📚 Year 7 SQA Business Formula & Theorem Quick Reference Handbook | 七年级 SQA 商务公式定理速查手册
Business studies at Year 7 in Scotland introduces key financial and operational concepts that underpin SQA qualifications. This quick reference handbook brings together the essential formulas, ratios, and key theorems you will use to calculate profit, monitor business health, and make decisions. From basic profit equations to break‑even analysis and liquidity ratios, each entry is paired with clear explanations in English and Chinese, helping you build a solid foundation for assignments, tests, and further Business Management studies.
在苏格兰七年级的商务课程中，学生开始接触支撑 SQA 资格考试的核心财务与运营概念。这本速查手册汇集了计算利润、监控企业健康状况以及辅助决策所必需的关键公式、比率和重要定理。从基本的利润公式到盈亏平衡分析再到流动性比率，每个条目都配有清晰的中英文解释，帮助你在作业、测验和未来的商务管理学习中打下坚实基础。
1. The Profit Formula | 利润公式
Profit is the most fundamental measure of business success. The simple formula is Profit = Total Revenue − Total Costs. If total revenue is greater than total costs, the business makes a profit; if costs exceed revenue, the business makes a loss. Understanding this equation helps Year 7 students see how every sale and expense affects the bottom line.
利润是衡量企业成功与否的最基本指标。简单公式为：利润 = 总收入 − 总成本。当总收入大于总成本时，企业实现盈利；若成本超过收入，则出现亏损。理解这一等式有助于七年级学生看清每一笔销售和每一笔支出如何影响最终盈亏。
Profit = Total Revenue − Total Costs
2. Total Revenue | 总收入
Total revenue (sometimes called sales turnover) measures the money a business receives from selling goods or services. The formula is Total Revenue = Selling Price per Unit × Quantity Sold. For example, if a bakery sells 200 cupcakes at £1.50 each, total revenue is £300. Tracking total revenue helps managers set targets and spot trends in customer demand.
总收入（有时也称销售额）衡量企业通过销售产品或服务获得的资金。公式为：总收入 = 单位售价 × 销售数量。例如，一家面包店以每个1.50英镑的价格售出200个纸杯蛋糕，总收入为300英镑。跟踪总收入有助于管理者设定目标并发现顾客需求的变化趋势。
Total Revenue (TR) = Price per Unit × Quantity Sold
3. Total Costs | 总成本
Total costs include everything a business spends to produce and deliver its products. They are split into fixed costs (which do not change with output, such as rent and insurance) and variable costs (which vary directly with output, such as raw materials and packaging). The formula is Total Costs = Fixed Costs + Variable Costs. For Year 7 learners, this split is vital when working out break‑even points or setting prices.
总成本包括企业为生产和交付产品所花费的全部支出，分为固定成本（不随产量变化，如租金和保险）和变动成本（随产量直接变化，如原材料和包装）。公式为：总成本 = 固定成本 + 变动成本。对七年级学生而言，这一划分在计算盈亏平衡点或设定价格时至关重要。
Total Costs (TC) = Fixed Costs (FC) + Variable Costs (VC)
4. Contribution per Unit | 单位贡献
Contribution per unit shows how much each sale contributes towards covering fixed costs and then generating profit. It is calculated as Contribution per Unit = Selling Price per Unit − Variable Cost per Unit. Once enough units have been sold to cover all fixed costs, the remaining contribution becomes pure profit. This concept is the backbone of break‑even analysis.
单位贡献表明每一笔销售能为分摊固定成本并创造利润做出多少贡献。其计算公式为：单位贡献 = 单位售价 − 单位变动成本。一旦售出足够多的产品来覆盖所有固定成本，剩余的贡献就完全转化为利润。这一概念是盈亏平衡分析的基础。
Contribution per Unit = Selling Price − Variable Cost per Unit
5. Break‑even Point (Units) | 盈亏平衡点（数量）
The break‑even point is the number of units a business must sell to cover all costs — at this point, profit is exactly zero. The formula in units is Break‑even Point (units) = Fixed Costs ÷ Contribution per Unit. For instance, if fixed costs are £2,000 and each unit contributes £5, the break‑even point is 400 units. Break‑even analysis helps entrepreneurs decide whether a venture is viable and how many sales are needed to start making a profit.
盈亏平衡点是指企业为覆盖所有成本而必须销售的产品数量——此时利润正好为零。以数量计算的公式为：盈亏平衡点（数量）= 固定成本 ÷ 单位贡献。例如，若固定成本为2,000英镑，每单位贡献为5英镑，则盈亏平衡点为400件。盈亏平衡分析有助于创业者判断项目是否可行，以及需要完成多少销量才能开始盈利。
Break‑even Point (units) = Fixed Costs ÷ Contribution per Unit
6. Break‑even Point (Sales Value) | 盈亏平衡点（销售额）
Sometimes it is more useful to know the break‑even point in money terms. The sales value formula is Break‑even Sales Revenue = Break‑even Units × Selling Price per Unit. Alternatively, you can use the contribution margin ratio: Break‑even Sales = Fixed Costs ÷ (Contribution per Unit ÷ Selling Price). Both methods tell managers the target turnover needed to avoid a loss.
有时，以金额表示的盈亏平衡点更为有用。销售额公式为：盈亏平衡销售额 = 盈亏平衡数量 × 单位售价。或者，你也可以使用贡献率：盈亏平衡销售额 = 固定成本 ÷（单位贡献 ÷ 售价）。两种方法都能告诉管理者需要实现多少目标营业额才能避免亏损。
Break‑even Sales = Break‑even Units × Selling Price
7. Margin of Safety | 安全边际
Margin of safety measures how far actual or budgeted sales are above the break‑even point. It is calculated as Margin of Safety (units) = Actual Sales − Break‑even Sales. A larger margin of safety means the business can withstand a drop in sales before it starts making a loss. This indicator gives owners and managers a cushion of confidence when planning for the future.
安全边际衡量实际或预算销售额高于盈亏平衡点的程度。计算公式为：安全边际（数量）= 实际销量 − 盈亏平衡销量。安全边际越大，意味着企业能够承受更大程度的销售下滑才出现亏损。这一指标为经营者在未来规划时提供了缓冲信心。
Margin of Safety = Actual Sales (units) − Break‑even Sales (units)
8. Gross Profit and Gross Profit Margin | 毛利润与毛利率
Gross profit shows the profit made after deducting the direct costs of production (cost of sales). The formula is Gross Profit = Sales Revenue − Cost of Sales. To compare profitability across businesses or periods, the gross profit margin is used: Gross Profit Margin (%) = (Gross Profit ÷ Sales Revenue) × 100. A high margin suggests the business adds significant value or has strong pricing power.
毛利润反映扣除直接生产成本（销售成本）后的利润。公式为：毛利润 = 销售收入 − 销售成本。为了在不同企业或时期之间比较盈利能力，通常使用毛利率：毛利率(%) =（毛利润 ÷ 销售收入）× 100。毛利率高表明企业附加值大或具有较强的定价能力。
Gross Profit = Sales Revenue − Cost of Sales
Gross Profit Margin = (Gross Profit ÷ Sales Revenue) × 100%
| Example Item | Amount (£) |
|---|---|
| Sales Revenue | 50,000 |
| Cost of Sales | 30,000 |
| Gross Profit | 20,000 |
| Gross Profit Margin | (20,000÷50,000)×100 = 40% |
9. Net Profit and Net Profit Margin | 净利润与净利率
Net profit takes all business expenses into account. It is found by subtracting all operating expenses (e.g. rent, salaries, marketing) from gross profit. The formula is Net Profit = Gross Profit − Expenses. Net profit margin then shows what percentage of each pound of sales stays as final profit: Net Profit Margin (%) = (Net Profit ÷ Sales Revenue) × 100. This tells owners how efficiently the business is being run overall.
净利润则考虑了所有业务费用。它是从毛利润中扣除全部营业费用（如租金、工资、营销费）后得出的。公式为：净利润 = 毛利润 − 费用。净利率则表明每一英镑销售收入中最终保留为利润的百分比：净利率(%) =（净利润 ÷ 销售收入）× 100。这能让经营者了解企业整体运营效率如何。
Net Profit = Gross Profit − Expenses
Net Profit Margin = (Net Profit ÷ Sales Revenue) × 100%
10. Current Ratio | 流动比率
The current ratio measures a firm’s ability to pay short‑term debts with its short‑term assets. It is expressed as Current Ratio = Current Assets ÷ Current Liabilities. A ratio of between 1.5 and 2.0 is often considered healthy; below 1.0 could signal liquidity problems. Year 7 students can use this ratio to comment on whether a business can meet its upcoming bills without strain.
流动比率衡量企业用短期资产偿付短期债务的能力，表达为：流动比率 = 流动资产 ÷ 流动负债。比率在1.5至2.0之间通常被视为健康；低于1.0则可能预示流动性问题。七年级学生可利用这一比率判断企业能否从容支付到期的账单。
Current Ratio = Current Assets ÷ Current Liabilities
11. Quick Ratio (Acid Test) | 速动比率（酸性测试）
The quick ratio gives a stricter view of liquidity by removing inventory (stock) from current assets, since stock cannot always be turned into cash quickly. The formula is Quick Ratio = (Current Assets − Inventories) ÷ Current Liabilities. A result of 1.0 or above suggests the business can pay immediate debts without relying on selling inventory. It is especially important for firms with slow‑moving stock.
速动比率通过从流动资产中剔除存货来更严格地衡量流动性，因为存货并不总能迅速转化为现金。公式为：速动比率 =（流动资产 − 存货）÷ 流动负债。结果大于或等于1.0表明企业无需依赖出售存货即可偿还即期债务。这对存货周转慢的企业尤为重要。
Quick Ratio = (Current Assets − Inventories) ÷ Current Liabilities
12. Theorem: The Break‑even Principle | 定理：盈亏平衡原理
This key business theorem states that a firm must generate enough total contribution to cover all its fixed costs before it can earn a profit. In other words, profit = total contribution − fixed costs. This principle underpins every break‑even chart and teaches students that fixed costs are the hurdle a business must clear. Once that hurdle is crossed, each extra sale adds directly to net profit.
这条关键的商务定理指出：企业必须先产生足够的贡献总额来覆盖全部固定成本，然后才能获得利润。换言之，利润 = 总贡献 − 固定成本。该原理支撑着每一张盈亏平衡图，并让学生明白固定成本是企业必须逾越的障碍。一旦越过这道障碍，每多销售一件产品就能直接增加净利润。
Profit = (Contribution per Unit × Units Sold) − Fixed Costs
该定理与盈亏平衡公式紧密相连：当总贡献恰好等于固定成本时，利润为零，即实现盈亏平衡。这就是为什么理解贡献和固定成本的关系是掌握财务决策的钥匙。
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