An SAT Math micro-topic under Percentages (Problem solving and data analysis). Free to read — no account needed.
Profit is how much you gain from a sale. In dollars, it is simply the selling price minus the cost price. If something costs 70 to buy and sells for 120, the profit is 120−70=50 dollars.
To turn that into a profit percent, divide the profit by the cost price and multiply by 100. It is important to divide by the cost, not the selling price. So the profit percent here is 7050×100≈71%.
If the selling price is below the cost price, the profit comes out negative, which is a loss. It is worked out the same way.
Worked examples
A shop buys a bag for 40 dollars and sells it for 60. What is the profit? Profit = selling price − cost price. 60−40=20 dollars.
The same bag cost 40 and gave a profit of 20. What is the profit percent? Divide the profit by the cost price and multiply by 100: 4020×100=50%.
A watch is bought for 200 and sold for 170. The profit is 170−200=−30, a negative number, so it is a loss of 30 dollars. As a percent: 200−30×100=−15%.
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