📚 Typical IB & OCR Business Exam Questions: Worked Examples | IB OCR 商务典型例题详解
Business studies exams often blend calculation, analysis, and evaluation across diverse topics. This article breaks down ten typical question types drawn from IB Business Management and OCR A Level Business specifications, providing step-by-step solutions alongside bilingual explanation. Working through these examples will sharpen your application skills and exam technique, whether you are calculating break-even, analysing ratios, or evaluating strategic options.
商务考试通常将计算、分析和评估融合在多个主题中。本文精选了 IB 商务管理和 OCR A Level 商务课程中十个常见题型，提供分步解析和双语讲解。通过演练这些例题，你可以强化应用能力和考试技巧，无论碰上盈亏平衡计算、比率分析还是战略选项评估，都能从容应对。
1. Break-even Analysis | 盈亏平衡分析
Question: A handbag maker has fixed costs of £60,000 per year, a selling price of £45 per bag, and variable costs of £20 per bag. Current output is 3,000 bags. Calculate the break-even output, the margin of safety, and explain how a change to cheaper leather (reducing variable cost by £5) would affect the break-even chart.
题目： 一家手袋制造商年固定成本为 60,000 英镑，每只包的售价为 45 英镑，单位可变成本为 20 英镑。目前产量为 3,000 只。计算盈亏平衡产量和安全边际，并说明改用更便宜的皮革（单位可变成本降低 5 英镑）会对盈亏平衡图产生什么影响。
Step 1: Calculate unit contribution. Contribution = Selling price - Variable cost = £45 - £20 = £25. Each bag sold contributes £25 towards covering fixed costs.
步骤1：计算单位贡献。贡献 = 售价 − 可变成本 = 45 − 20 = 25 英镑。每售出一只手袋就可贡献 25 英镑来弥补固定成本。
Step 2: Break-even output = Fixed costs / Contribution per unit = £60,000 / £25 = 2,400 bags. The business must sell 2,400 bags to cover all costs.
步骤2：盈亏平衡产量 = 固定成本 / 单位贡献 = 60,000 ÷ 25 = 2,400 只。企业必须卖出 2,400 只手袋才能覆盖所有成本。
3,000 - 2,400 = 600 bags. Sales can fall by 600 bags before the firm starts making a loss.
步骤3：安全边际 = 当前产量 − 盈亏平衡产量 = 3,000 − 2,400 = 600 只。在手袋公司开始亏损前，销量最多还可下降 600 只。
Effect of £5 variable cost reduction: New variable cost = £15, contribution rises to £30. New break-even output = £60,000 / £ point shifts left on the chart, reducing risk and allowing profit at a lower sales volume.
可变成本降低 5 英镑的影响：新可变成本为 15 英镑，贡献上升至 30 英镑。新盈亏平衡产量 = 60,000 ÷ 30 = 2,000 只。盈亏平衡点在图上向左移动，风险降低，企业可在更低的销量水平实现盈利。
2. Financial Ratio Analysis | 财务比率分析
Question: A retailer reports revenue of £800,000, cost of sales of £520,000, operating expenses of £150,000, current assets of £210,000, current liabilities of £140,000, and inventory of £90,000. Calculate gross profit margin, net profit margin, current ratio, and acid-test ratio. Interpret the liquidity position.
题目： 一家零售商报告销售收入 800,000 英镑，销售成本 520,000 英镑，营业费用 150,000 英镑，流动资产 210,000 英镑，流动负债 140,000 英镑，存货 90,000 英镑。计算毛利率、净利率、流动比率和速动比率，并解释流动性状况。
Gross profit = Revenue - Cost of sales = £800,000 - £520,000 = £280,000. Gross profit margin = (280,000 / 800,000) × 100 = 35%. This means 35p in every £1 of sales remains after paying direct costs.
毛利 = 销售收入 − 销售成本 = 800,000 − 520,000 = 280,000 英镑。毛利率 = (280,000 ÷ 800,000) × 100 = 35%。这意味着每 1 英镑销售额中，扣除直接成本后还剩下 35 便士。
Net profit before interest and tax = Gross profit - Operating expenses = £280,000 - £150,000 = £130,000. Net profit margin = (130,000 / 800,000) × 100 = 16.25%. This indicates overall profitability after all operating costs.
息税前净利润 = 毛利 − 营业费用 = 280,000 − 150,000 = 130,000 英镑。净利率 = (130,000 ÷ 800,000) × 100 = 16.25%。这反映了扣除所有营业费用后的整体盈利能力。
ratio = Current assets / Current liabilities = 210,000 / 140,000 = 1.5:1. The business has £1.50 of current assets for every £1 of short-term debt, which is generally considered adequate but not excessive.
流动比率 = 流动资产 / 流动负债 = 210,000 ÷ 140,000 = 1.5:1。企业每 1 英镑短期债务对应 1.50 英镑流动资产，一般认为比较充足但不算过高。
uggesting that without selling inventory the firm may struggle to meet immediate liabilities. Management should monitor cash flow closely.
速动比率 = (流动资产 − 存货) / 流动负债 = (210,000 − 90,000) ÷ 140,000 = 120,000 ÷ 140,000 = 0.86:1。这个数值低于 1:1，意味着如果不卖掉存货，企业可能难以支付到期债务，管理层需要密切关注现金流。
3. Market Segmentation and Targeting | 市场细分与目标市场
Question: A sportswear company plans to launch a new line of eco-friendly yoga wear. Identify two possible segmentation bases and explain how the company could target the most attractive segment. Justify your choice.
题目： 一家运动服装公司计划推出全新的环保瑜伽服系列。找出两种可能的细分依据，并解释公司该如何瞄准最具吸引力的细分市场。证明你的选择。
Segmentation basis 1: Demographic — targeting women aged 20–40 with medium-to-high disposable income who practice yoga regularly. This group is likely to value premium, sustainable fabrics and can afford higher prices.
细分依据 1：人口统计变量——瞄准 20 至 40 岁、拥有中高可支配收入并定期练习瑜伽的女性。这一群体很可能看重高级环保面料，并有能力支付较高价格。
Segmentation basis 2: Psychographic — consumers who are environmentally conscious, value mindfulness and align their purchases with ethical production. They seek brands that reflect their lifestyle and values.
细分依据 2：心理变量——具有环保意识、注重正念生活并希望购买行为符合道德生产要求的消费者。他们追求能反映个人生活方式和价值观的品牌。
Targeting strategy: The firm should adopt a concentrated targeting approach, focusing on the 'eco-active female yogi' segment. By developing a specialised marketing mix — bamboo-fibre products, Instagram influencers advocating sustainability, and pop-up stores at yoga studios — the company can build strong brand loyalty and charge premium prices, even though the segment may be smaller than the mass market.
目标市场策略：公司应采取集中性目标市场策略，聚焦“环保活跃型女性瑜伽爱好者”细分。通过开发专门营销组合——竹纤维产品、推广可持续理念的 Instagram 网红、以及在瑜伽工作室开设快闪店——即使该细分市场比大众市场小，企业仍可建立强大的品牌忠诚度，并实现溢价销售。
4. Decision Trees | 决策树分析
Question: A cafe owner must choose between expanding the kitchen (cost £30,000) or introducing delivery service (cost £10,000). Expansion has a 0.7 chance of high demand yielding £90,000 and a 0.3 chance of low demand yielding £40,000. Delivery has a 0.6 chance of high demand yielding £55,000 and a 0.4 chance of low demand yielding £25,000. Using expected monetary values, advise which option to choose.
题目： 一家咖啡馆老板必须在扩建厨房（成本 30,000 英镑）和推出外卖服务（成本 10,000 英镑）之间做出选择。扩建有 0.7 的概率迎来高需求，获利 90,000 英镑；有 0.3 的概率低需求，获利 40,000 英镑。外卖服务有 0.6 的概率高需求，获利 55,000 英镑；0.4 的概率低需求，获利 25,000 英镑。利用期望货币价值法，建议该选哪个方案。
Expected value of expansion: (0.7 × £90,000) + (0.3 × £40,000) = £63,000 + £12,000 = £75,000. Net gain = £75,000 - £30,000 = £45,000.
扩建的期望值：(0.7 × 90,000) + (0.3 × 40,000) = 63,000 + 12,000 = 75,000 英镑。净收益 = 75,000 − 30,000 = 45,000 英镑。
Expected value of delivery: (0.6 × £55,000) + (0.4 × £25,000) = £33,000 + £10,000 = £43,000. Net gain = £43,000 - £10,000 = £33,000.
外卖的期望值：(0.6 × 55,000) + (0.4 × 25,000) = 33,000 + 10,000 = 43,000 英镑。净收益 = 43,000 − 10,000 = 33,000 英镑。
Recommendation: On financial grounds, expansion offers a higher net EMV (£45,000 vs £33,000). However, the decision should also consider non-financial factors such as disruption during construction, the strategic importance of delivery channels, and the owner's attitude to risk. A risk-averse owner might prefer the lower-cost delivery option despite the lower net EMV.
建议：从财务角度看，扩建的净期望值更高（45,000 对比 33,000）。但决策时还应考虑非财务因素，比如施工期间的干扰、外卖渠道的战略意义，以及老板的风险偏好。风险规避型老板可能倾向于成本更低的外卖方案，尽管其净期望值较低。
5. Cash Flow Forecasting | 现金流预测
Question: A start-up's forecast for January–March shows: opening balance £4,000; Jan inflows £12,000, outflows £9,000; Feb inflows £10,000, outflows £15,000; Mar inflows £18,000, outflows £13,000. Construct a cash flow forecast and identify any liquidity problems. Suggest two ways to avoid a cash crisis.
题目： 一家初创企业 1–3 月的预测如下：期初余额 4,000 英镑；1 月流入 12,000 英镑，流出 9,000 英镑；2 月流入 10,000 英镑，流出 15,000 英镑；3 月流入 18,000 英镑，流出 13,000 英镑。构建现金流预测并指出任何流动性问题。建议两种避免现金危机的方法。
| Month | Inflow (£) | Outflow (£) | Net Cash Flow (£) | Closing Balance (£) |
|---|---|---|---|---|
| January | 12,000 | 9,000 | 3,000 | 7,000 |
| February | 10,000 | 15,000 | (5,000) | 2,000 |
| March | 18,000 | 13,000 | 5,000 | 7,000 |
Forecast shows the closing balance dipping to £2,000 in February, which represents a liquidity squeeze. If any customers delay payment or an unexpected bill arrives, the firm could face a negative cash balance.
预测显示 2 月的期末余额下降至 2,000 英镑，表明流动性紧张。如果有客户延迟付款或出现意外账单，企业就可能面临现金负余额。
Suggestion 1: Negotiate a bank overdraft facility in advance, ensuring immediate access to funds if the balance approaches zero. This provides a safety net without disrupting operations.
建议 1：提前与银行协商透支额度，确保在余额接近零时能立即动用资金。这可在不中断经营的前提下提供安全垫。
Suggestion 2: Delay February's non-essential outflows, such as holding off on restocking non-perishable supplies, or negotiate trade credit terms with suppliers to shift a £3,000 payment into March. This smooths out the trough and maintains liquidity.
建议 2：推迟 2 月份的非必要支出，例如暂缓储备不易变质的物料，或与供应商协商贸易信贷，将一笔 3,000 英镑的付款延至 3 月。这样可抹平低谷，维持流动性。
6. Motivation Theories in Practice | 激励理论应用
Question: An IT firm finds its programmers feel undervalued — salaries are competitive, but they complain about lack of recognition and repetitive tasks. Use Herzberg's two-factor theory to diagnose the problem and recommend two non-financial motivators that could improve job satisfaction.
题目： 一家 IT 公司的程序员感到不被重视——薪资具有竞争力，但他们抱怨缺乏认可和任务重复。运用赫茨伯格双因素理论诊断问题，并推荐两种能提升工作满意度的非财务激励因子。
Diagnosis: Herzberg's hygiene factors (salary, working conditions) appear adequate, but the motivational factors are weak. Recognition and the work itself — elements that provide growth and a sense of achievement — are missing, leading to dissatisfaction despite good pay.
诊断：赫茨伯格的保健因素（薪资、工作条件）似乎到位，但激励因素薄弱。认可和工作本身——那些能够带来成长感和成就感的要素——缺失，导致尽管薪资不错，员工仍感到不满。
Recommendation 1: Implement job enrichment by giving programmers ownership of small projects from design to implementation. This makes the work more meaningful and provides intrinsic motivation through challenge and responsibility.
建议 1：通过让程序员从设计到实施全权负责小型项目来实施工作丰富化。这使工作更有意义，并通过挑战和责任提供内在激励。
Recommendation 2: Introduce a 'peer recognition' programme, such as a monthly award or a spotlight in the company newsletter. Public praise satisfies the need for recognition and reinforces a culture where effort is valued, which can raise morale without adding cost.
建议 2：引入“同伴认可”计划，比如月度奖项或在公司简报中设置专栏表彰。公开表扬满足了认可需求，并强化了重视贡献的文化，无需增加成本就能提升士气。
7. Price Elasticity of Demand | 需求价格弹性
Question: A cinema chain increases ticket prices from £9 to £10.50, and weekly attendance falls from 5,000 to 4,200. Calculate PED and determine whether the price rise has been successful in raising total revenue. Explain your reasoning.
题目： 一家连锁影院将票价从 9 英镑提高到 10.50 英镑，每周观影人次从 5,000 降至 4,200。计算 PED 并判断此次提价是否成功提高了总收入。解释你的推理过程。
Percentage change in price = [(10.50 - 9) / 9] × 100 = (1.50 / 9) × 100 ≈ 16.67% increase.
价格变动百分比 = [(10.50 − 9) ÷ 9] × 100 = (1.50 ÷ 9) × 100 ≈ 16.67% 上升。
change in quantity demanded = [(4,200 - 5,000) / 5,000] × 100 = (-800 / 5,000) × 100 = -16% (decrease).
需求量变动百分比 = [(4,200 − 5,000) ÷ 5,000] × 100 = (−800 ÷ 5,000) × 100 = −16%（下降）。
PED = % change in Qd / % change in P = -16% / 16.67% ≈ -0.96. The absolute value is less than 1, so demand is price inelastic.
PED = 需求量变动% / 价格变动% = −16% ÷ 16.67% ≈ −0.96。绝对值小于 1，因此需求缺乏价格弹性。
Original total revenue = £9 × 5,000 = £45,000. New total revenue = £10.50 × 4,200 = £44,100. Revenue fell by £ in customers was still enough to reduce total revenue. This cautions that near-unitary elasticity can cause revenue to move ambiguously.
原总收入 = 9 × 5,000 = 45,000 英镑。新总收入 = 10.50 × 4,200 = 44,100 英镑。收入下降了 900 英镑，因此提价并不成功。缺乏弹性意味着需求量的下降比例小于价格上升比例，但观影人数减少的程度仍导致总收入下滑。这提醒我们，接近单位弹性时，收入变动方向并不确定。
8. Marketing Mix (4Ps) | 营销组合（4P）
Question: A premium Belgian chocolate brand is considering entering a new Asian market. Analyse how the 4Ps should be adapted to suit local consumer preferences and competitive conditions.
题目： 一家高端比利时巧克力品牌正考虑进入一个新的亚洲市场。分析如何调整 4P 以适应本地消费者偏好和竞争环境。
Product: While maintaining the core premium quality, the brand could introduce smaller portion sizes and less-sweet variants, as many Asian consumers prefer delicate sweetness and often buy gifts in individual wrapping. Packaging should incorporate red and gold, colours associated with celebration.
产品：在保持核心高端品质的同时，品牌可推出更小包装、低糖的品类，因为许多亚洲消费者偏好细腻甜味且常购买独立包装的礼品。包装应融入红色和金色等与节庆相关的颜色。
Price: The premium image should be reinforced through prestige pricing, but the brand must consider local income levels. A tiered range — a luxury box for gifting at higher margins and an affordable 'tasting' size — could widen the customer base while maintaining exclusivity.
价格：应通过威望定价强化高端形象，但品牌须考虑当地收入水平。可以推出分层产品线——用于送礼的高利润奢华礼盒和价格亲民的“品鉴装”——在维持尊贵感的同时扩大客户群。
Place: Distribution should leverage high-end department stores and airport duty-free shops where the brand's luxury image can be showcased. Partnering with established local distributors who understand retail networks will accelerate market penetration without a heavy own-store investment.
渠道：分销应利用能够展示品牌奢华形象的高端百货商场和机场免税店。与熟悉本地零售网络的成熟经销商合作，可以在不进行大量自有门店投资的情况下加速市场渗透。
Promotion: A digital campaign on platforms like WeChat or Line, featuring influencer collaborations and cocoa-sourcing stories, can build trust. In-store tasting events near Lunar New Year can exploit the cultural gift-giving peak and create word-of-mouth buzz without mass-media advertising.
促销：在微信或 Line 等平台上借助网红合作和可可豆采购故事进行数字营销可建立信任。在农历新年前后举办店内品鉴活动可充分利用文化性送礼高峰，无需大众媒体广告就能营造口碑。
9. SWOT Analysis | SWOT 分析
Question: A family-run organic bakery has a loyal local following but limited production capacity. It is considering whether to supply a national supermarket chain. Conduct a SWOT analysis and assess whether this move is strategically advisable.
题目： 一家家庭经营的有机面包房在当地拥有忠实顾客，但产能有限。它正考虑是否向全国性连锁超市供货。进行 SWOT 分析并评估这一举措在战略上是否明智。
