Question

A suit was marked with a 20% discount.If the discount is $40.00, what was the original price of the suit?

Answer 1

Discount is the reduction in the price of a commodity

Step1: Define a parameter for the unknown

`\begin{gathered} The\text{ unknown price is the original price of the suit } \\ \text{let the original price be x} \end{gathered}`

Step2: Write out the formula

The discount on a commodity is given by

`\text{ Discount\%= }\frac{\text{Discount}}{\text{original price }}*100`

Step3; Write out the information given

`\begin{gathered} \text{ Discount\%=20\%} \\ \text{ Discount=\$40} \\ \text{ original price=x} \end{gathered}`

Step4: Substitute the parameters into the formula

`\begin{gathered} \text{ Discount\%= }\frac{\text{Discount}}{\text{original price }}*100 \\ \\ 20=(40)/(x)*100 \\ 20x=4000 \end{gathered}`

Then divide both sides by 20

`\begin{gathered} (20x)/(20)=(4000)/(20) \\ x=200 \end{gathered}`

Hence, the