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 Question from Anson, a student: The cost price of a CD is $\$50$and its marked price is$\$105.$ If the selling price is $\$88,$find the profit percent. Hi Anson, If the cost price is$\$50$ and the selling price is $\$88$then the profit is$\$88 - \$50 = \$38.$ The problem in expressing this as a percentage is the necessity to ask "percentage of what?"

From the seller's point of view he bought the item for $\$50$and sold it for$\$88$ so his profit is $\large \frac{\$33}{\$50} \times \normalsize 100 = 66\%$ of what it cost him.

From the buyer's point of view he paid $\$88$so the profit of$\$38$ is $\large \frac{\$38}{\$88} \times \normalsize 100 = 43.2\%$ of what he paid for it.

I hope this helps,
Penny

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