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# A computer appliance dealer bought a computer at a wholesale price of

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Re: A computer appliance dealer bought a computer at a wholesale price of [#permalink]
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michaelkalend wrote:
A computer appliance dealer bought a computer at a wholesale price of $500 and then sold it at a 20 percent discount off the suggested retail price. If the dealer made a 12 percent profit on the wholesale price, what was the suggested retail price of the computer? A)$560
B) $580 C)$660
D) $700 E)$730

Wholesale price of computer = $500 Let the retail price be X. Dealer made 12% profit on wholesale price = 20% discount on retail price 112% of 500 = 80% of X $$\frac{112}{100}$$ x 500 = $$\frac{80}{100}$$ * X 560 = $$\frac{80}{100}$$ * X X = $$\frac{560 * 100}{80}$$ =$700

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Re: A computer appliance dealer bought a computer at a wholesale price of [#permalink]
Option D, I did it this way:
Find out the SP of the product, which will be $560 at 12% profit. Now we need to find RP from the given options. So hit and trial with a little common sense for me and$700 will be the answer. I believe a lot of arithmetic questions can be done with hit and trial but not all.
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Re: A computer appliance dealer bought a computer at a wholesale price of [#permalink]
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michaelkalend wrote:
A computer appliance dealer bought a computer at a wholesale price of $500 and then sold it at a 20 percent discount off the suggested retail price. If the dealer made a 12 percent profit on the wholesale price, what was the suggested retail price of the computer? A)$560
B) $580 C)$660
D) $700 E)$730

We can let r = the suggested retail price of the computer.

Since the dealer sold the computer at a 20% discount off the suggested retail price, the dealer sold the computer for 0.8r. Since the dealer made a 12% profit, we can create the following equation to determine r:

revenue - cost = 0.12(cost)

0.8r - 500 = 0.12(500)

0.8r - 500 = 60

0.8r = 560

r = 560/0.8 = 700

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Re: A computer appliance dealer bought a computer at a wholesale price of [#permalink]
"bought a computer at a wholesale price of \$500"
W = Wholesale price
W = 500

"sold it at a 20 percent discount off the suggested retail price"
S = Selling price
R = Retail price
S = (.8)(R)

"the dealer made a 12 percent profit on the wholesale price"
aka, the dealers selling price is 12% of the wholesale price + the wholesale price
S = (1.12)(W)

(.8)(R) = (1.12)(W)
(.8)(R) = (1.12)(500)
(.8)(R) = 560
(4/5)(R) = 560
R = 560 * (5/4)
R = 2800/4
R = 700
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Re: A computer appliance dealer bought a computer at a wholesale price of [#permalink]
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Re: A computer appliance dealer bought a computer at a wholesale price of [#permalink]
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