Learn
Calculate profit, cost price, or selling price from given values.
Profit calculations involve three key values: cost price (what you paid), selling price (what you sold for), and profit (the difference). Profit = Selling Price - Cost Price. Profit margin as a percentage is calculated relative to the cost price: Profit % = (Profit / Cost) × 100.
Profit = Selling Price - Cost Price. Profit % = (Profit / Cost) × 100
- Buy at $80, sell at $100 → Profit = $20, Margin = 20/80 × 100 = 25%
- Cost $50, 40% markup → Selling = $50 × 1.40 = $70, Profit = $20
- Sold at $90 with $18 profit → Cost = $90 - $18 = $72
How to recognize it
- Problem mentions cost, selling price, or profit
- May ask for profit amount or profit percentage
- Markup problems are percentage-based profit calculations
Common mistakes
- Confusing profit margin with markup
- Calculating percentage based on selling price instead of cost
- Mixing up which value to subtract from which
Step-by-step walkthrough
A shop buys an item for $60 and sells it for $75. What is the profit margin percentage?
- Calculate the profit: Selling Price - Cost Price = $75 - $60 = $15
- Divide profit by cost price: $15 / $60
- Convert to percentage: ($15 / $60) x 100
- Calculate: 0.25 x 100 = 25%
Answer: 25%