A particular style of sunglasses costs the retailer $70 $70 per pair. At what price should the retailer mark them so he can sel
l them at a 10% 10% discount off the original price and still make 35% 35% profit on his cost?
1 answer:
After the 10% discount on marked price (P), the selling price is ...
... P×(100% -10%) = 0.90P
After a markup off 35% on cost, the value is
... $70×(100% +35%) = 1.35×$70 = $94.50
The retailer wants these two values to be equal:
... 0.90P = $94.50
... P = $94.50/0.90 = $105.00 . . . . . divide by the coefficient of P
The marked price should be $105.00.
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