applications

Question

A particular style of sunglasses costs the retailer $85 per pair. At what price should the retailer mark them so he can sell them at a 15% discount off the selling price and still make 30% profit on his cost?

Answer 1

let x be the amount to mark up the price

85%(85+x)=85+30%(85)  (or 1.3*85)

0.85(85+x)=85+0.3(85)

0.85(85)+0.85x=85+25.5

72.25+0.85x=110.5

0.85x=110.5-72.25

0.85x=38.25

85x=3825

x=3825/85

x=45

mark up the glasses $45 to $85+$45=$130

the glasses should be sold for $130