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

SOLUTION

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

$\text{ Discount\%= }\frac{\text{Discount}}{\text{original price }}\times100$

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

$\begin{gathered} \text{ Discount\%= }\frac{\text{Discount}}{\text{original price }}\times100 \\ \\ 20=\frac{40}{x}\times100 \\ 20x=4000 \end{gathered}$

Then divide both sides by 20

$\begin{gathered} \frac{20x}{20}=\frac{4000}{20} \\ x=200 \end{gathered}$

Hence, the