Q27. - Algebra 1

Question

A pair of \(25 jeans is on sale for 15% off. What is the sale price?

F. \)21.25

G. \(24.25

H. \)23.25

I. $22.25

Step-by-Step Solution

Answer

Option F is correct. The sale price is $21.25.

Step 1. Write the formula for Selling Price.

The sale price is given by:

$SP=MP\left(1-\frac{d}{100}\right)$

where $MP$ is the marked price and $d$ is the discount.

Step 2. Form the equation .

Put the values as:

$$\begin{gathered} MP=25 \\ d=15 \end{gathered}$$

The equation can be written as:

$$\begin{gathered} SP=MP\left(1-\frac{d}{100}\right) \\ SP=25\left(1-\frac{15}{100}\right) \end{gathered}$$

Step 3. Solve the equation.

The equation can be solved as follows:

$$\begin{gathered} SP=MP\left(1-\frac{d}{100}\right) \\ SP=25\left(1-\frac{15}{100}\right) \end{gathered}$$

     $$\begin{gathered} =25\left(\frac{100-15}{100}\right) \\ =25\left(\frac{85}{100}\right) \\ =\frac{85}{4} \\ =21.25 \end{gathered}$$

Therefore, the sale price is $21.25.