SOLUTION: Goods cost a merchant $72. At what price should he mark them so that he may sell them at a discount of 10% from his marked price and still make a profit of 20% on the selling price

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Question 936081: Goods cost a merchant $72. At what price should he mark them so that he may sell them at a discount of 10% from his marked price and still make a profit of 20% on the selling price?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Goods cost a merchant $72. At what price should he mark them so that he may sell them at a discount of 10% from his marked price and still make a profit of 20% on the selling price?
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Price at 20% profit:: 1.2*72 = 86.40
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Ans:: Price before 10% discount::: 1.10*86.40 = $95.04
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the marked price
+p+-+.1p+=+.9p+ is the price he sells them at
given:
+.9p+=+72+%2B+.2%2A72+
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+.9p+=+72+%2B+14.4+
+.9p+=+86.4+
+p+=+96+
He should mark the goods $96
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check:
+96+-+.1%2A96+=+.9%2A98+
+.9%2A98+=+86.4+
and
+72+%2B+.2%2A72+=+72+%2B+14.4+
+72+%2B+14.4+=+86.4+
OK