Question

At a sale this week, a desk is being sold for $414. This is a 28% discount from the original price. What is the original price?

Answer 1

From the problem, a desk costs $414 and the discount is 28%.

Let x = original price.

and d = discount

The equation for the discounted price is :

`p=x(1-d)`

So p = 414 and d = 0.28

Solve for x :

`\begin{gathered} 414=x(1-0.28) \\ 414=0.72x \\ x=(414)/(0.72) \\ x=575 \end{gathered}`

ANSWER :

The original price is $575