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In a survey conducted for three perfumes, it was found that 40% of the 30 Jan 2019, 03:51
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C
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35% (medium)

Question Stats:

71% (02:07) correct 29% (02:41) wrong based on 174 sessions

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In a survey conducted for three perfumes, it was found that 40% of the respondents used Fa, 25% used Havoc, 60% used Nido, 16% used none of the three perfumes whereas 15% of the respondents used exactly two of the three perfumes. What % of the respondents used all three perfumes?

A. 7%
B. 12%
C. 13%
D. 20%
E. 22%
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C
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GMAT Focus 1: 735 Q90 V89 DI81
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In a survey conducted for three perfumes, it was found that 40% of the 30 Jan 2019, 04:44
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selim
In a survey conducted for three perfumes, it was found that 40% of the respondents used Fa, 25% used Havoc, 60% used Nido, 16% used none of the three perfumes whereas 15% of the respondents used exactly two of the three perfumes. What % of the respondents used all three perfumes?

A)7%
B)12%
C)13%
D)20%
E)22%
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A very straight forward answer..

Total = Sum of each -sum of two together-2*all three+ neither
100=40+25+60-15-2*T+16
2T=25-15+16=26
T=13%

with Venn diagram..
40+25+60 = (a+b+d+e)+(b+c+e+f)+(d+e+f+g)=a+2b+c+2d+3e+2f+g=(a+b+c+d+e+f)+(b+d+f)+2g = (100-16)+15+2g=99+2g
2g=125-99=26...g=13
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In a survey conducted for three perfumes, it was found that 40% of the 30 Jan 2019, 04:49
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Total = Use Fa +Use Havoc + Use Nido + Use none - Use 2 of the perfumes - 2*(use all three perfumes) =100%

Translating into numbers:


100= 40+25+60+16-15-2X

where X is the percentage of respondents that used all 3 perfumes.

Solving the previous equation the result is X=13, so C should be the correct answer.
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In a survey conducted for three perfumes, it was found that 40% of the 30 Jan 2019, 06:51
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selim
In a survey conducted for three perfumes, it was found that 40% of the respondents used Fa, 25% used Havoc, 60% used Nido, 16% used none of the three perfumes whereas 15% of the respondents used exactly two of the three perfumes. What % of the respondents used all three perfumes?

A)7%
B)12%
C)13%
D)20%
E)22%
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let total =100
100=40+25+60+16-15-2(x)
-26=-2x
x=13
IMO C
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In a survey conducted for three perfumes, it was found that 40% of the 30 Jan 2019, 18:13
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Sir,

I think sum of two together and sum of only two together, both are quite different terms.

chetan2u
selim
In a survey conducted for three perfumes, it was found that 40% of the respondents used Fa, 25% used Havoc, 60% used Nido, 16% used none of the three perfumes whereas 15% of the respondents used exactly two of the three perfumes. What % of the respondents used all three perfumes?

A)7%
B)12%
C)13%
D)20%
E)22%

A very straight forward answer..

Total = Sum of each -sum of two together-2*all three+ neither
100=40+25+60-15-2*T+16
2T=25-15+16=26
T=13%

with Venn diagram..
40+25+60 = (a+b+d+e)+(b+c+e+f)+(d+e+f+g)=a+2b+c+2d+3e+2f+g=(a+b+c+d+e+f)+(b+d+f)+2g = (100-16)+15+2g=99+2g
2g=125-99=26...g=13
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In a survey conducted for three perfumes, it was found that 40% of the 01 Feb 2019, 18:40
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selim
In a survey conducted for three perfumes, it was found that 40% of the respondents used Fa, 25% used Havoc, 60% used Nido, 16% used none of the three perfumes whereas 15% of the respondents used exactly two of the three perfumes. What % of the respondents used all three perfumes?

A)7%
B)12%
C)13%
D)20%
E)22%
Show more


Letting n = the percentage of respondents who used all three perfumes, we can create the equation:

100 = 40 + 25 + 60 - 15 - 2n + 16

100 = 126 - 2n

2n = 26

n = 13

Answer: C
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In a survey conducted for three perfumes, it was found that 40% of the 01 Feb 2021, 13:30
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Let's assume that there were 100 people in the survey.

Total = 100 = (40 + 25 + 60) - 15 - 2x + 16
100 = 125 - 15 -2x + 16
-26 = -2x
x = 13

Answer is C. (Mind you 13 is the number of people, but it just so happens that 100 is the denominator so 13 here is also 13%).
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In a survey conducted for three perfumes, it was found that 40% of the 29 Jun 2023, 14:50
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Followed the Gmat Ninja technique here:

Attachment:
Screenshot 2023-06-30 at 3.18.25 AM.png
Screenshot 2023-06-30 at 3.18.25 AM.png [ 36.32 KiB | Viewed 3038 times ]

69-x + 30 + 3x = 125
2x = 26
x = 13%
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