
Total Repayment = Principal + Simple Interest
Understanding interest is essential when comparing loan offers or planning long-term investments. Always check whether the rate is simple or compound, but Year 9 typically focuses on simple interest.
在比较贷款方案或规划长期投资时，了解利息至关重要。务必检查利率是单利还是复利，但 Year 9 通常重点关注单利。
8. Market Share and Growth | 市场份额与增长
Market share indicates the portion of total industry sales a business captures. It is a key indicator of competitiveness and brand strength. The formula expresses a company’s sales as a percentage of total market sales.
市场份额表明一家企业占据行业总销售额的份额。它是衡量竞争力和品牌实力的关键指标。该公式将企业销售额表示为市场总销售额的百分比。
Market Share (%) = (Company Sales ÷ Total Market Sales) × 100
Market growth measures how much a market expands or contracts over time. It is calculated by comparing the change in market size to the original market size.
市场增长率衡量市场随时间扩大或收缩的程度。它通过比较市场规模变化与原始市场规模来计算。
Market Growth (%) = ((New Market Size − Old Market Size) ÷ Old Market Size) × 100
A positive growth rate signals a growing market where opportunities may exist, while a negative rate warns of a shrinking market. These formulas help businesses set realistic sales targets.
正增长率表明市场正在增长，可能存在机会；而负增长率则警示市场萎缩。这些公式有助于企业设定切合实际的销售目标。
9. Productivity and Unit Costs | 生产率与单位成本
Labour productivity measures the efficiency of the workforce. It tells the business how much output is produced on average by each employee. Improving productivity can lower unit costs and increase competitiveness.
劳动生产率衡量员工队伍的效率。它告诉企业平均每个员工产生了多少产出。提高生产率可以降低单位成本，增强竞争力。
Labour Productivity = Total Output ÷ Number of Employees
Unit cost is the total cost of producing one unit of output. It is a crucial figure for pricing decisions and profitability analysis. The formula divides total costs by the number of units produced.
单位成本是生产一个单位产出的总成本。它是定价决策和盈利能力分析的关键数据。公式将总成本除以生产数量。
Unit Cost = Total Costs ÷ Output
If a factory produces 5,000 items at a total cost of £10,000, the unit cost is £2. When productivity rises, the unit cost tends to fall, which can create higher profit margins or allow lower prices.
如果工厂以总成本 10,000 英镑生产 5,000 件商品，则单位成本为 2 英镑。当生产率提高时，单位成本往往下降，这可以创造更高的利润率或允许降低价格。
10. Exchange Rates and Currency Conversion | 汇率与货币兑换
Businesses that trade internationally need to convert money between currencies. An exchange rate tells you how much of one currency you can get for one unit of another. The basic conversion formula multiplies the amount in the home currency by the exchange
Published by TutorHao | Year 9 商务 Revision Series | aleveler.com
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