SOLUTION: A particular style of sunglasses costs the retailer $70 per pair. At what price should the retailer mark them so he can sell them at a 10% discount off the selling price and sti

Question 999708: A particular style of sunglasses costs the retailer
$70 per pair. At what price should the retailer mark them so he can sell them at a 10% discount off the selling price and still make 35% profit on his cost?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
cost = 70
he wants to make 35% profit on the cost.
this means he needs to sell them at 70 + .35 * 70 = 94.5 per pair.

if he wants to mark them so that 94.5 is the price after a 10% discount, then he needs to do the following:

let x = the markup price.

x - .10*x = 94.5

simplify to get .90 * x = 94.5

divide both sides of this equation by .9 to get:

x = 94.5 / .9 = 105.

he needs to mark them up to 105.

he then sells them at a 10% discount for .90 * 105 = 94.5

when he sell them at 94.5, his profit margin is (94.5 - 70) / 70 = 24.5 / 70 = .35 which is the same as 35%.

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