3.6 The Income Statement
The components of an income statement and how to use one to evaluate performance.
What an income statement is
An income statement, which also goes by the name statement of profit and loss, sets everything a business earned across a period against everything it spent, and the difference is that period's net profit or loss. A period here can run a month, a quarter, or a year. Because the page measures a stretch of time and not a single day, most statements print more than one period at once, the current month next to the one before it, or this quarter next to the same quarter last year, which lets every line be judged against its own history.
Three major categories absorb almost everything on the page: revenue, cost of goods sold, and operating expenses. Interest, tax, and any nonrecurring cost then take separate labeled lines of their own. Nonrecurring means exactly what it says, so a one-time equipment repair is given its own label and a reader knows the next period will not carry it.
From revenue to gross profit
Revenue is the income generated by the business's core activities. For a shop selling 3,000 units in a month at a $6.00 average, revenue is $18,000, and that is the top line. Where a business sells one thing, everything it earns counts inside that line, so a $1,500 catered event booked at the same average price counts as roughly 250 units rather than opening a second revenue line.
Cost of goods sold is the direct cost of producing what was sold, which here is $1.50 per unit across 3,000 units, or $4,500. Revenue minus COGS is gross profit, the profit remaining after only the direct costs of production: $18,000 minus $4,500 is $13,500.
\text{Gross profit} = \text{Revenue} - \text{COGS}
From operating expenses to operating profit
Operating expenses gather the indirect costs of keeping the business running, and a statement usually splits them into two named groups. Selling expenses pay for selling the product, covering advertising and the pay of the people who sell. General and administrative expenses pay for running the business behind the counter, covering rent, utilities, insurance, and supplies. Research and development spending belongs in operating expenses as well.
With $6,200 of counter wages and $300 of marketing on the selling side, and $2,500 of rent, $400 of utilities, $250 of insurance, and $250 of supplies on the administrative side, the total is $9,900. Gross profit minus operating expenses is operating profit, the business's income before interest and taxes: $13,500 minus $9,900 is $3,600.
Interest, taxes, and the bottom line
Interest expense is the cost of borrowing money, through loans at small scale and through bonds at corporate scale. Only the interest portion of a loan payment appears here. On a $300 monthly payment split $250 of principal and $50 of interest, the statement reports $50, because the principal repays the debt itself and debts live on the balance sheet. Operating profit minus interest expense is pretax income: $3,600 minus $50 is $3,550.
If pretax income is positive the business owes taxes on it, and the tax expense appears on its own line. At 20% that is $710, so pretax income minus taxes is net profit of $2,840. This figure is what accountants mean by the bottom line, and it represents what the period actually earned on behalf of the people who own the business.
The margin cascade
Each profit line converts into a margin, which is that stop's profit divided by total revenue. Gross profit margin is $13,500 over $18,000, or 75%, and it grades pricing and direct-cost control. Operating profit margin is $3,600 over $18,000, or 20%, and it grades two things at once: how effectively the selling effort works, and how tightly the cost of administering the place is held. Net profit margin is $2,840 over $18,000, or 15.8%, and it grades overall profitability, reading naturally as just under sixteen cents of every revenue dollar reaching the owner.
No margin means anything on its own. Each one is benchmarked three ways, against what the business projected, against what it achieved before, and against what comparable businesses achieve, and only that comparison decides whether performance is meeting expectations. Both internal and external stakeholders read the same page: an owner spots trends and decides what to fix, while a lender reads it as the first page of a loan packet.
The percent change equation
\%\Delta = \frac{V_{1} - V_{0}}{V_{0}} \times 100
The comparison column has an equation of its own, and it works on any line at all, whether that line holds revenue, a cost, a profit, or a margin. Take a February that produced $10,800 of revenue against $12,000 the February before. The change is negative $1,200, and $1,200 divided by the $12,000 it started from is 10%, so revenue fell 10%.
The equation measures the drop and never explains it. If three days of a street closure fell inside that month, only the business can supply that fact, and a reader who sees the number without the explanation grades the month wrong. This is precisely why stakeholders track statements across multiple periods rather than judging one page alone: trends in revenue and cost, measured as percent changes, turn a single month into a judgment about direction.
Projected income statements and consumer budgets
Everything above recorded a period that has already closed, assembled out of data the business actually collected. A projected income statement points the same page forward and fills it with predictions instead. The reason a business plans this way is uncertainty: what customers need and want shifts, competitors apply pressure, and the PESTEL forces outside keep moving. Revenue ahead is estimated from the pricing the business intends to set and from research into customer demand, while the costs ahead follow from the production plan that volume implies.
A projected peak month at 4,200 units and a held price of $6.00 projects $25,200 of revenue, $6,300 of COGS at $1.50 per unit, and $18,900 of gross profit at the same 75% margin. The fixed operating lines mostly hold their level, since neither rent nor an insurance premium notices which month it is, while wages stretch to cover extra shifts. Three jobs follow from the projection: expected costs get laid out before they land, the funding required to pre-buy inventory becomes visible, and the business learns how much cash has to be standing by so obligations are met while the rush is under way.
Consumers run the same document under a different name. A budget begins with expected net pay, the amount that survives taxes and other deductions, then assigns every dollar of it to a planned saving or a planned expense, with debt repayment among them. A $560 four-week month split into $160 of savings, $40 for a phone share, $60 for transport, $120 for food and fun, $40 for gifts, $20 repaying an advance, and $120 of buffer is a personal projected income statement line for line: expected income at the top, planned outflows underneath, and a bottom line of slack.
Essential knowledge covered on this page
| Learning objective | Essential knowledge | Section |
|---|---|---|
| 3.6.A Components of a business income statement | 3.6.A.1, 3.6.A.2, 3.6.A.3, 3.6.A.4, 3.6.A.5, 3.6.A.6, 3.6.A.7, 3.6.A.8, 3.6.A.9 | What an income statement is, Revenue to gross profit, Operating expenses to operating profit, Interest, taxes, and the bottom line |
| 3.6.B Evaluating performance using income statement information | 3.6.B.1, 3.6.B.2, 3.6.B.3, 3.6.B.4, 3.6.B.5, 3.6.B.6 | The margin cascade, The percent change equation |
| 3.6.C Predicting and planning for future income and expenses | 3.6.C.1, 3.6.C.2, 3.6.C.3, 3.6.C.4, 3.6.C.5 | Projected income statements and consumer budgets |
| 3.6.D Developing an income statement or projected income statement | 3.6.D.1, 3.6.D.2, 3.6.D.3, 3.6.D.4 | Revenue to gross profit, Projected income statements and consumer budgets |
Worked examples
Building an income statement from revenue to net profit
Work an income statement top to bottom and arrive at the bottom line.
A shop sold 3,000 units this month at a $6.00 average. Ingredients and packaging cost $1.50 per unit. Operating expenses were $9,900, interest expense was $50, and the tax rate is 20%. Build the statement.
- Units sold
- 3,000
- Average price
- $6.00
- Variable cost per unit
- $1.50
- Operating expenses
- $9,900
- Interest expense
- $50
- Tax rate
- 20%
1. Compute revenue
Multiply units by price. 3,000 times $6.00 is $18,000, the top line.
2. Compute cost of goods sold
Multiply units by the direct cost each one carries. 3,000 times $1.50 is $4,500.
3. Subtract COGS to reach gross profit
$18,000 minus $4,500 is $13,500.
GP = 18000 - 4500
4. Subtract operating expenses to reach operating profit
$13,500 minus $9,900 is $3,600, which is income before interest and taxes.
5. Subtract interest expense to reach pretax income
Only the interest portion of a loan payment belongs here. $3,600 minus $50 is $3,550.
6. Apply the tax rate
Pretax income is positive, so tax is owed. 0.20 times $3,550 is $710.
7. Subtract tax to reach net profit
$3,550 minus $710 is $2,840.
Answer
$2,840. The month produced $18,000 of revenue and $2,840 of net profit.
Why it matters
Each subtraction answers a different question, which is why the statement has stops rather than one calculation. An owner draw of about $2,000 then comes out of this $2,840 and never appears among the operating expenses above.
Converting three profit lines into three margins
Convert each profit line into a margin and state what each one grades.
Using the same month, with $18,000 of revenue, $13,500 of gross profit, $3,600 of operating profit, and $2,840 of net profit, compute the three margins.
- Revenue
- $18,000
- Gross profit
- $13,500
- Operating profit
- $3,600
- Net profit
- $2,840
1. Compute gross profit margin
Divide gross profit by revenue. $13,500 over $18,000 is 0.75, or 75%.
2. Compute operating profit margin
Divide operating profit by revenue. $3,600 over $18,000 is 0.20, or 20%.
3. Compute net profit margin
Divide net profit by revenue. $2,840 over $18,000 is 0.1578, or about 15.8%.
NPM = \frac{2840}{18000}
4. Read the cascade in cents
Each revenue dollar keeps 75 cents past direct costs, 20 cents past operating costs, and just under 16 cents once interest and tax are paid.
Answer
75%, 20%, and 15.8%. The three margins fall from 75% to 20% to just under 16% as each layer of cost is removed.
Why it matters
A single margin proves nothing on its own. What makes these numbers usable is comparison, against the business's own projections, against its earlier months, and against businesses in the same line of work.
Running percent change on a revenue line
Compute the percentage change between two comparable periods and separate measurement from explanation.
February revenue came in at $10,800. The same month a year earlier produced $12,000. Compute the change, then decide what the number does and does not tell a reader.
- Current February revenue
- $10,800
- Prior February revenue
- $12,000
1. Find the change in dollars
Subtract the earlier figure from the current one. $10,800 minus $12,000 is negative $1,200.
2. Divide by the initial value
The denominator is always the period being compared against. Negative $1,200 over $12,000 is negative 0.10.
\%\Delta = \frac{10800 - 12000}{12000} \times 100
3. State it as a percentage
Multiply by 100. Revenue fell 10% year over year.
4. Separate the measure from the cause
The equation reports the size of the drop and says nothing about why. If three days of a street closure fell inside the month, only the business can supply that.
Answer
negative 10%. Revenue fell $1,200, a decline of 10% against the same month last year.
Why it matters
A percent change is evidence, not a verdict. A reader handed the number without the explanation will grade the month wrong, which is why statements are read across several periods and why a filing that carries a footnote is worth more than one that does not.
Projecting a peak month before it arrives
Build the top of a projected income statement from a volume forecast and a held price.
Three years of history say July sells about 4,200 units. The price holds at $6.00 and the direct cost holds at $1.50. Project revenue, COGS, and gross profit for July, then state what the projection is for.
- Projected volume
- 4,200 units
- Planned price
- $6.00
- Direct cost per unit
- $1.50
1. Project revenue
Multiply the forecast volume by the planned price. 4,200 times $6.00 is $25,200.
2. Project cost of goods sold
Multiply the same volume by the direct cost. 4,200 times $1.50 is $6,300.
3. Project gross profit
Subtract the projected COGS from projected revenue. $25,200 minus $6,300 is $18,900.
4. Check the margin against the norm
Divide $18,900 by $25,200 to get 0.75. The gross margin holds at 75%, which is the sanity check that the projection was built consistently.
Answer
$25,200 of revenue and $18,900 of gross profit. July projects to $25,200 of revenue, $6,300 of COGS, and $18,900 of gross profit at the usual 75% margin.
Why it matters
The projection earns its keep before July arrives. It shows the pre-buy of inventory that has to be funded, the extra shifts wages must cover, and how much cash needs to be standing by while the rush runs.
Key terms
- Budget
- Cost of Goods Sold
- General and Administrative Expenses
- Gross Profit
- Gross Profit Margin
- Income Statement
- Interest Expense
- Loss
- Net Income
- Net Profit
- Net Profit Margin
- Operating Expense
- Operating Profit
- Operating Profit Margin
- Percentage Change Equation
- Pre-Tax Income
- Profit
- Projected Income Statement
- Revenue
- Selling Expenses
7 common mistakes on 3.6
The wrong moves students actually make on these questions, why each one is wrong, and what to do instead. Part of the practice tier.
See what is includedEssential knowledge covered
3.6.A.1 · 3.6.A.2 · 3.6.A.3 · 3.6.A.4 · 3.6.A.5 · 3.6.A.6 · 3.6.A.7 · 3.6.A.8 · 3.6.A.9 · 3.6.B.1 · 3.6.B.2 · 3.6.B.3 · 3.6.B.4 · 3.6.B.5 · 3.6.B.6 · 3.6.C.1 · 3.6.C.2 · 3.6.C.3 · 3.6.C.4 · 3.6.C.5 · 3.6.D.1 · 3.6.D.2 · 3.6.D.3 · 3.6.D.4