AP® Business with Personal Finance review sheet from Aim for Five (aimforfive.com/business-finance/units/3/3-6)
Unit 3 · Topic 3.6
3.6 The Income Statement
The income statement shows whether a business made a profit over a period, step by step from revenue down to net profit. Profit margins turn those dollars into percentages you can compare over time and against rivals, and projected income statements and budgets help businesses and people plan ahead.
Key terms
- revenue
- gross profit
- operating profit
- net profit
- profit margin
- projected income statement
Reading an income statement from top to bottom
An income statement (also called a profit and loss statement, or P&L) compares a business's revenue with its costs over a period, like a month, quarter or year, to find its net profit or loss. It usually shows several periods side by side so you can compare.
| Line | How to get it | What it tells you |
|---|---|---|
| Revenue | Money from the business's main activity, like sales | How much came in |
| − Cost of goods sold (COGS) | Direct costs of making the products | What the products themselves cost |
| = Gross profit | Revenue − COGS | Profit after direct costs only |
| − Operating expenses | Selling costs (ads, sales salaries), general and administrative costs (office salaries, office rent, insurance) and R&D | What it costs to run the business |
| = Operating profit | Gross profit − operating expenses | Profit from running the business, before interest and taxes |
| − Interest expense | Interest on loans and bonds | The cost of borrowing |
| = Pretax income | Operating profit − interest | Profit before taxes |
| − Taxes | Owed only if pretax income is positive | What goes to the government |
| = Net profit | Pretax income − taxes | The bottom line: what's left for the owners |
Three profit margins
Margins mean little alone. Compare them with projections, past results and competitors. To measure change, use percent change = (current value − initial value) ÷ initial value × 100. You won't be tested on adjustments that turn gross sales into net sales, on what goes into COGS, on non-operating items other than interest, or on items below the bottom line.
- Gross profit margin = gross profit ÷ revenue. Shows how well the business sets prices and controls direct costs.
- Operating profit margin = operating profit ÷ revenue. Shows how well it sells its products, runs the business and controls operating expenses.
- Net profit margin = net profit ÷ revenue. Shows overall profitability: the share of each sales dollar that ends up with the owners.
Planning ahead
Income and costs change with customers' needs, competition and PESTEL forces, so planning matters. A projected income statement (or business budget) estimates revenue, costs and profit for a future period. Revenue estimates come from planned prices and research on demand and industry trends. Cost estimates come from planned production, supply chain costs, rent, marketing, salaries and R&D. Projections help a business plan for costs, spot when it will need funding and keep enough cash to pay its bills.
A personal budget works the same way: it lists expected net pay for a month or year and plans all saving and spending, including debt payments. It shows your spending patterns and whether you're on track for goals like paying off debt, saving or giving to causes you care about.
Worked examples
Try each one yourself first, then open the solution.
- Example 1Calculator allowed
Building an income statement and its margins
A bike-parts company had revenue of $850,000, COGS of $340,000, operating expenses of $310,000, interest expense of $25,000 and taxes of $36,750 last year. Find gross profit, operating profit, pretax income, net profit and the three margins.
Show the solutionHide the solution
- Step 1: Gross profit = $850,000 − $340,000 = $510,000.
- Step 2: Operating profit = $510,000 − $310,000 = $200,000.
- Step 3: Pretax income = $200,000 − $25,000 = $175,000.
- Step 4: Net profit = $175,000 − $36,750 = $138,250.
- Step 5: Margins: gross = $510,000 ÷ $850,000 = 60%; operating = $200,000 ÷ $850,000 ≈ 23.5%; net = $138,250 ÷ $850,000 ≈ 16.3%.
Answer: Gross profit $510,000 (60%), operating profit $200,000 (about 23.5%), pretax income $175,000, net profit $138,250 (about 16.3%).
- Example 2Calculator allowed
Revenue grew, but did performance improve?
This year the same company's revenue rose to $1,000,000, COGS to $430,000, operating expenses to $340,000; interest stayed at $25,000 and taxes were $43,050. Find the percent change in revenue and in net profit, and compare the gross profit margin with last year's 60%.
Show the solutionHide the solution
- Step 1: Gross profit = $1,000,000 − $430,000 = $570,000. Operating profit = $570,000 − $340,000 = $230,000. Pretax = $230,000 − $25,000 = $205,000. Net = $205,000 − $43,050 = $161,950.
- Step 2: Revenue change = ($1,000,000 − $850,000) ÷ $850,000 × 100 ≈ 17.6%.
- Step 3: Net profit change = ($161,950 − $138,250) ÷ $138,250 × 100 ≈ 17.1%.
- Step 4: Gross margin = $570,000 ÷ $1,000,000 = 57%, down from 60%.
- Step 5: The trap is stopping at bigger dollars. Direct costs grew faster than revenue, so each sale earned a bit less gross profit. Managers should look at prices or supplier costs.
Answer: Revenue rose about 17.6% and net profit about 17.1%, but the gross margin slipped from 60% to 57%, a sign that direct costs are rising faster than sales.
Common mistakes
- Subtracting operating expenses before COGS. The order is revenue − COGS = gross profit, then − operating expenses = operating profit.
- Dividing a profit by costs to get a margin. Every margin divides by revenue.
- Putting the old value in the wrong spot in percent change. Divide by the initial (older) value.
On the exam
- Expect to read an income statement table and compute a profit, a margin or a percent change, then say what it means: pricing and direct costs (gross), running the business (operating) or overall (net).
- In Question 4 (Business Decision), use income statement numbers, like a projected profit or margin, as financial criteria for comparing options.
Connected topics
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Check yourself: 3.6 The Income Statement
4 questions on 3.6 The Income Statement. Pick an answer to see if you got it, and why.
| Line | Item | 2024 | 2025 |
|---|---|---|---|
| 1 | Revenue | $800,000 | $950,000 |
| 2 | Cost of goods sold (COGS) | $480,000 | $551,000 |
| 3 | Gross profit | $320,000 | $399,000 |
| 4 | Operating expenses | $200,000 | $266,000 |
| 5 | (label missing) | $120,000 | $133,000 |
| 6 | Interest expense | $20,000 | $18,000 |
| 7 | Pretax income | $100,000 | $115,000 |
| 8 | Taxes | $21,000 | $24,150 |
| 9 | Net profit | $79,000 | $90,850 |
Comparative income statement for Ridgeline Outfitters, a hypothetical camping-gear company
Which item belongs on Line 5?
What was Ridgeline's gross profit margin in 2025?
By what percent did Ridgeline's revenue change from 2024 to 2025?
Ridgeline's gross profit margin rose from 2024 to 2025, but its operating profit margin fell. Which explanation fits the data?
0 of 4 answered