Discount

Discount

Secondary 1

Often, during a sale season, retailers will sell their merchandise for a discount and usually noted as a percentage discount, \(x\%\).

The marked price is the price before the stated discount. The sale price is the amount paid after that discount. The discount is the amount saved.

\(\text{Sale price}=\text{marked price}\times(1-x/100)\).

\({\mathrm{Discount} = \mathrm{Marked \ Price} - \mathrm{Sale \ Price}}\)

\({\mathrm{Percentage \ Discount} = \frac{\mathrm{Discount}}{\mathrm{Marked \ Price}} \times 100\%}\)

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Answer:\(\text{sale price}=\text{marked price}\times(100-x)\%\), and \(\text{discount}=\text{marked price}\hspace{0.5em}-\text{sale price}\). For the illustrated bicycle, the discount is \(\$69.50\) and the sale price is \(\$208.50\).

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