GMAT Official Guide 2019 Last year $48,000 of a

Expert replies

Previous Topic Next Topic

BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sat Jun 30, 2018 11:59 pm

Timer

00:00

Answers

Stats

Difficulty—

Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ?

A. $12,000

B. $9,000

C. $6,000

D. $4,000

E. $3,000

Like this post

Source: Beat The GMAT — Problem Solving | Sat Jun 30, 2018 11:59 pm

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sun Jul 01, 2018 2:02 am

BTGmoderatorDC wrote:Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ?

A. $12,000

B. $9,000

C. $6,000

D. $4,000

E. $3,000

We can PLUG IN THE ANSWERS, which represent the share for each owner.
Since the share for each owner is 3 times the share for each employee, the correct answer is almost certainly a multiple of 3 (A, B, C or E).
When the correct answer is plugged in, the total profit = 48,000.

B: $9000 for each of the 2 owners, implying $3000 for each of the 10 employees
Total profit = (2*9000) + (10*3000) = 18000 + 30000 = 48,000.
Success!

The correct answer is B.

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

Like this post

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sun Jul 01, 2018 4:42 am

BTGmoderatorDC wrote:Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ?

A. $12,000

B. $9,000

C. $6,000

D. $4,000

E. $3,000

Each owner received 3 times as much as each employee
Let E = the amount (in dollars) that ONE employee received
So, 3E = the amount (in dollars) that ONE owner received

Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees.
In other words: 3E + 3E + E + E + E + E + E + E + E + E + E + E = 48,000
Simplify: 16E = 48,000
So, E = 48,000/16
= 3,000

So, each EMPLOYEE received $3000, which means each OWNER received $9000
Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Like this post

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sun Jul 01, 2018 4:43 am

BTGmoderatorDC wrote:Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ?

A. $12,000

B. $9,000

C. $6,000

D. $4,000

E. $3,000

Although I believe it's best to use one variable to solve this question, we can also use two variables
Let's see how that solution would look.

Let x = the amount (in dollars) that ONE employee received
Let y = the amount (in dollars) that ONE owner received

Each owner received 3 times as much as each employee
So, we can write: y = 3x

Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees.
So, the total amount two owners received = y + y = 2y
The total amount 10 employees received = 10x
So, we can write: 10x + 2y = 48,000

At this point, we have the following system of linear equations:
y = 3x
10x + 2y = 48,000

When we solve this system (I'll leave it to you to do this), we get x = 3000 and y = 9000
So, each each OWNER received $9000

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Like this post

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8152; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Wed Jul 04, 2018 6:32 pm

BTGmoderatorDC wrote:Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ?

A. $12,000

B. $9,000

C. $6,000

D. $4,000

E. $3,000

We can let each employee's share = n and thus each owner's share = 3n, and we have:

48,000 = 2(3n) + 10n

48,000 = 16n

3,000 = n

So each owner received 3 x 3,000 = 9,000 dollars.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Like this post

ca7ch22: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Sat Oct 27, 2018 10:35 am

by ca7ch22 » Thu Mar 14, 2019 3:40 pm

[1] Assign Values

Employee = x
Owner = 3 Employee = 3x

[2] Plug in Values and Solve for x

10 Employees + 2 Owners = 48,000
10x + 2(3x) = 48,000
10x + 6x = 48,000
16x = 48,000
x = 3,000

[3] Solve for Owner

Owner = 3x
3(3,000) = 9,000

9,000 (Answer B)

Like this post

SampathKp: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Wed Nov 13, 2019 9:42 pm

by SampathKp » Wed Dec 18, 2019 8:05 pm

BTGmoderatorDC wrote:Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ?

A. $12,000

B. $9,000

C. $6,000

D. $4,000

E. $3,000

Let each employee get profit of X

hence each owner receives 3X

ten employees get 10X

10X+ 3X+ 3X = $48000
X = $3000
3X = $9000

Each owner received $9000 .

Answer is B

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review