Profit Percentage Formula with Examples
What Is Profit Percentage?
Profit percentage is a measure of how much profit a business or individual makes relative to the cost of a product or investment, expressed as a percentage. It tells you not just how much money was made, but how efficient and profitable the transaction was compared to what was spent.
For example, if you buy a product for $100 and sell it for $120, your profit is $20. But expressing that as a percentage — 20% — instantly tells you the profitability relative to the investment. This makes profit percentage one of the most important metrics in business, trade, and personal finance.
Profit percentage is used by shopkeepers, traders, investors, manufacturers, and businesses of all sizes to evaluate performance, set prices, and compare profitability across different products or time periods.
Key Terms You Must Know
Before applying the formula, it is important to understand these four terms:
Cost Price (CP) — The price at which a product is purchased or produced. Also called the buying price.
Selling Price (SP) — The price at which a product is sold to the customer.
Profit — When the selling price is greater than the cost price. Profit = SP − CP
Loss — When the selling price is less than the cost price. Loss = CP − SP
The Profit Percentage Formula
The standard formula for profit percentage is:
Profit Percentage = (Profit / Cost Price) × 100
Or written in full:
Profit % = [(SP − CP) / CP] × 100
Where:
- SP = Selling Price
- CP = Cost Price
You can rearrange this formula to find other unknowns:
- To find Profit: Profit = SP − CP
- To find Selling Price: SP = CP × (1 + Profit% / 100)
- To find Cost Price: CP = SP / (1 + Profit% / 100)
- To find Profit on Selling Price: Profit% on SP = (Profit / SP) × 100
Step-by-Step Examples
Example 1 — Basic Profit Percentage
Problem: A shopkeeper buys a bag for $200 and sells it for $250. What is the profit percentage?
CP = 200, SP = 250
Profit = SP − CP = 250 − 200 = 50
Profit % = (Profit / CP) × 100
Profit % = (50 / 200) × 100
= 0.25 × 100
Answer: 25% profit
Example 2 — Finding the Selling Price
Problem: A trader buys goods for $400 and wants to make a 15% profit. What should the selling price be?
CP = 400, Profit % = 15
SP = CP × (1 + Profit% / 100)
SP = 400 × (1 + 15/100)
SP = 400 × 1.15
Answer: SP = $460
Example 3 — Finding the Cost Price
Problem: A person sells a watch for $330 at a profit of 10%. What was the cost price?
SP = 330, Profit % = 10
CP = SP / (1 + Profit% / 100)
CP = 330 / (1 + 10/100)
CP = 330 / 1.10
Answer: CP = $300
Example 4 — Profit Percentage on Selling Price
Problem: A product is bought for $150 and sold for $200. What is the profit percentage calculated on the selling price?
CP = 150, SP = 200
Profit = SP − CP = 200 − 150 = 50
Profit % on SP = (Profit / SP) × 100
Profit % on SP = (50 / 200) × 100
Answer: 25% profit on selling price
Note: Profit percentage on cost price = (50/150) × 100 = 33.33%. The two results are different because the base is different.
Example 5 — Profit After Overhead Costs
Problem: A manufacturer produces a item for $500. He spends $100 on packaging and transport. He sells it for $720. What is his profit percentage?
Total CP = 500 + 100 = 600
SP = 720
Profit = 720 − 600 = 120
Profit % = (120 / 600) × 100
Answer: 20% profit
Example 6 — Comparing Two Products by Profit Percentage
Problem: Product A costs $50 and sells for $65. Product B costs $200 and sells for $240. Which product has a higher profit percentage?
Product A:
Profit = 65 − 50 = 15
Profit % = (15 / 50) × 100 = 30%
Product B:
Profit = 240 − 200 = 40
Profit % = (40 / 200) × 100 = 20%
Answer: Product A has a higher profit percentage (30%) even though Product B generates more absolute profit ($40 vs $15).
This example shows why profit percentage is more useful than raw profit figures when comparing products.
Profit vs Loss — Side by Side
| Situation | Formula | Example |
|---|---|---|
| Profit | SP > CP | CP = $100, SP = $130 → Profit = $30 |
| Profit % | (Profit / CP) × 100 | (30/100) × 100 = 30% |
| Loss | CP > SP | CP = $100, SP = $85 → Loss = $15 |
| Loss % | (Loss / CP) × 100 | (15/100) × 100 = 15% |
Quick Reference — Profit Percentage Formulas
| What to Find | Formula |
|---|---|
| Profit | SP − CP |
| Loss | CP − SP |
| Profit Percentage | (Profit / CP) × 100 |
| Loss Percentage | (Loss / CP) × 100 |
| Selling Price (with profit) | CP × (1 + Profit% / 100) |
| Selling Price (with loss) | CP × (1 − Loss% / 100) |
| Cost Price (from profit) | SP / (1 + Profit% / 100) |
| Cost Price (from loss) | SP / (1 − Loss% / 100) |
Related Formulas
Profit percentage connects directly to several other important formulas:
- Percentage Formula — Profit percentage is a direct application of the basic percentage formula applied to cost and selling price. [See Percentage Formula →]
- Percentage Increase Formula — Profit is essentially a percentage increase over the cost price. [See Percentage Increase Formula →]
- Percentage Decrease Formula — Loss percentage is a percentage decrease from the cost price. [See Percentage Decrease Formula →]
- Discount Formula — Discounts reduce the selling price and directly affect profit percentage. [See Discount Formula →]
- Simple Interest Formula — Interest earned on investments is another form of financial gain similar to profit. [See Simple Interest Formula →]
- Average Formula — Average profit percentage across multiple products or periods is a key business metric. [See Average Formula →]
Internal Links
Percentage Decrease Formula with Examples
Percentage Formula with Examples
Frequently Asked Questions (FAQ)
Q1. What is the profit percentage formula?
The profit percentage formula is: Profit % = (Profit / Cost Price) × 100. Where Profit = Selling Price − Cost Price. It expresses the profit earned as a percentage of the original cost price.
Q2. What is the difference between profit percentage on cost price and on selling price?
Profit percentage on cost price uses CP as the base: (Profit / CP) × 100. Profit percentage on selling price uses SP as the base: (Profit / SP) × 100. Both are valid but give different results. In most standard calculations, profit percentage is measured on cost price.
Q3. How do you find the selling price when profit percentage is given?
Use the formula: SP = CP × (1 + Profit% / 100). For example, if CP = $500 and profit% = 20%, then SP = 500 × 1.20 = $600.
Q4. How do you find the cost price when selling price and profit percentage are given?
Use the formula: CP = SP / (1 + Profit% / 100). For example, if SP = $660 and profit% = 10%, then CP = 660 / 1.10 = $600.
Q5. Can profit percentage be more than 100%?
Yes. A profit percentage above 100% means you earned more than the original cost. For example, buying something for $50 and selling it for $120 gives a profit of $70, which is a 140% profit on cost price. This is common in high-margin businesses and investments.
Q6. What is the difference between profit percentage and profit margin?
Profit percentage is calculated on cost price: (Profit / CP) × 100. Profit margin is calculated on selling price: (Profit / SP) × 100. Profit margin is widely used in accounting and financial reporting, while profit percentage on cost price is more common in trade and commerce.
Summary
The profit percentage formula — Profit % = (Profit / Cost Price) × 100 — is one of the most essential calculations in business and commerce. It tells you how much profit you are making relative to what you spent, giving a clear measure of financial performance.
Always identify the cost price and selling price correctly before applying the formula. Use the rearranged versions to find the selling price when a target profit is set, or to reverse-calculate the cost price from a known selling price and profit percentage.
Understanding profit percentage alongside loss percentage, discount formula, and percentage increase gives you a complete toolkit for analyzing any business transaction or financial decision.