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# A team of three sales professionals, X, Y , and Z, divided a

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Senior Manager
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 475
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
A team of three sales professionals, X, Y , and Z, divided a  [#permalink]

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19 Mar 2012, 04:26
1
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:13) correct 27% (01:29) wrong based on 89 sessions

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A team of three sales professionals, X, Y , and Z, divided a \$35,000 commission amongst themselves. How much did Z receive?

(1) The ratio of the amount Z received to the amount that X and Y received was 2 : 5.
(2) The ratio of the amount X received to the amount that Y and Z received was 3 : 4.

Relatively easy question and even though I got the correct answer, I want to double check

Statement 1

2x+5x = 35000

7 x = 35000

x = 5000

Z received 10000. But my question is am I right in doing this way as the questions says the commission is divided between the 3.

Statement 2 is insufficient.

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E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

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Joined: 02 Sep 2009
Posts: 50585
Re: Team of 3 professionals  [#permalink]

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19 Mar 2012, 04:39
enigma123 wrote:
A team of three sales professionals, X, Y , and Z, divided a \$35,000 commission amongst themselves. How much did Z receive?

(1) The ratio of the amount Z received to the amount that X and Y received was 2 : 5.
(2) The ratio of the amount X received to the amount that Y and Z received was 3 : 4.

Relatively easy question and even though I got the correct answer, I want to double check

Statement 1

2x+5x = 35000

7 x = 35000

x = 5000

Z received 10000. But my question is am I right in doing this way as the questions says the commission is divided between the 3.

Statement 2 is insufficient.

Yes, your solution for (1) is correct. You could solve in another way too:

A team of three sales professionals, X, Y , and Z, divided a \$35,000 commission amongst themselves. How much did Z receive?

(1) The ratio of the amount Z received to the amount that X and Y received was 2 : 5 --> the ratio of the amount Z received to the TOTAL amount in 2/(2+5)=2/7 --> Z received 2/7*\$35,000=\$10,000. Sufficient.

(2) The ratio of the amount X received to the amount that Y and Z received was 3 : 4 --> the similar way we can say that Y and Z together received 4/(3+4)=4/7th of the total amount, so 4/7*\$35,000=\$20,000, but we don't know how much from this amount was Z's share. Not sufficient.

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GMAT 1: 740 Q49 V42
GMAT 2: 670 Q42 V40
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WE: Corporate Finance (Aerospace and Defense)
Re: Team of 3 professionals  [#permalink]

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19 Mar 2012, 04:40
Only thing I would add is that reason why 2 is insufficient is that you cannot tell how much goes to Y vs Z....

I know that was implied in your answer but figured I would put it in writing..
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Re: A team of three sales professionals, X, Y , and Z, divided a  [#permalink]

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23 Nov 2017, 23:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A team of three sales professionals, X, Y , and Z, divided a &nbs [#permalink] 23 Nov 2017, 23:34
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# A team of three sales professionals, X, Y , and Z, divided a

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