Business Metrics

Master the key performance indicators (KPIs) and calculations that drive business decisions, from profit margins and ROI to break-even analysis and growth rates.

Revenue and Profit

Basic Formulas

Revenue (Total Sales): Revenue = Price × Quantity

Cost of Goods Sold (COGS): Direct costs to produce/acquire products

Gross Profit: Gross Profit = Revenue − COGS

Operating Expenses: Overhead (rent, salaries, utilities, marketing)

Net Profit: Net Profit = Gross Profit − Operating Expenses

Example Breakdown

Business sells 1,000 units at $50 each:

• Revenue: 1,000 × $50 = $50,000
• COGS: $25,000 (materials, labor)
• Gross Profit: $50,000 − $25,000 = $25,000
• Operating Expenses: $15,000 (rent, utilities, salaries)
• Net Profit: $25,000 − $15,000 = $10,000

Profit Margins

Gross Profit Margin

Formula: Gross Margin = (Gross Profit / Revenue) × 100

Measures profitability after direct costs.

Example:

• Revenue: $50,000
• COGS: $25,000
• Gross Profit: $25,000
• Gross Margin: ($25,000 / $50,000) × 100 = 50%

Interpretation: For every dollar of sales, $0.50 is gross profit

Industry Benchmarks:

• Software: 80-90% (low COGS)
• Retail: 25-50% (moderate COGS)
• Grocery: 10-20% (high competition, low margins)
• Restaurants: 60-70% (on food)

Net Profit Margin

Formula: Net Margin = (Net Profit / Revenue) × 100

Measures overall profitability after all expenses.

Example:

• Revenue: $50,000
• Net Profit: $10,000
• Net Margin: ($10,000 / $50,000) × 100 = 20%

Interpretation: For every dollar of sales, $0.20 is final profit

Good Net Margins:

• 5-10%: Acceptable
• 10-20%: Healthy
• 20%+: Excellent

Operating Profit Margin

Formula: Operating Margin = (Operating Profit / Revenue) × 100

Operating Profit = Gross Profit − Operating Expenses (before interest and taxes)

Example:

• Gross Profit: $25,000
• Operating Expenses: $15,000
• Operating Profit: $10,000
• Revenue: $50,000
• Operating Margin: ($10,000 / $50,000) × 100 = 20%

Return on Investment (ROI)

Formula: ROI = [(Gain − Cost) / Cost] × 100

Measures efficiency of investment.

Business Examples

Marketing Campaign:

• Cost: $5,000
• Additional revenue generated: $20,000
• Profit from revenue: $8,000 (assuming 40% margin)
• ROI: [($8,000 − $5,000) / $5,000] × 100 = 60%

Equipment Purchase:

• Cost: $50,000
• Savings/additional profit over 5 years: $75,000
• ROI: [($75,000 − $50,000) / $50,000] × 100 = 50%

Training Program:

• Cost: $10,000
• Increased productivity value: $15,000
• ROI: [($15,000 − $10,000) / $10,000] × 100 = 50%

ROI Time Period

Annualized ROI: Annual ROI = Total ROI / Number of Years

Example: 50% ROI over 5 years

• Annualized: 50% / 5 = 10% per year

Return on Assets (ROA)

Formula: ROA = (Net Income / Total Assets) × 100

Measures how efficiently company uses assets to generate profit.

Example:

• Net Income: $50,000
• Total Assets: $400,000
• ROA: ($50,000 / $400,000) × 100 = 12.5%

Interpretation: Every dollar of assets generates $0.125 profit

Good ROA: 5-20% (varies by industry)

• Higher is better
• Capital-intensive businesses (manufacturing) typically lower
• Service businesses typically higher

Return on Equity (ROE)

Formula: ROE = (Net Income / Shareholder Equity) × 100

Measures return to shareholders.

Example:

• Net Income: $50,000
• Shareholder Equity: $250,000
• ROE: ($50,000 / $250,000) × 100 = 20%

Interpretation: 20% return on shareholders' investment

Good ROE: 15-20%+

Break-Even Analysis

Break-Even Point: When total revenue equals total costs (no profit, no loss)

Formula: Break-Even Units = Fixed Costs / (Price − Variable Cost per Unit)

Components

Fixed Costs: Don't change with production (rent, salaries, insurance)
Variable Costs: Change with production (materials, hourly labor)

Example

Business Details:

• Fixed costs: $10,000/month
• Variable cost per unit: $15
• Selling price per unit: $40
• Contribution margin: $40 − $15 = $25

Break-Even Units: $10,000 / $25 = 400 units

Break-Even Revenue: 400 × $40 = $16,000

Interpretation: Must sell 400 units to cover all costs

Break-Even in Dollars

Formula: Break-Even $ = Fixed Costs / Contribution Margin Ratio

Contribution Margin Ratio: (Price − Variable Cost) / Price

Example:

• Price: $40
• Variable cost: $15
• CM Ratio: ($40 − $15) / $40 = 0.625 or 62.5%
• Fixed costs: $10,000
• Break-Even: $10,000 / 0.625 = $16,000

Profit Target

Formula: Units Needed = (Fixed Costs + Target Profit) / Contribution Margin

Example: Want $5,000 profit

• ($10,000 + $5,000) / $25 = 600 units

Customer Metrics

Customer Acquisition Cost (CAC)

Formula: CAC = Total Marketing & Sales Costs / Number of New Customers

Example:

• Monthly marketing: $10,000
• Sales team costs: $15,000
• New customers: 50
• CAC: $25,000 / 50 = $500 per customer

Customer Lifetime Value (CLV or LTV)

Formula: CLV = (Average Purchase Value × Purchase Frequency × Customer Lifespan)

Example:

• Average purchase: $100
• Purchases per year: 4
• Customer stays: 5 years
• CLV: $100 × 4 × 5 = $2,000

Simplified with margin: CLV = (Average Annual Revenue per Customer × Customer Lifespan) × Profit Margin

CLV to CAC Ratio

Formula: CLV:CAC Ratio = CLV / CAC

Example:

• CLV: $2,000
• CAC: $500
• Ratio: $2,000 / $500 = 4:1

Benchmarks:

• Below 1:1: losing money on customers
• 1:1 to 3:1: concerning to acceptable
• 3:1: good target
• 5:1+: excellent

Growth Rates

Simple Growth Rate

Formula: Growth Rate = [(New − Old) / Old] × 100

Example: Revenue grew from $100,000 to $135,000

• [($135,000 − $100,000) / $100,000] × 100 = 35%

Compound Annual Growth Rate (CAGR)

Formula: CAGR = [(Ending / Beginning)^(1/years) − 1] × 100

Example: Revenue over 3 years

• Year 1: $100,000
• Year 2: $130,000
• Year 3: $160,000
• CAGR: [($160,000 / $100,000)^(1/3) − 1] × 100
• CAGR: [1.6^0.333 − 1] × 100 = 16.96%

Use CAGR for multi-year comparisons (smooths out yearly volatility)

Month-over-Month (MoM) Growth

Formula: MoM = [(This Month − Last Month) / Last Month] × 100

Example:

• January: 1,000 users
• February: 1,150 users
• MoM: [(1,150 − 1,000) / 1,000] × 100 = 15%

Year-over-Year (YoY) Growth

Formula: YoY = [(This Year − Last Year) / Last Year] × 100

Better than MoM for seasonal businesses

Example:

• December 2023: $80,000
• December 2024: $95,000
• YoY: [($95,000 − $80,000) / $80,000] × 100 = 18.75%

Inventory Metrics

Inventory Turnover

Formula: Inventory Turnover = COGS / Average Inventory

Example:

• Annual COGS: $500,000
• Average Inventory: $100,000
• Turnover: $500,000 / $100,000 = 5 times per year

Interpretation: Inventory sells and is replaced 5 times annually

High Turnover: Good cash flow, but risk of stockouts
Low Turnover: Potential obsolescence, tied-up capital

Days Sales of Inventory (DSI)

Formula: DSI = (Average Inventory / COGS) × 365

Or: DSI = 365 / Inventory Turnover

Example: Turnover of 5

• DSI = 365 / 5 = 73 days

Interpretation: Average item sits 73 days before selling

Productivity Metrics

Revenue per Employee

Formula: Revenue per Employee = Total Revenue / Number of Employees

Example:

• Revenue: $2,500,000
• Employees: 25
• Per employee: $2,500,000 / 25 = $100,000

Benchmarks (vary widely by industry):

• Tech/Software: $200,000 - $500,000+
• Retail: $100,000 - $200,000
• Manufacturing: $150,000 - $300,000

Profit per Employee

Formula: Profit per Employee = Net Profit / Number of Employees

Example:

• Net Profit: $250,000
• Employees: 25
• Per employee: $250,000 / 25 = $10,000

Conversion Metrics

Conversion Rate

Formula: Conversion Rate = (Conversions / Total Visitors) × 100

Example:

• Website visitors: 10,000
• Purchases: 250
• Conversion rate: (250 / 10,000) × 100 = 2.5%

Average Order Value (AOV)

Formula: AOV = Total Revenue / Number of Orders

Example:

• Revenue: $50,000
• Orders: 500
• AOV: $50,000 / 500 = $100

Increasing AOV:

• Upselling
• Cross-selling
• Bundles
• Free shipping thresholds

Revenue Per Visitor (RPV)

Formula: RPV = Total Revenue / Total Visitors

Or: RPV = Conversion Rate × AOV

Example:

• Conversion rate: 2.5%
• AOV: $100
• RPV: 0.025 × $100 = $2.50 per visitor

Financial Ratios

Current Ratio (Liquidity)

Formula: Current Ratio = Current Assets / Current Liabilities

Example:

• Current Assets: $150,000
• Current Liabilities: $75,000
• Ratio: $150,000 / $75,000 = 2.0

Interpretation: For every $1 owed, company has $2 in assets

Benchmarks:

• Below 1.0: Liquidity concerns
• 1.5 - 3.0: Healthy
• Above 3.0: Possibly inefficient use of assets

Debt-to-Equity Ratio

Formula: Debt-to-Equity = Total Debt / Total Equity

Example:

• Total Debt: $200,000
• Total Equity: $400,000
• Ratio: $200,000 / $400,000 = 0.5 or 1:2

Interpretation: $1 debt for every $2 equity

Benchmarks:

• Below 1.0: Conservative (less risky)
• 1.0 - 2.0: Moderate
• Above 2.0: Aggressive (higher risk)

Practice Problems

Profit Margins

1. Revenue $80,000, COGS $32,000, Operating expenses $28,000. Calculate gross and net margins.

ROI

2. Marketing campaign costs $8,000, generates $30,000 revenue with 40% margin. What's the ROI?

Break-Even

3. Fixed costs $15,000, product sells for $60, variable cost $25. How many units to break even?

Customer Metrics

4. CAC is $400, customer spends $150/year for 6 years. What's CLV and CLV:CAC ratio?

Growth

5. Revenue Y1: $250,000, Y2: $300,000, Y3: $375,000. What's CAGR?

Inventory

6. COGS $600,000, average inventory $120,000. What's turnover and DSI?

Conversions

7. 5,000 visitors, 2% conversion rate, AOV $75. What's total revenue and RPV?

Solutions

1. Gross margin: 60% (48k/80k), Net margin: 25% (20k/80k)
2. 50% (12k gain - 8k cost / 8k cost)
3. 429 units (15,000 / 35)
4. CLV: $900, Ratio: 2.25:1 (acceptable but could be better)
5. 22.5% CAGR ((375/250)^(1/3) - 1)
6. Turnover: 5, DSI: 73 days
7. Revenue: $7,500 (100 conversions × $75), RPV: $1.50

Key Takeaways

✓ Know your margins: track gross and net profit margins regularly
✓ ROI justifies decisions: calculate for every major investment
✓ Break-even is crucial: know minimum sales needed
✓ CLV > CAC: aim for a 3:1 ratio or better
✓ Growth needs context: use CAGR for multi-year comparison
✓ Monitor liquidity: current ratio shows financial health

Real-World Applications

• Pricing Decisions: Ensure margins meet targets
• Marketing Budget: Optimize CAC relative to CLV
• Growth Planning: Set realistic targets using CAGR
• Investment Decisions: Evaluate ROI before committing
• Inventory Management: Optimize turnover for cash flow
• Financial Health: Monitor ratios for early warning signs

Next Steps

Move to Chapter 08: Geometry & Measurement to learn practical area, volume, and measurement calculations for home projects, construction, and spatial planning.