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In a recently held survey there were 7500 persons in a local area. Out of those, 2500 opted only for Company A’s liquor, 1850 opted only for Company B’s liquor and 950 opted only for company C’s liquor. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 200 and the number of those opting only for Company A and B is 150.
How many persons opted for only one company’s liquor?
  • a)
    4725
  • b)
    5000
  • c)
    5300
  • d)
    5500
  • e)
    None of hese
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a recently held survey there were 7500 persons in a local area. Out...
No. of persons opting only one company’s liquor = 2500 + 1850 + 950 = 5300
Community Answer
In a recently held survey there were 7500 persons in a local area. Out...
, 3500 opted only for Company B, and 1500 opted for both Company A and Company B.

To find the number of persons who did not opt for either Company A or Company B, we can use the principle of inclusion-exclusion.

First, we add the number of persons who opted only for Company A (2500) and the number of persons who opted only for Company B (3500): 2500 + 3500 = 6000.

Next, we subtract the number of persons who opted for both Company A and Company B (1500) from this sum: 6000 - 1500 = 4500.

Therefore, 4500 persons did not opt for either Company A or Company B.
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In a recently held survey there were 7500 persons in a local area. Out of those, 2500 opted only for Company A’s liquor, 1850 opted only for Company B’s liquor and 950 opted only for company C’s liquor. The number of persons opting for all the companies is 1000. The number of persons opting only for Company A and C is 250. The number of people opting only for Company B and C is 200 and the number of those opting only for Company A and B is 150.How many persons opted for only one company’s liquor?a)4725b)5000c)5300d)5500e)None of heseCorrect answer is option 'C'. Can you explain this answer?
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