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A survey of a city represented that 45%, 30% and 60% of the people read Hindi, English and Urdu newspapers, respectively, 30% of the people read exactly two of the three newspapers, and 3% of the people don't read any newspaper.
What percentage of people read all three newspapers?
  • a)
    6%
  • b)
    4%
  • c)
    5%
  • d)
    30%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A survey of a city represented that 45%, 30% and 60% of the people re...
Here, 'g' indicates people read all three newspapers.
To find g:
a + d + g + e = 45% .....(i)
b + d + g + f = 30% .....(ii)c + e + g + f = 60% .....(iii)
(i)+(ii)+(iii) = a + b + c + 2(d + e + f) + 3g = 135%
Given that:
30% of the people read exactly two of the three newspapers i.e., 'd+e+f'
Therefore,
a + b + c + 2(30%) + 3g = 135%
a + b + c + 3g = 75% .....(iv)
Also,
a + b + c + d + e + f + g + n = 100%
a + b + c + 30% + g + 3% = 100%
a + b + c + g = 67% .....(v)
Thus,
(iv)-(v) gives 2g = 8%
⇒ g = 4%
Hence, the correct option is (B).
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Most Upvoted Answer
A survey of a city represented that 45%, 30% and 60% of the people re...
Given Information:
- 45% of the people read Hindi newspapers.
- 30% of the people read English newspapers.
- 60% of the people read Urdu newspapers.
- 30% of the people read exactly two of the three newspapers.
- 3% of the people don't read any newspaper.

To find the percentage of people who read all three newspapers, we need to determine the overlap between the three groups of newspaper readers.

Step 1: Find the overlapping percentages
Let's assume that the percentage of people who read all three newspapers is x%.

From the given information, we can determine the following percentages:

- The percentage of people who read Hindi newspapers only (Hindi-only readers) = 45% - x%
- The percentage of people who read English newspapers only (English-only readers) = 30% - x%
- The percentage of people who read Urdu newspapers only (Urdu-only readers) = 60% - x%
- The percentage of people who read Hindi and English newspapers (Hindi-English readers) = 30% - x%
- The percentage of people who read Hindi and Urdu newspapers (Hindi-Urdu readers) = ??? (unknown)
- The percentage of people who read English and Urdu newspapers (English-Urdu readers) = ??? (unknown)

Step 2: Calculate the overlapping percentages
We know that the total percentage of people who read exactly two of the three newspapers is 30%. This includes the following groups:

- Hindi-English readers
- Hindi-Urdu readers
- English-Urdu readers

To find the overlapping percentages, we can add up the percentages of these three groups:

Total percentage of people who read exactly two newspapers = (30% - x%) + (???%) + (???%)

Step 3: Calculate the percentage of people who read all three newspapers
We know that the total percentage of people who read at least one of the three newspapers is:

Percentage of people who read at least one newspaper = Percentage of Hindi readers + Percentage of English readers + Percentage of Urdu readers

We can express this as:

100% - Percentage of people who don't read any newspaper = (45% - x%) + (30% - x%) + (60% - x%)

Given that 3% of the people don't read any newspaper, we can rewrite the equation as:

100% - 3% = (45% - x%) + (30% - x%) + (60% - x%)

97% = 135% - 3x%

3x% = 135% - 97%

3x% = 38%

x% = 38% / 3

x% = 12.67%

Therefore, the percentage of people who read all three newspapers is approximately 12.67%.

Conclusion:
The correct answer is not given in the options provided. None of the options (a), (b), (c), or (d) accurately represents the percentage of people who read all three newspapers.
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A survey was conducted among 1050 members of a locality. There were asked about the newspaper they read among Hindu, TOI and IE. Some of the results of the survey have been tabulated as under.It is also known that:I) The number of women who read only Hindu and IE is equal to the number of women who read only Hindi and TOI.II) 20% of the people surveyed read all the three newspapers. The number of people who read exactly two newspaper is thrice the number of men who read all the three newspapers.III) The number of women who read only Hindu is equal to the number of men who read only TOI and IE. The number of women surveyed is 150 less than the number of men surveyed.IV) An equal number of women read TOI and IE. 495 people read Hindu and 435 people do not read IE. 10% of men read none of the newspapers.How many women do not read any newspaper? Correct answer is '45'. Can you explain this answer?

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A survey of a city represented that 45%, 30% and 60% of the people read Hindi, English and Urdu newspapers, respectively, 30% of the people read exactly two of the three newspapers, and 3% of the people don't read any newspaper.What percentage of people read all three newspapers?a)6%b)4%c)5%d)30%Correct answer is option 'B'. Can you explain this answer?
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