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In Net's hair salon 42% of the customers dye their hair blond, 36% dye

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Manager
Joined: 04 Aug 2013
Posts: 97
Location: India
Schools: McCombs '17
GMAT 1: 670 Q47 V35
GPA: 3
WE: Manufacturing and Production (Pharmaceuticals and Biotech)
In Net's hair salon 42% of the customers dye their hair blond, 36% dye  [#permalink]

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27 Oct 2014, 19:55
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Difficulty:

45% (medium)

Question Stats:

71% (02:25) correct 29% (02:41) wrong based on 185 sessions

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In Net's hair salon 42% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?

A 5%
B 9%
C 12%
D 15%
E 21%
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Status: I am not a product of my circumstances. I am a product of my decisions
Joined: 20 Jan 2013
Posts: 119
Location: India
Concentration: Operations, General Management
GPA: 3.92
WE: Operations (Energy and Utilities)
Re: In Net's hair salon 42% of the customers dye their hair blond, 36% dye  [#permalink]

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27 Oct 2014, 21:52
1
anceer wrote:
In Net's hair salon 42% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?

A 5%
B 9%
C 12%
D 15%
E 21%

Let a total of 100 people visit the salon.
Total = 100
Dye hair blonde (A) = 42 % = 42
Dye Eyebrows blonde (B) = 36% = 36
Straighten Hair (C) = 35% = 35
Neither = 20% = 20
All Three = 12% =12

Total = A+B+C - (Sum of Exactly Two group overlaps) - 2*(All three) + Neither

100 = 42+36+35 - (Sum of Exactly Two group overlaps) - 2*12 + 20

(Sum of Exactly Two group overlaps) = 9

%of customers coming for exactly 2 of the 3 procedures = 9%
Math Expert
Joined: 02 Sep 2009
Posts: 50007
In Net's hair salon 42% of the customers dye their hair blond, 36% dye  [#permalink]

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28 Oct 2014, 04:00
anceer wrote:
In Net's hair salon 42% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?

A 5%
B 9%
C 12%
D 15%
E 21%

Check this: ADVANCED OVERLAPPING SETS PROBLEMS

Hope it helps.
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Intern
Joined: 30 Oct 2010
Posts: 49
Re: In Net's hair salon 42% of the customers dye their hair blond, 36% dye  [#permalink]

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18 Nov 2015, 17:10
Bunuel wrote:
anceer wrote:
In Net's hair salon 42% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?

A 5%
B 9%
C 12%
D 15%
E 21%

Check this: ADVANCED OVERLAPPING SETS PROBLEMS

Hope it helps.

Hi Bunuel,

I was trying to solve this using (AUBUC)=A+B+C-AnB-AnC-BnC+AnBnC

But didnt get the OA,what am i missing?

Regards,
Karthik
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Joined: 09 Sep 2013
Posts: 8474
Re: In Net's hair salon 42% of the customers dye their hair blond, 36% dye  [#permalink]

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17 Oct 2017, 11:25
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Re: In Net's hair salon 42% of the customers dye their hair blond, 36% dye &nbs [#permalink] 17 Oct 2017, 11:25
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