SOLUTION: A certain type of piano costs the dealer $6,490. If the dealer wants to offer customers a discount of 15% off the price marked and still make a profit of 15%, what must be the mark
Question 1202096: A certain type of piano costs the dealer $6,490. If the dealer wants to offer customers a discount of 15% off the price marked and still make a profit of 15%, what must be the marked price of the piano to the nearest dollar? Answer by ikleyn(52931) (Show Source):
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A certain type of piano costs the dealer $6,490. If the dealer wants to offer customers a discount of 15% off
the price marked and still make a profit of 15%, what must be the marked price of the piano to the nearest dollar?
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Let x be the marked price, in dollars.
Then (x-0.15x) should be equal to 1.15*6490, or 0.85x = 1.15*6490 dollars.
From this equation, x = = 8780.5882.
It gives the ANSWER : the marked price should be $8781 (rounded to the nearest dollar).