Question

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

Nick bought a multi-room air conditioner at a sale price of \($340$. The original price of the air conditioner was \)$400$.

Short answer

If Nick bought a multi-room air conditioner at a sale price of $$340$ and the original price of the air conditioner was $$400$ then

(a) The discount amount on the multi-room air conditioner was $$60$

(b) The discount rate on the multi-room air conditioner was $15$%.

Step-by-step solution

Step 1. Given information   

Original price$=400$

Sale price$=340$

Step 2. Part (a) 

Consider the amount of discount is d

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

$$\begin{gathered} d=400-340 \\ d=60 \end{gathered}$$

So the discount amount on the multi-room air conditioner was $$60$.

Step 3. Part (b) 

Consider discount rate is r

The amount of discount $$60$ is rpercent of the original price $$400$

$$\begin{gathered} 60=r\left(400\right) \\ \frac{60}{400}=r \\ 0.15=r \\ r=15\% \end{gathered}$$

So the discount rate on the multi-room air conditioner was %$15$.