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In a survey of 200 people, 80% said they used product X, product Y

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Rashed12
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In a survey of 200 people, 80% said they used product X, product Y [#permalink] New post   Updated on: 19 Sep 2019, 10:57
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Question Stats:

51% (01:56) correct 49% (02:03) wrong based on 199 sessions
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In a survey of 200 people, 80% said they used product X, product Y, or both. Of those people surveyed who used at least one of the two products, 25% used only product X and 25% used both. How many people used product Y?

(A) 40
(B) 80
(C) 100
(D) 120
(E) 160

Need explanation to the problem.
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Official Answer
D

Originally posted by Rashed12 on 12 Mar 2019, 22:47.
Last edited by generis on 19 Sep 2019, 10:57, edited 1 time in total.
changed the OA
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stne
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Re: In a survey of 200 people, 80% said they used product X, product Y [#permalink] New post   13 Mar 2019, 12:03
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Rashed12 wrote:
In a survey of 200 people, 80% said they used product X, product Y, or both. Of those people surveyed who used at least one of the two products, 25% used only product X and 25% used both. How many people used product Y?

(A) 40
(B) 80
(C) 100
(D) 120
(E) 160

Need explanation to the problem.


Answer seems to be coming D , please can you share the official explanation.
160=X+Y-Both
Only X=40
Both =40
So X =80
Now 160=80+Y-40
Y=120

P.S.
Please tag the question properly,It's a overlapping problem not a work/rate problem. Thank you.
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Re: In a survey of 200 people, 80% said they used product X, product Y [#permalink] New post   19 Sep 2019, 05:41
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Rashed12 wrote:
In a survey of 200 people, 80% said they used product X, product Y, or both. Of those people surveyed who used at least one of the two products, 25% used only product X and 25% used both. How many people used product Y?

(A) 40
(B) 80
(C) 100
(D) 120
(E) 160

Need explanation to the problem.


People who used at least one of X and Y = 80% of 200 = 160

160 = Only X + Only Y + Both
(covers all three regions of the venn digram of two overlapping sets)

160 = 40 + Only Y + 40
Only Y = 80

People who used Y = Only Y + Both = 80 + 40 = 120

Answer (D)
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Re: In a survey of 200 people, 80% said they used product X, product Y [#permalink] New post   16 Sep 2019, 08:19
OA is incorrect. Answer is D

As a general rule, anytime you see the word “only” or “exactly,” you will not
be using a formula to solve the problem, and you should pay particular
attention to wording. Also, note that you are given both absolute number
data and percentage data in this problem, so be careful that you do not
inadvertently mix the two. Often it is easier to use percentage data until the
end, but since the calculations from the percent number to the absolute
number data are easy on this problem, the following Venn Diagram is
labeled with the actual numbers, not the percentages:
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Re: In a survey of 200 people, 80% said they used product X, product Y [#permalink] New post   18 Sep 2019, 10:54
VeritasKarishma,
Hi karishma. Can you please help with this one?
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Re: In a survey of 200 people, 80% said they used product X, product Y [#permalink] New post   05 Nov 2022, 04:39
KarishmaB wrote:
Rashed12 wrote:
In a survey of 200 people, 80% said they used product X, product Y, or both. Of those people surveyed who used at least one of the two products, 25% used only product X and 25% used both. How many people used product Y?

(A) 40
(B) 80
(C) 100
(D) 120
(E) 160

Need explanation to the problem.


People who used at least one of X and Y = 80% of 200 = 160

160 = Only X + Only Y + Both
(covers all three regions of the venn digram of two overlapping sets)

160 = 40 + Only Y + 40
Only Y = 80

People who used Y = Only Y + Both = 80 + 40 = 120

Answer (D)



Karishma , this problem can be solved without the caluacation unlike done by you right? Because of the 160 if i remove the 40 cases of exactly one left will be a circle of full b = 120
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Re: In a survey of 200 people, 80% said they used product X, product Y [#permalink]
05 Nov 2022, 04:39
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