Question

Find ⓐ the amount of discount and ⓑ the discount rate.

Lena bought a kitchen table at the sale price of \($375.20$. The original price of the table was \)$560$.

Short answer

If Lena bought a kitchen table at the sale price of $$375.20$and the original price of the table was $$560$then

(a) The discount amount on the kitchen table was $$184.8$

(b) The discount rate on the kitchen table was $33$%.

Step-by-step solution

Step 1. Given information   

Original price$=\$560$

Sale price$=\$375.20$

Step 2. Part (a)  

Consider the amount of discount is d

The discount amount is the difference between the original price and sale price

$$\begin{gathered} d=560-375.20 \\ d=184.8 \end{gathered}$$

So the discount amount on the kitchen table was $$184.8$.

Step 3. Part (b)

Consider discount rate is r

The amount of discount $$184.8$ is rpercent of the original price $$560$

$$\begin{gathered} 184.8=r\left(560\right) \\ \frac{184.8}{560}=r \\ 0.33=r \\ r=33\% \end{gathered}$$

So the discount rate on the kitchen table was$33$%.