What was the amount of the gross profit????

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What was the amount of the gross profit????

by gmatpup » Sat Dec 24, 2011 9:25 am
Please explain! Thank you :)

A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the dealer's gross profit from the purchase and the sale of the desk?

A. $40
B. $60
C. $80
D. $90
E. $100
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by gmatpup » Sat Dec 24, 2011 9:27 am
Oops, sorry, forgot to include answer.

The answer is E

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by sam2304 » Sat Dec 24, 2011 10:15 am
CP = 150
SP = CP + Marked price (40% of SP)
SP = 150 + 0.4SP
0.6SP = 150
SP = 250

Profit = SP - CP = 250 - 150 = 100
IMO E.
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by GMATGuruNY » Sun Dec 25, 2011 5:30 am
gmatpup wrote:Please explain! Thank you :)

A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the dealer's gross profit from the purchase and the sale of the desk?

A. $40
B. $60
C. $80
D. $90
E. $100
We can plug in the answers, which represent the profit.
When the current answer choice is plugged in, the profit must be equal to the markup.

Answer choice C: profit = 80.
Selling price = profit + purchase price = 80+150 = 230.
Markup = 40% of the selling price = .4(230) = 92.
The profit is too small.
Eliminate A, B and C.

Answer choice D: profit = 90.
Selling price = profit + purchase price = 90+150 = 240.
Markup = 40% of the selling price = .4(240) = 96.
The profit is too small.
Eliminate D.

The correct answer is E.

Answer choice E: profit = 100.
Selling price = profit + purchase price = 100+150 = 250.
Markup = 40% of the selling price = .4(250) = 100.
Profit = markup = 100. Success!
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