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 Question from edward, a student: A shopkeeper marks his goods to gain 35%. He allows 10% discount for cash payment. What is his profit percent when he sells the goods for cash?

Hi Edward,

Suppose the storekeeper has some good that cost him $\$C.$If he marks up his goods to gain$35\%$then he adds$35\%$of$\$C$ to $\$C$to obtain the selling price. This the selling price$\$S$ is given by

$\S = \C + 0.35 \times C = 1.35 \times \C.$

If you pay cash then you get a $10\%$ discount so to you the selling price is $\$S - 0.10 \times \$S = 0.90 \times \$S.$In this case what is his profit as a percentage of$\$C?$

Penny

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