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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 even

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

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A

B

C

D

E

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Difficulty—

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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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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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



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