Income Statements: From Revenue to Profit
Learning objectives
After this section you will be able to:
- Calculate gross profit and net income.
- Distinguish revenue, expenses, and cash receipts.
- Interpret a net profit margin.
Real-life situation
A neighborhood food cart closes the month
A hypothetical Philadelphia food cart summarizes one month's earned revenue and expenses. The figures use simplified accrual accounting, so profit is not automatically the amount of cash collected.
| Item | Amount |
|---|---|
| Revenue | $5,000 |
| Cost of goods sold | $1,800 |
| Gross profit | $3,200 |
| Operating expenses | $2,200 |
| Operating income | $1,000 |
| Other expense | $200 |
| Net income | $800 |
The concept
An income statement reports financial performance over a period, such as a month or year. Revenue records amounts earned from ordinary sales or services under the accounting method used. It is not the same as owner contributions, borrowed money, or necessarily cash collected.
For a seller of goods, cost of goods sold is the assigned cost of inventory actually sold during the period. Subtract it from revenue to find gross profit. Inventory purchased but not yet sold generally remains an asset rather than becoming this period's cost of goods sold.
Operating expenses are the costs of running the operation beyond cost of goods sold. Subtract them from gross profit to find operating income, then include other stated revenues or expenses to find net income. Figure 16.1 omits taxes solely to simplify the example, not because a real business necessarily owes none.
Net profit margin expresses net income as a percentage of revenue. It helps compare different sales levels, but a margin alone does not explain risk, cash shortages, or owner compensation. Use consistent periods and expense categories before comparing businesses.
Income Statements: From Revenue to Profit: solution map
- 1
Identify the question
Calculate the food cart's gross profit, operating income, and net income.
- 2
Calculation 1
Gross profit: $5,000 − $1,800 = $3,200.
- 3
Calculation 2
Operating income: $3,200 − $2,200 = $1,000.
- 4
Calculation 3
Net income: $1,000 − $200 = $800.
- 5
Interpret and check
Gross profit is $3,200, operating income is $1,000, and net income is $800.
Money Words
Plain-language words you will use in this lesson — learn them before we reach the formulas.
balance sheet
A snapshot listing what a business owns (assets) and owes (liabilities) on one date.
income statement
A report showing revenue, expenses, and profit over a period of time.
cash flow
The movement of money into and out of a business or account.
Key terms
- Revenue
- Amounts earned from sales or services during the stated period.
- Cost of goods sold
- The assigned inventory cost of goods sold during the period.
- Gross profit
- Revenue minus cost of goods sold.
- Operating expense
- A cost of ordinary operations outside cost of goods sold.
- Net income
- Revenue and gains minus all expenses and losses included in the statement.
- Net profit margin
- Net income expressed as a percentage of revenue.
Formulas & rules
Gross profit
Gross profit = revenue − cost of goods sold
Operating income
Operating income = gross profit − operating expenses
Net income
Net income = operating income + other revenues − other expenses
Net margin
Net profit margin = net income ÷ revenue × 100
Revenue must be nonzero.
Worked examples
Calculate the food cart's gross profit, operating income, and net income.
Solution
- 1Gross profit: $5,000 − $1,800 = $3,200.
- 2Operating income: $3,200 − $2,200 = $1,000.
- 3Net income: $1,000 − $200 = $800.
Answer: Gross profit is $3,200, operating income is $1,000, and net income is $800.
Find the cart's net profit margin and cost-of-goods-sold percentage.
Solution
- 1Net income divided by revenue: $800 ÷ $5,000 = 0.16.
- 2Convert to percent: 0.16 × 100 = 16%.
- 3Cost-of-goods-sold percentage: $1,800 ÷ $5,000 × 100 = 36%.
Answer: Net profit margin is 16%; cost of goods sold is 36% of revenue.
Practice exercises 16.1
- Operating expenses rise by $150 with everything else unchanged. Find new net income and margin.
- Find total listed expenses in Figure 16.1.
- At the same total expense dollars, what revenue would make net income zero?
- An owner puts $500 into the business. Should it increase the statement's sales revenue?
- The business earns $300 from a customer who will pay next month. Under the stated accrual approach, what happens now?
Recap quiz 16.1
Section 16.1 recap
- Read down the statement from revenue through gross profit to net income.
- Profit measures performance under an accounting method, not simply cash collected.
Answer key with explanations: Section 16.1
Practice exercises
- New net income = $800 − $150 = $650. Margin = $650 ÷ $5,000 × 100 = 13%.
- $1,800 + $2,200 + $200 = $4,200. Revenue of $5,000 less $4,200 equals the stated $800 net income.
- Revenue must equal $4,200 in expenses. This is a fixed-dollar illustration, not a claim that costs would stay unchanged at every sales level.
- No. Owner investment is financing, not earned revenue. Revenue stays $5,000; the contribution increases cash and equity by $500.
- Record $300 revenue and $300 accounts receivable now, with no immediate cash increase. If no associated expenses change, net income rises by $300.
Recap quiz
- Gross profit: Gross profit = $5,000 − $1,800 = $3,200 in the example.
- A period of time: Income statements measure activity during a stated period.
- 16%: $800 ÷ $5,000 × 100 = 16%.