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# Among all sales staff at Listco Corporation, college graduat

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Senior Manager
Joined: 10 Jul 2013
Posts: 316

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15 Aug 2013, 10:09
2
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Difficulty:

35% (medium)

Question Stats:

76% (02:37) correct 24% (03:13) wrong based on 155 sessions

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Among all sales staff at Listco Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Listco's sales staff. Listco employs 72 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
(A) 46
(B) 42
(C) 56
(D) 32
(E) 58

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Asif vai.....

Director
Joined: 14 Dec 2012
Posts: 795
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
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15 Aug 2013, 10:22
1
1
Asifpirlo wrote:
Among all sales staff at Listco Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Listco's sales staff. Listco employs 72 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
(A) 46
(B) 42
(C) 56
(D) 32
(E) 58

since both with degree and without degree are equally represented means they are equal in number = let say =$$x$$
hence total will be =$$x+x = 2x$$

now level 1
$$30$$ are with degree therefore without degree =$$72 - 30 = 42$$
now this 30 = 15 % of total =$$\frac{15}{100} X 2x$$
on solving we get $$x= 100$$
now if $$42$$ without degree are in level 1...therefore no. of without degree in level 2 = $$x - 42 = 100 - 42 = 58$$

hence E
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Senior Manager
Joined: 10 Jul 2013
Posts: 316

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15 Aug 2013, 10:34
blueseas wrote:
Asifpirlo wrote:
Among all sales staff at Listco Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Listco's sales staff. Listco employs 72 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
(A) 46
(B) 42
(C) 56
(D) 32
(E) 58

since both with degree and without degree are equally represented means they are equal in number = let say =$$x$$
hence total will be =$$x+x = 2x$$

now level 1
$$30$$ are with degree therefore without degree =$$72 - 30 = 42$$
now this 30 = 15 % of total =$$\frac{15}{100} X 2x$$
on solving we get $$x= 100$$
now if $$42$$ without degree are in level 1...therefore no. of without degree in level 2 = $$x - 42 = 100 - 42 = 58$$

hence E

Nice works friend.............speed king blueseas
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Asif vai.....

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Joined: 06 Sep 2013
Posts: 1820
Concentration: Finance

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29 Apr 2014, 09:05
I'm going in on this one.

So let's say that we have the following

So we know that L1 = 72 and that C and L1 = 0.15X , we should set up a double set matrix btw but anyways, I'm just explaining the point with this problem. Now we are told that 0.15x = 30, therefore the grand total is 200. Now we know that L2 is 200 - 72 = 128. We also learn that C and No C are equally represented thus 100 each. Therefore No C and No L2 will be 100 - 42 = 58.

Thus E is the correct answer choice

Hope its clear even without the double set matrix, If you need graphical assistance please let me know

Cheers!
J
Director
Joined: 23 Jan 2013
Posts: 591
Schools: Cambridge'16

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01 Aug 2015, 00:08
-----------College--------Non-College--------Total

Lev.1------30---------------42-----------------72

Lev.2------------------------X------------------

Total------100-------------100-----------------200

(100/15)*30=200 is total staff number with college and non-college have each 100

So, 100-42=58

E
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Joined: 09 Sep 2013
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04 Mar 2017, 12:33
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Re: Among all sales staff at Listco Corporation, college graduat &nbs [#permalink] 04 Mar 2017, 12:33
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