GCSE CIE Business: Calculation Practice Training | GCSE CIE 商务：计算题专项训练

📚 GCSE CIE Business: Calculation Practice Training | GCSE CIE 商务：计算题专项训练

Mastering quantitative skills is vital for success in CIE IGCSE Business (0450). This article focuses on typical calculation questions found in exams, from revenue and costs to profitability ratios and cash flow. Practise these formulas and methods to boost your confidence.

掌握计算技能对于在 CIE IGCSE 商务（0450）考试中取得好成绩至关重要。本文聚焦考试中常见的计算题，涵盖收益、成本、盈利比率和现金流转等。通过练习这些公式和方法，增强你的信心。

1. Total Revenue and Total Costs | 总收益与总成本

Total Revenue (TR) = Price per unit × Quantity sold. Total Costs (TC) = Fixed Costs + Total Variable Costs, where Total Variable Costs = Variable cost per unit × Quantity.

总收益（TR）= 每单位价格 × 销售量。总成本（TC）= 固定成本 + 总可变成本，其中总可变成本 = 每单位可变成本 × 销售量。

Example: A firm sells 500 units at £20 each. Fixed costs are £3,000 and variable cost per unit is £8. Calculate TR and TC.

示例：一家企业以每件 £20 的价格出售 500 件产品。固定成本 £3,000，单位可变成本 £8。计算 TR 和 TC。

TR = 500 × £20 = £10,000.
TC = £3,000 + (500 × £8) = £3,000 + £4,000 = £7,000.

TR = 500 × £20 = £10,000。
TC = £3,000 + (500 × £8) = £3,000 + £4,000 = £7,000。

2. Profit or Loss | 利润或亏损

Profit (or Loss) = Total Revenue − Total Costs. A positive result means profit; a negative result indicates a loss.

利润（或亏损）= 总收益 − 总成本。正数表示盈利，负数表示亏损。

Using the previous figures: Profit = £10,000 − £7,000 = £3,000.

沿用上面的数据：利润 = £10,000 − £7,000 = £3,000。

3. Average Cost per Unit | 单位平均成本

Average cost (or unit cost) = Total Costs ÷ Quantity produced. This tells you how much it costs to make one unit on average.

平均成本（或单位成本）= 总成本 ÷ 产量。它表示平均生产一件产品需要多少成本。

Example: TC = £7,000, Quantity = 500 units.
Average cost = £7,000 ÷ 500 = £14 per unit.

示例：TC = £7,000，产量 500 件。
平均成本 = £7,000 ÷ 500 = 每件 £14。

4. Contribution and Break-even Point (Units) | 贡献与盈亏平衡点（单位）

Contribution per unit = Selling price − Variable cost per unit. It helps cover fixed costs and generate profit.

单位贡献 = 售价 − 单位可变成本。它用于覆盖固定成本和创造利润。

Break-even point in units = Fixed Costs ÷ Contribution per unit. At break-even, Total Revenue = Total Costs (profit = £0).

盈亏平衡点（单位）= 固定成本 ÷ 单位贡献。在盈亏平衡点，总收益 = 总成本（利润为零）。

Example: Price £20, variable cost £8, fixed costs £3,000.
Contribution per unit = £20 − £8 = £12.
Break-even units = £3,000 ÷ £12 = 250 units.

示例：售价 £20，单位可变成本 £8，固定成本 £3,000。
单位贡献 = £20 − £8 = £12。
盈亏平衡点（单位）= £3,000 ÷ £12 = 250 件。

Break-even (units) = Fixed Costs ÷ (Selling price − Variable cost per unit)

盈亏平衡点（单位）= 固定成本 ÷ (售价 − 单位可变成本)

5. Break-even Revenue and Margin of Safety | 盈亏平衡收益与安全边际

Break-even revenue = Break-even units × Selling price. This shows the sales value needed to break even.

盈亏平衡收益 = 盈亏平衡点（单位）× 售价。它表示达到收支平衡所需要的销售金额。

Margin of safety (units) = Actual output (or sales) − Break-even units. It shows how much sales can fall before the business makes a loss. It can also be expressed in revenue.

安全边际（单位）= 实际产量（或销售量）− 盈亏平衡点（单位）。它表明销售量可以下降多少而不至于亏损。也可用销售额表示。

Example: BEP = 250 units, price = £20, actual sales = 500 units.
Break-even revenue = 250 × £20 = £5,000.
Margin of safety (units) = 500 − 250 = 250 units.
Margin of safety (revenue) = 250 × £20 = £5,000.

示例：BEP = 250 件，售价 £20，实际销售 500 件。
盈亏平衡收益 = 250 × £20 = £5,000。
安全边际（单位）= 500 − 250 = 250 件。
安全边际（收益）= 250 × £20 = £5,000。

6. Gross Profit Margin | 毛利率

Gross profit = Revenue − Cost of Sales. Gross profit margin = (Gross Profit ÷ Revenue) × 100%. It measures how much gross profit is made per £1 of sales.

毛利润 = 收益 − 销售成本。毛利率 = (毛利润 ÷ 收益) × 100%。它衡量每一英镑销售收入能产生多少毛利润。

Example: Revenue £50,000, Cost of sales £30,000. Gross profit = £50,000 − £30,000 = £20,000.
Gross profit margin = (£20,000 ÷ £50,000) × 100% = 40%.

示例：收益 £50,000，销售成本 £30,000。毛利润 = £50,000 − £30,000 = £20,000。
毛利率 = (£20,000 ÷ £50,000) × 100% = 40%。

7. Net Profit Margin | 净利率

Net profit = Gross profit − Expenses. Net profit margin = (Net Profit ÷ Revenue) × 100%. It shows the overall profitability after all costs.

净利润 = 毛利润 − 费用。净利率 = (净利润 ÷ 收益) × 100%。它反映扣除所有成本后的整体盈利水平。

Example: Gross profit £20,000, Expenses £5,000. Net profit = £20,000 − £5,000 = £15,000.
Net profit margin = (£15,000 ÷ £50,000) × 100% = 30%.

示例：毛利润 £20,000，费用 £5,000。净利润 = £20,000 − £5,000 = £15,000。
净利率 = (£15,000 ÷ £50,000) × 100% = 30%。

8. Return on Capital Employed (ROCE) | 使用资本回报率

ROCE = (Net Profit ÷ Capital Employed) × 100%. Capital employed is often given as total equity + non-current liabilities, or as total assets − current liabilities.

ROCE = (净利润 ÷ 使用资本) × 100%。使用资本通常以总权益加非流动负债，或总资产减去流动负债的方式给出。

Example: Net profit £12,000, Capital employed £80,000.
ROCE = (£12,000 ÷ £80,000) × 100% = 15%.

示例：净利润 £12,000，使用资本 £80,000。
ROCE = (£12,000 ÷ £80,000) × 100% = 15%。

9. Cash Flow: Net Flow and Closing Balance | 现金流：净流量与期末余额

Net cash flow = Total cash inflows − Total cash outflows in a period. Closing balance = Opening balance + Net cash flow.

净现金流量 = 一个时期内的总现金流入 − 总现金流出。期末余额 = 期初余额 + 净现金流量。

Example: Opening balance £2,000. Inflows: sales £8,000. Outflows: wages £3,000, rent £2,000, materials £1,000 (total outflows £6,000).
Net cash flow = £8,000 − £6,000 = £2,000.
Closing balance = £2,000 + £2,000 = £4,000.

示例：期初余额 £2,000。流入：销售收入 £8,000。流出：工资 £3,000、租金 £2,000、材料 £1,000（流出合计 £6,000）。
净现金流量 = £8,000 − £6,000 = £2,000。
期末余额 = £2,000 + £2,000 = £4,000。

10. Interest and Percentage Change | 利息与百分比变化

Simple interest = (Principal × Rate × Time) / 100, where Time is in years. Percentage change = (Change ÷ Original value) × 100%.

单利 = (本金 × 利率 × 时间) / 100，时间以年为单位。百分比变化 = (变化量 ÷ 原始值) × 100%。

Interest example: Loan £10,000 at 5% per annum for 1 year → Interest = (10,000 × 5 × 1) / 100 = £500.

利息示例：贷款 £10,000，年利率 5%，1 年 → 利息 = (10,000 × 5 × 1) / 100 = £500。

Percentage change example: Revenue rises from £200,000 to £240,000. Change = £40,000. % change = (40,000 ÷ 200,000) × 100% = 20% increase.

百分比变化示例：收益从 £200,000 增加到 £240,000。变化量 £40,000。百分比变化 = (40,000 ÷ 200,000) × 100% = 增长 20%。

Published by TutorHao | GCSE Business Revision Series | aleveler.com

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GCSE CIE Business: Calculation Practice Training | GCSE CIE 商务：计算题专项训练