Furniture Dealer probelm

This topic has expert replies
Source: — Problem Solving |

User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

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.
Success!
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

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
Image

Senior | Next Rank: 100 Posts
Posts: 41
Joined: Thu Jan 09, 2014 10:45 pm

by gdshamain » Wed May 21, 2014 12:24 pm
Thank you.

Senior | Next Rank: 100 Posts
Posts: 41
Joined: Thu Jan 09, 2014 10:45 pm

by gdshamain » Wed May 21, 2014 12:26 pm
Thank you.