GMAT Exam > GMAT Questions > In a survey conducted on women regarding thei...
Start Learning for Free
In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?
- a)10
- b)20
- c)25
- d)30
- e)40
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a survey conducted on women regarding their preference of cosmetics...
Step 1: Question statement and Inferences
We are given that a survey was conducted on some women regarding their preferences of cosmetics. The results of the survey are as follows:
The percentage of women who use H&S = 40%
The percentage of women who use Pantene = 60%
The percentage of women who use Dove = 30%
Let
X = the percentage of women who use only H&S
Y = the percentage of women who use only Pantene
Z = the percentage of women who use only Dove
P = the percentage of women who use H&S and Pantene
Q = the percentage of women who use Dove and H&S
R = the percentage of women who use Dove and Pantene
S = the percentage of women who use all three products
Now, since there are only 80% women who use at least one of the three brands, there are 20% women who don’t use any of the brands.
Thus,
X + Y + Z + P + Q + R + S = 80% ………… (1)
Step 2: Finding required values
We can also say from the given diagram:
40% = X + P + Q + S ………… (2)
30% = Z + Q + R + S ………… (3)
60% = P + R + Y + S ………… (4)
Adding equation (2), (3), and (4), we get:
130% = (X + Y + Z + P + Q + R + S) + P + Q + R + 2*S
Now, the above expression in brackets is equal to 80% [from equation (1)]
130% = 80% + P + Q + R + 2*S
50% = P + Q + R + 2*20%
P + Q + R = 10%
Step 3: Calculating the final answer
Now, the percentage of women who use more than one brands
= the percentage of women who use two brands + the percentage of women who use three brands
= (P + Q + R) + S
= 10% + 20%
= 30%
Answer: Option (D)
(Note: In this question, a percentage term like 30% denotes 30% ‘of the total women surveyed’. Let the total number be t. Since the base of each percentage term used in the solution is the same – the total number of surveyed women-percentages have been added and subtracted without writing the base – as in, 30% of t – every time. If the base of each percentage term was not the same, it would have been imperative for us to specify % ‘of what’ with each term)
Most Upvoted Answer
In a survey conducted on women regarding their preference of cosmetics...
Given Information:
- 80% of the women surveyed use at least one of the three brands (H S, Dove, and Pantene).
- 40% of those surveyed use H S.
- 30% of those surveyed use Dove.
- 60% of those surveyed use Pantene.
- 20% of those surveyed use all three brands.
To Find:
The percentage of women surveyed who use more than one of the given three brands.
Solution:
To find the percentage of women who use more than one brand, we need to subtract the percentage of women who use only one brand from the total percentage of women surveyed.
Calculating the Percentage of Women Using Only One Brand:
Let's calculate the percentage of women using only H S, only Dove, and only Pantene.
- Percentage using only H S = Percentage using H S - Percentage using all three brands = 40% - 20% = 20%
- Percentage using only Dove = Percentage using Dove - Percentage using all three brands = 30% - 20% = 10%
- Percentage using only Pantene = Percentage using Pantene - Percentage using all three brands = 60% - 20% = 40%
Calculating the Percentage of Women Using More Than One Brand:
To calculate the percentage of women using more than one brand, we need to find the sum of the percentages using only one brand and subtract it from the total percentage of women surveyed.
Percentage using more than one brand = 100% - (Percentage using only H S + Percentage using only Dove + Percentage using only Pantene)
= 100% - (20% + 10% + 40%)
= 100% - 70%
= 30%
Therefore, the percentage of women surveyed who use more than one of the given three brands is 30%. Hence, the correct answer is option D.
- 80% of the women surveyed use at least one of the three brands (H S, Dove, and Pantene).
- 40% of those surveyed use H S.
- 30% of those surveyed use Dove.
- 60% of those surveyed use Pantene.
- 20% of those surveyed use all three brands.
To Find:
The percentage of women surveyed who use more than one of the given three brands.
Solution:
To find the percentage of women who use more than one brand, we need to subtract the percentage of women who use only one brand from the total percentage of women surveyed.
Calculating the Percentage of Women Using Only One Brand:
Let's calculate the percentage of women using only H S, only Dove, and only Pantene.
- Percentage using only H S = Percentage using H S - Percentage using all three brands = 40% - 20% = 20%
- Percentage using only Dove = Percentage using Dove - Percentage using all three brands = 30% - 20% = 10%
- Percentage using only Pantene = Percentage using Pantene - Percentage using all three brands = 60% - 20% = 40%
Calculating the Percentage of Women Using More Than One Brand:
To calculate the percentage of women using more than one brand, we need to find the sum of the percentages using only one brand and subtract it from the total percentage of women surveyed.
Percentage using more than one brand = 100% - (Percentage using only H S + Percentage using only Dove + Percentage using only Pantene)
= 100% - (20% + 10% + 40%)
= 100% - 70%
= 30%
Therefore, the percentage of women surveyed who use more than one of the given three brands is 30%. Hence, the correct answer is option D.
|
Explore Courses for GMAT exam
|
|
Top Courses for GMATView all
Question Description
In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer?.
In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer?.
Solutions for In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a survey conducted on women regarding their preference of cosmetics, it was found that 80% of the women surveyed were using at least one of the three brands-H & S, Dove and Pantene. 40% of those surveyed were using H & S, 30% of surveyed were using Dove and 60% of surveyed were using Pantene. 20% of the surveyed use all the three brands. What percentage of the women surveyed use more than one of the given three brands?a)10b)20c)25d)30e)40Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily