📚 Year 8 OCR Business Quick Reference to Formulas and Principles | 八年级OCR商务：公式定理速查手册
Welcome to your essential quick-reference guide for Year 8 OCR Business. This handbook brings together all the key formulas, rules, and fundamental principles you will meet during the course. From calculating revenue and profit to understanding break‑even and cash flow, each section is designed to help you revise efficiently and build confidence before tests.
欢迎使用这本八年级OCR商务的核心速查手册。本手册汇集了课程中所有关键的公式、规则和基本原理。从计算收入、利润到理解盈亏平衡和现金流，每个小节都旨在帮助你高效复习，并在考试前树立信心。
1. Revenue and Sales Formula | 收入与销售额公式
Revenue measures the money a business brings in from selling its products or services before any costs are taken away. It is found by multiplying the number of items sold by the selling price of each item.
收入衡量企业在扣除任何成本之前通过销售产品或服务所获得的资金。其计算方式是将售出的商品数量乘以每件商品的售价。
Revenue = Selling price per unit × Quantity sold
For example, if a bakery sells 450 cupcakes in a week at £2.50 each, its weekly revenue is £2.50 × 450 = £1,125. Businesses track revenue to see if sales are growing.
例如，如果一家面包店一周售出450个纸杯蛋糕，单价为2.50英镑，那么其周收入为2.50 × 450 = 1,125英镑。企业通过追踪收入来判断销售是否在增长。
2. Total Costs = Fixed Costs + Variable Costs | 总成本 = 固定成本 + 可变成本
Total costs represent all the money a business spends. They are split into fixed costs, which stay the same regardless of output (e.g. rent, insurance), and variable costs, which change directly with how much is produced (e.g. raw materials, piece‑rate wages).
总成本代表企业所有的支出。成本分为固定成本（无论产出如何都保持不变，如租金、保险）和可变成本（直接随产量变化，如原材料、计件工资）。
Total Costs = Fixed Costs + Variable Costs
If a clothing workshop pays £1,200 rent and £3 per shirt for fabric, making 300 shirts gives total costs of £1,200 + (£3 × 300) = £2,100. Understanding this breakdown helps managers control spending.
假如一家服装作坊支付1,200英镑租金，每件衬衫布料成本3英镑，那么生产300件衬衫的总成本为1,200 + (3 × 300) = 2,100英镑。理解这种成本分解有助于管理者控制开支。
3. Profit = Revenue – Total Costs | 利润 = 收入 – 总成本
Profit is the reward a business earns for taking risks. It is what remains after all costs have been deducted from revenue. A positive profit signals that a business is viable; a negative profit means a loss.
利润是企业承担风险所获得的回报。它是从收入中扣除所有成本后所剩余的部分。正利润表明企业可行，负利润则意味着亏损。
Profit = Revenue – Total Costs
Suppose a games stall at a fair takes £800 in ticket sales and has total costs of £620. Its profit is £800 – £620 = £180. Entrepreneurs aim to maximise profit by raising revenue or cutting costs.
假设游乐场的一个游戏摊位获得800英镑门票收入，总成本为620英镑。其利润为800 – 620 = 180英镑。企业家通过提高收入或削减成本来最大化利润。
4. Break‑even Point (Units) | 盈亏平衡点（单位）
The break‑even point tells a business how many units it must sell to cover all its costs exactly, without making a loss or a profit. It is a crucial planning tool for new products and start‑ups.
盈亏平衡点告诉企业必须销售多少件产品才能恰好覆盖所有成本，既不亏损也不盈利。它是新产品和初创企业至关重要的规划工具。
Break‑even point (units) = Fixed Costs ÷ (Selling price per unit – Variable cost per unit)
The part in brackets is called contribution per unit. For a phone case maker with fixed costs of £5,000, a selling price of £18 and a variable cost of £8, contribution is £10, so break‑even = £5,000 ÷ £10 = 500 cases.
括号内的部分称为单位贡献。对于一家固定成本5,000英镑、售价18英镑、单位可变成本8英镑的手机壳制造商，贡献为10英镑，因此盈亏平衡点 = 5,000 ÷ 10 = 500个手机壳。
5. Gross Profit Margin | 毛利率
Gross profit margin reveals how much money a business keeps from sales after paying for the direct costs of the goods it sells (cost of sales). It shows the efficiency of production and pricing before other overheads.
毛利率揭示企业在支付所售商品的直接成本（销售成本）后，从销售中保留了多少资金。它显示了在扣除其他间接费用之前，生产和定价的效率。
Gross Profit Margin = [(Revenue – Cost of Sales) ÷ Revenue] × 100%
A higher gross margin means more money is left to cover fixed costs and generate profit. If a furniture shop has revenue of £40,000 and cost of sales of £24,000, its gross margin is [(£40,000 – £24,000) ÷ £40,000] × 100% = 40%.
毛利率越高，意味着留下用于覆盖固定成本和创造利润的资金越多。如果一家家具店收入为40,000英镑，销售成本为24,000英镑，其毛利率为 [(40,000 – 24,000) ÷ 40,000] × 100% = 40%。
6. Net Profit Margin | 净利润率
Net profit margin gives the final picture of profitability after all expenses – including rent, salaries, marketing and interest – have been subtracted. It is the true ‘bottom line’ for a business.
净利润率展现了扣除所有费用（包括租金、工资、营销和利息）后的最终盈利状况。它是企业真正的’底线’。
Net Profit Margin = (Net Profit ÷ Revenue) × 100%
A low net profit margin could mean costs are too high or pricing is too low. Even a small percentage improvement can significantly boost overall profit.
较低的净利润率可能意味着成本过高或定价过低。即使百分比的微小提升也能显著增加整体利润。
7. Cash Flow Forecast | 现金流预测
Cash flow is the movement of money into and out of a business’s bank account. A cash flow forecast estimates future inflows (receipts) and outflows (payments) to help a business avoid running out of cash.
现金流是指资金进出企业银行账户的流动。现金流预测通过估算未来的流入（收入）和流出（支出），帮助企业避免资金耗尽。
Net Cash Flow = Total Inflows – Total Outflows
Closing Balance = Opening Balance + Net Cash Flow
For a month, if a shop starts with £1,000, receives £5,200 from customers and pays out £4,600, net cash flow is £600 and the closing balance becomes £1,600. A healthy cash flow is vital for survival.
某月，如果一家店铺期初余额为1,000英镑，收到客户款项5,200英镑，支出4,600英镑，则净现金流为600英镑，期末余额变为1,600英镑。健康的现金流对生存至关重要。
8. Simple Interest Formula | 单利公式
Businesses sometimes borrow money from a bank and need to pay interest. Simple interest is calculated only on the original amount borrowed, known as the principal.
企业有时会从银行借款，并需要支付利息。单利仅按原始借款金额（本金）计算。
Interest = Principal × Rate × Time
The rate must be written as a decimal (e.g., 6% = 0.06) and time is measured in years. Borrowing £3,000 at 5% simple interest for 3 years costs £3,000 × 0.05 × 3 = £450 of interest.
利率须转换为小数（例如6% = 0.06），时间以年为单位。以5%的单利借款3,000英镑，期限3年，利息为3,000 × 0.05 × 3 = 450英镑。
9. Percentage Change in Price or Demand | 价格或需求的百分比变化
Percentage change is a powerful tool for comparing growth or decline in sales, costs or market demand. It expresses the difference between an old and a new value as a proportion of the original figure.
百分比变化是比较销售额、成本或市场需求增长与下降的有力工具。它将旧值与新值之间的差异表示为原始数值的比例。
Percentage Change = [(New Value – Old Value) ÷ Old Value] × 100%
If a cinema’s ticket sales rise from 1,200 to 1,500 tickets, the percentage change is [(1,500 – 1,200) ÷ 1,200] × 100% = 25%. This formula also works for price rises and falls.
如果一家电影院的售票量从1,200张增至1,500张，百分比变化为 [(1,500 – 1,200) ÷ 1,200] × 100% = 25%。该公式同样适用于价格涨跌。
10. Law of Demand and Law of Supply | 需求定律与供给定律
The law of demand states that when the price of a product rises, consumers usually buy less of it – and when the price falls, they buy more. The law of supply says that producers are willing to supply more of a good when its price increases, as higher prices can lead to higher profits.
需求定律指出，当产品价格上涨时，消费者通常会减少购买；当价格下跌时，则会增加购买。供给定律表明，当商品价格上涨时，生产者愿意提供更多，因为高价格可能带来更高的利润。
These two principles interact to determine the market price. A business must study demand and supply to set the right price and anticipate how customers might react to changes.
这两个原则相互作用以决定市场价格。企业必须研究需求与供给，以制定合适的价格，并预判顾客对价格变动的反应。
11. Budgeting Principle | 预算原则
A budget is a financial plan that sets expected incomes and spending limits for a specific period. The core principle is to keep expenditure within the limits of forecast income, preventing unnecessary debt.
预算是设定了特定时期预期收入和支出限额的财务计划。其核心原则是将支出控制在预测收入范围内，以避免不必要的债务。
Budget Variance = Budgeted Income – Budgeted Expenditure
If a school tuck shop budgets £2,000 of income and £1,750 of costs, the planned surplus is £250. Regular budget reviews help managers spot problems early and adjust spending.
如果一家学校小卖部预算收入2,000英镑，预算成本1,750英镑，那么计划盈余为250英镑。定期审查预算有助于管理者及早发现问题并调整支出。
12. Exchange Rate Calculation | 汇率换算
When a business imports or exports goods, it must change money from one currency to another. The exchange rate tells you how much of one currency you can buy with a unit of another.
当企业从事进出口贸易时，必须将一种货币兑换成另一种货币。汇率告诉你一个单位的某种货币可以购买多少另一种货币。
Amount in Foreign Currency = Amount in Home Currency × Exchange Rate
If the exchange rate is £1 = €1.15 and a UK business needs to pay a German supplier €4,600, it must convert £4,000 because £4,000 × 1.15 = €4,600. Exchange rate changes can affect profits significantly.
如果汇率为1英镑 = 1.15欧元，一家英国企业需要向德国供应商支付4,600欧元，则必须兑换4,000英镑，因为4,000 × 1.15 = 4,600欧元。汇率变动会显著影响利润。
Published by TutorHao | Business Revision Series | aleveler.com
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