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Furniture Dealer probelm

Expert replies
by gdshamain » Wed May 21, 2014 9:03 am
Please help with this problem.

Thanks in advance.
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Source: — Problem Solving |

by GMATGuruNY » Wed May 21, 2014 9:38 am
A furniture dealer purchased a desk for $150 and then set the selling price equal to purchasing price plus a markup that was 40% of selling price. If the dealer sold the desk at selling price, what was the amount of 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 D: profit = 90.
Selling price = profit + purchase price = 90+150 = 240.
Markup = 40% of the selling price = .4(240) = 96.
Here, the profit is LESS than the markup.
Eliminate D.

Since the profit must be a greater value, 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.
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by Brent@GMATPrepNow » Wed May 21, 2014 9:47 am
A furniture dealer purchased a desk for $150 and then set the selling price equal to purchasing price plus a markup that was 40% of selling price. If the dealer sold the desk at selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?

A. $40
B. $60
C. $80
D. $90
E. $100
Let S = the selling price

The dealer ... set the selling price equal to purchasing price ($150) plus a markup that was 40% of selling price.
So, the markup = 0.4S
In other words: S = 150 + 0.4S
Subtract 0.4S from both sides to get: 0.6S = 150
Solve: S = 250
In other words, the selling price was $250

What was the dealer's gross profit from the purchase and the sale of the desk?
The profit = $250 - $150 = [spoiler]$100 = E[/spoiler]

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by gdshamain » Wed May 21, 2014 12:24 pm
Thank you.
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by gdshamain » Wed May 21, 2014 12:26 pm
Thank you.
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