Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split even

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

by BTGmoderatorDC » Mon Jul 13, 2020 7:19 pm

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Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?

A. q/4
B. q/5
C. q/6
D. q/7
E. q/8

OA E

Source: Manhattan Prep

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Source: Beat The GMAT — Problem Solving | Mon Jul 13, 2020 7:19 pm

swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split

by swerve » Tue Jul 14, 2020 5:08 am

BTGmoderatorDC wrote: ↑
Mon Jul 13, 2020 7:19 pm
Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?

A. q/4
B. q/5
C. q/6
D. q/7
E. q/8

OA E

Source: Manhattan Prep

Plug in some values and check

Case - I

Let profit = 8 ( LCM of 1/2 and 1/4 )
Company’s founder got = 4 , amount left is = 4
Each partner got = 1 ( i,e 1/8th of total Profit )

Case - II

Let profit = 16
Company’s founder got = 8 , amount left is = 8
Each partner got = 2 ( i,e 1/8th of total Profit )

Therefore, E

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8176; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split

by Scott@TargetTestPrep » Fri Jul 17, 2020 6:53 am

BTGmoderatorDC wrote: ↑
Mon Jul 13, 2020 7:19 pm
Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?

A. q/4
B. q/5
C. q/6
D. q/7
E. q/8

OA E

Solution:

The founder received q/2 of the profit, and the remaining q/2 was divided among the four partners. Each partner received:

(q/2) / 4 = q/8 dollars in profit.

Answer: E

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

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