Question

1. brandons furniture store buys a sofa at wholesale, but marks it up by $38.80. if the markup rate at brandons furniture store is 40%, what is the wholesale (original) price for the sofa? 6. bob got a 45% employee discount from eating at work. this meant he got $11.52 off his bill. how much was the original bill?

Explanation:

Step1: Set up the equation for markup

Let the wholesale price be \(x\). The markup rate is \(40\%=\frac{40}{100} = 0.4\). The markup amount is \(0.4x\), and the selling - price (marked - up price) is \(x+0.4x=1.4x\). We know that the markup amount is \(38.80\), so \(0.4x = 38.80\).

Step2: Solve for \(x\)

Divide both sides of the equation \(0.4x=38.80\) by \(0.4\). Using the formula \(x=\frac{38.80}{0.4}\).

$$x=\frac{38.80}{0.4}=\frac{38.80\times10}{0.4\times10}=\frac{388}{4}=97$$

Step1: Set up the equation for discount

Let the original bill be \(y\). The discount rate is \(45\%=\frac{45}{100}=0.45\). The amount of the discount is \(0.45y\), and we know that \(0.45y = 11.52\)

Step2: Solve for \(y\)

Divide both sides of the equation \(0.45y=11.52\) by \(0.45\). Using the formula \(y=\frac{11.52}{0.45}\)

$$y=\frac{11.52}{0.45}=\frac{11.52\times100}{0.45\times100}=\frac{1152}{45}=25.6$$

Answer:

The wholesale price of the sofa is \(\$97\)