Question

a department store is having a bedding sale, with all the bedding is 25% off the original price, p. If the price for a bedding item during the sale can be represented by the expression 0.75 P, which expression also represents the price of the item? 1 - 0.25p1 - 0.75pp - 0.25pp - 0.75p

Answer 1

`\frac{\text{new price - original price}}{\text{original price}}\cdot100=-25`

The above equation represents this situation, where the new price is 25% off the original price. Calling P to the original price, and solving for new price,

`\begin{gathered} \frac{\text{new price - P}}{P}=-(25)/(100) \\ \frac{\text{new price - P}}{P}=-0.25 \\ \text{new price - P = -0.25}\cdot P \\ \text{new price = -0.25}\cdot P+P \\ \text{new price = }P\text{ - 0.25P} \\ \text{new price = 0.75}\cdot P \end{gathered}`

That is, the new price is 75% of the original price

The expression 1 - 0.25P also represents the price of the item