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37% of the total number of people in a city read newspaper ABC and exceed the number of people who read XYZ by 8000. If 27% of the total population do not read any newspaper then find the population of the city if there are only two newspapers in the city. [Assume that no one reads more than one newspaper].
  • a)
    8 lakhs
  • b)
    10 lakhs
  • c)
    12 lakhs
  • d)
    14 lakhs 
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
37% of the total number of people in a city read newspaper ABC and exc...
Let the total population of the town be x.
The number of people who read XYZ = 0.37x - 8000
0.37x+0.37x - 8000 + 0.27x = x
⇒ x = 8,00,000
Hence, option 1.
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Most Upvoted Answer
37% of the total number of people in a city read newspaper ABC and exc...
Given data:
- 37% of people read newspaper ABC
- ABC readers exceed XYZ readers by 8000
- 27% of people do not read any newspaper
- Only two newspapers in the city

To find: Population of the city

Solution:
Let the population of the city be 'x'

- Number of people who read ABC = 0.37x
- Number of people who read XYZ = number of people who read ABC - 8000 (as per the given data) = 0.37x - 8000
- Number of people who do not read any newspaper = 0.27x
- Number of people who read at least one newspaper = Population of the city - Number of people who do not read any newspaper = x - 0.27x = 0.73x

As per the given data, only two newspapers are there in the city. So, the total number of people who read both newspapers should be equal to the number of people who read ABC plus the number of people who read XYZ.

- Number of people who read both newspapers = Number of people who read ABC + Number of people who read XYZ - Number of people who read only one newspaper
- Number of people who read both newspapers = 0.37x + (0.37x - 8000) - (0.73x - 0.27x) = 0.01x + 8000

As per the given data, the total number of people who read at least one newspaper is 73% of the population. So, the total number of people who read both newspapers should be 27% of the population.

- Number of people who read both newspapers = 0.27x

Equating the two expressions for the number of people who read both newspapers, we get:

0.01x + 8000 = 0.27x

Solving for x, we get:

x = 800000

Therefore, the population of the city is 8 lakhs.

Answer: Option A.
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Community Answer
37% of the total number of people in a city read newspaper ABC and exc...
Assume total no of people ie the total population be 100x then 37% of this would read ABC ie 37x. next 27% of total population do not read any newspaper ie 27x now it is for sure that the remaining would be reading XYZ as no 2 papers are read by one. Thus 37x + 27x = 64x and XYZ readers would be 36x. Now 37x - 36x = 8000 solve and you will get 8 lacs as answer.
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37% of the total number of people in a city read newspaper ABC and exceed the number of people who read XYZ by 8000. If 27% of the total population do not read any newspaper then find the population of the city if there are only two newspapers in the city. [Assume that no one reads more than one newspaper].a)8 lakhsb)10 lakhsc)12 lakhsd)14 lakhsCorrect answer is option 'A'. Can you explain this answer?
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