Question

At a sale, a desk is being sold for 74% of the regular price. The sale price is $703. What is the regular price?

Answer 1

Let x be the regular price. 74% of the regular, i.e. the discounted price, is

$d=\dfrac{74x}{100}=\dfrac{37x}{50}$

Since we know that d=703, we have

$\dfrac{37x}{50}=703$

Multiply both sides by 50

$37x=35150$

Divide both sides by 37:

$x = \dfrac{35150}{37}=950$