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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?

Sagot :

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 :

[tex]p=x(1-d)[/tex]

So p = 414 and d = 0.28

Solve for x :

[tex]\begin{gathered} 414=x(1-0.28) \\ 414=0.72x \\ x=\frac{414}{0.72} \\ x=575 \end{gathered}[/tex]

ANSWER :

The original price is $575

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