Respuesta :
Solution:
Given that a particular style of sunglasses costs the retailer $85 per pair.
This implies that
[tex]cost\text{ price = \$85}[/tex]To make a profit of 20% on his cost, he has to sell at the price of
[tex]\begin{gathered} \$85\text{ +\lparen}\frac{20}{100}\times85) \\ =\$102 \end{gathered}[/tex]To determine the mark price for which he can sell them at a 15% discount off the original price,
let
[tex]y\Rightarrow mark\text{ price}[/tex]Thus,
[tex]\begin{gathered} y-(\frac{15}{100}\times y)=102 \\ \Rightarrow y-0.15y=102 \\ 0.85y=102 \\ divide\text{ both sides by the coefficient of y, which is 0.85} \\ \frac{0.85y}{0.85}=\frac{102}{0.85} \\ \implies y=\$120 \end{gathered}[/tex]Therefore. the retailer should mark the price at $120.
