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# M19-16

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Math Expert
Joined: 02 Sep 2009
Posts: 52294

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16 Sep 2014, 00:06
2
7
00:00

Difficulty:

35% (medium)

Question Stats:

78% (01:50) correct 22% (03:02) wrong based on 179 sessions

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In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided

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Math Expert
Joined: 02 Sep 2009
Posts: 52294

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16 Sep 2014, 00:06
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided

To make sure that the question cannot be answered imagine two scenarios.
1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.

_________________
Intern
Joined: 21 May 2014
Posts: 11
GMAT 1: 710 Q49 V38

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27 Oct 2014, 12:30
I dont understand the solution. My reasoning was that 65% of Managers receive salaries on the 10th, which means that 35% M receive salaries on the 20th. 79% of employees who receive salary on the 20th are not managers - this means that 21% are managers. Based on this logic, 21% of Empl = 35 % of Managers. We get a 3 E = 5 M ratio...
Would really appreciate a response...
Math Expert
Joined: 02 Sep 2009
Posts: 52294

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28 Oct 2014, 03:26
lmavriqi wrote:
I dont understand the solution. My reasoning was that 65% of Managers receive salaries on the 10th, which means that 35% M receive salaries on the 20th. 79% of employees who receive salary on the 20th are not managers - this means that 21% are managers. Based on this logic, 21% of Empl = 35 % of Managers. We get a 3 E = 5 M ratio...
Would really appreciate a response...

21% of those paid on the 20th are managers, it doesn't mean that 21% of all employees are managers. Try to use the 2 X 2 table method and you will see that you cannot fill it out.
_________________
Intern
Joined: 30 Jul 2014
Posts: 4
GMAT 1: 540 Q40 V25
GMAT 2: 580 Q47 V24

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28 Oct 2014, 03:34
lmavriqi

The Answer to the question is E.

If we carefully observe the question again , we can split the question into 2 parts.

1. Which says : 65 percent of all managers are paid on 10th of each month -- From this its clear that 65% of Managers are paid on 10th. But we don't have any information regarding the percent of non managers paid on 10th. It can be that 95% of all the non managers in the company could be paid on 10th or only 5% could be paid.. So this point adds nothing to our conclusion.

2. Which says : 79% of employees who are paid on 20th of each month are not managers -- From this , we can say that 21% employees are 35% of managers. But what about the remaining 79 % employees paid?? Are the 79% employees paid on 20th = 5 % of the non managers who were not paid on 10th?? or Are the 79 % employees paid on 20th = the 95% of non managers who were not paid on 10th...

So we cannot exactly say as to how many employees the 79% corresponds to...

+1 Kudos if you like my reply..
Senior Manager
Joined: 08 Jun 2015
Posts: 432
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33

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25 Jun 2016, 07:50
2 X 2 table method works well. Eventually , you will realize that you can not fill it out.
_________________

" The few , the fearless "

Intern
Joined: 26 Oct 2016
Posts: 26

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17 Aug 2017, 02:03
Bunuel wrote:
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided

To make sure that the question cannot be answered imagine two scenarios.
1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.

Bunuel,
Can you please show with the 2x2 matrix, I find it lil confusing.
Math Expert
Joined: 02 Sep 2009
Posts: 52294

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17 Aug 2017, 03:22
ezzo wrote:
Bunuel wrote:
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided

To make sure that the question cannot be answered imagine two scenarios.
1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.

Bunuel,
Can you please show with the 2x2 matrix, I find it lil confusing.

Check below:
Attachment:
Untitled.png

>> !!!

You do not have the required permissions to view the files attached to this post.

_________________
Intern
Joined: 26 Oct 2016
Posts: 26

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17 Aug 2017, 06:05
Bunuel wrote:
ezzo wrote:
Bunuel wrote:
Official Solution:

In a certain company, employees receive their salary on a monthly basis and are paid on either 10th or 20th of each month. If 65 percent of all managers are paid on 10th of each month and 79% of employees who are paid on 20th of each month are not managers, what percent of the company employees are managers?

A. 12%
B. 15%
C. 20%
D. 21%
E. the answer cannot be derived from the data provided

To make sure that the question cannot be answered imagine two scenarios.
1. Few of the company employees are managers and few employees are paid on the 20th. The situation described in the stem is possible.
2. Almost half of the company employees are managers and almost half of the employees are paid on the 20th. The situation described in the stem is still possible.

Bunuel,
Can you please show with the 2x2 matrix, I find it lil confusing.

Check below:
Attachment:
Untitled.png

Thanks for the fast reply as usual:) ,the matrix cleared my doubt.
Manager
Joined: 26 Dec 2017
Posts: 158

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22 Jan 2018, 20:26
Hi Bunuel,
let me know if my understanding was correct.
In the above 2x2 table posted manager column will be .65x and .21y and total x.
which means .65x+.21y=x =>.21y=.35x
from above we will percent of managers getting paid on 20th but not out of total employees so insuff
_________________

--If you like my post pls give kudos

Math Expert
Joined: 02 Sep 2009
Posts: 52294

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22 Jan 2018, 20:34
1
tejyr wrote:
Hi Bunuel,
let me know if my understanding was correct.
In the above 2x2 table posted manager column will be .65x and .21y and total x.
which means .65x+.21y=x =>.21y=.35x
from above we will percent of managers getting paid on 20th but not out of total employees so insuff

_________________
Re: M19-16 &nbs [#permalink] 22 Jan 2018, 20:34
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# M19-16

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