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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
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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 = %281.15%2A6490%29%2F0.85 = 8780.5882.


It gives the ANSWER :  the marked price should be $8781  (rounded to the nearest dollar).

Solved (with explanations).