Calculating profit

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 7070 to buy and sells for 120120, the profit is 120−70=50120 - 70 = 50 dollars.
To turn that into a profit percent, divide the profit by the cost price and multiply by 100100. It is important to divide by the cost, not the selling price.
So the profit percent here is 5070×100≈71%\frac{50}{70} \times 100 \approx 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 4040 dollars and sells it for 6060. What is the profit?
Profit == selling price −- cost price.
60−40=2060 - 40 = 20 dollars.
The same bag cost 4040 and gave a profit of 2020. What is the profit percent?
Divide the profit by the cost price and multiply by 100100:
2040×100=50%\frac{20}{40} \times 100 = 50\%.
A watch is bought for 200200 and sold for 170170.
The profit is 170−200=−30170 - 200 = -30, a negative number, so it is a loss of 3030 dollars.
As a percent: −30200×100=−15%\frac{-30}{200} \times 100 = -15\%.

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