📚 Year 8 CAIE Business: Formula & Theorem Quick-Reference Handbook | Year 8 CAIE 商务：公式定理速查手册
This handbook provides a concise summary of the essential formulas and business theorems covered in the Year 8 CAIE Business syllabus. Mastering these calculations is crucial for analysing business performance, making informed decisions, and understanding financial statements. Each entry includes the core formula, a worked example, and an explanation of why the concept matters.
本手册概述了 Year 8 CAIE 商务课程所涵盖的核心公式和商业定理。掌握这些计算对于分析企业绩效、做出明智决策和理解财务报表至关重要。每个条目包含核心公式、应用实例以及对该概念重要性的解释。
The entries are arranged in the order in which they are usually taught: revenue and cost first, then profit, break-even and ratios. Read the formula, then the worked example, then the explanation - and always check the units in your final answer.
条目按通常的教学顺序排列：先收入与成本，再利润、盈亏平衡与各类比率。先读公式，再看例题，最后读解释——并且始终检查最终答案的单位。
1. Why Formulas Matter in Business Studies | 为什么商务课程需要公式
Business studies is often described as a words subject, but the strongest answers are built on numbers. A formula is simply a rule that links two or more business ideas together so that a manager can measure performance objectively instead of guessing.
商务课程常被视为文字类科目，但最有力的答案往往建立在数字之上。公式不过是把两个或多个商业概念连接起来的规则，让管理者能够客观地衡量绩效，而不是凭感觉猜测。
Every calculation in the Year 8 CAIE syllabus is built from four building blocks: how much a business sells (quantity), the price it charges, the costs it pays, and the profit it keeps. Once you understand these four ideas, every other formula becomes a rearrangement of them.
Year 8 CAIE 课程中的每一个计算都由四个基本要素构成：企业卖了多少（数量）、收取的价格、支付的成本，以及最终留下的利润。理解了这四个要素，其他公式都只是它们的重新组合。
Formulas also make comparison possible. A single figure such as £12,000 profit tells you very little on its own; the same figure becomes meaningful when it is compared with revenue, with last year, or with a competitor.
公式还让比较成为可能。单看 12,000 英镑利润这个数字，意义并不大；只有当它与收入、与去年、或与竞争对手进行比较时，才真正具备意义。
Quantity × Price → Revenue → Revenue − Costs → Profit
2. The Profit Formula | 利润公式
Profit is the financial reward a business earns when its total revenue exceeds its total costs. It is the fundamental measure of success and the primary objective of most private sector enterprises. Without profit, a business cannot survive, reinvest, or reward its owners.
利润是企业的总收入超过其总成本时所获得的财务回报。它是衡量成功的基本指标，也是大多数私营企业的主要目标。没有利润，企业就无法生存、再投资或回报其所有者。
The central equation of business finance links income and costs. A positive result means a surplus; a negative result signals a loss.
商业财务的核心等式将收入与成本联系起来。正数结果表示盈余；负数结果则表示亏损。
Profit = Total Revenue − Total Costs
For example, a small bakery sells cakes and bread, generating £6,000 in a month. The rent, ingredients, wages and utilities total £4,500. The profit for that month is £6,000 − £4,500 = £1,500.
例如，一家小面包店售卖蛋糕和面包，一个月产生 6,000 英镑收入。租金、原料、工资和水电费总计 4,500 英镑。当月利润为 6,000 英镑 − 4,500 英镑 = 1,500 英镑。
Why it matters: profit is essential for survival, growth, and attracting investment. Managers must constantly monitor both revenue streams and cost bases to keep this number healthy. Note also that profit is not the same as cash - a profitable business can still run out of money if customers pay late.
重要性：利润对企业的生存、增长和吸引投资至关重要。管理者必须持续监控收入来源和成本基础，以保持该数字健康。同时要注意，利润并不等于现金——如果客户付款延迟，一家盈利的企业仍可能资金枯竭。
3. Total Revenue Formula | 总收入公式
Total Revenue (or Sales Revenue) is the total income generated from selling goods or services before any costs are deducted. It is often called turnover and sits at the very top of the income statement.
总收入（或称销售收入）是在扣除任何成本之前，通过销售商品或服务所获得的全部收入。它常被称作营业额，位于利润表的最上方。
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