Math CentralQuandaries & Queries


Question from tashana, a student:

By selling an article for $\$320,$ the profit was 20% of the cost price. What was the cost price of the article?

Hi Tashana,

You can use the information in your problem to create an equation.

The selling price is the sum of the cost and the profit. You don't know the cost so I am going to call it $\$C.$ The profit is 20% of the cost so the profit is $0.20 \times \$C.$ The equation is then that $\$320$ is the sum of $\$C$ and $0.20 \times \$C.$ Solve for $\$C.$


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