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Referred to the data of
Out of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three is
 
Q. The number of employees preferring only coffee is
  • a)
    100
  • b)
    260
  • c)
    160
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Referred to the data ofOut of 2000 employees in an office 48% preferre...
Given information:
- Total number of employees = 2000
- Percentage of employees who preferred Coffee (C) = 48%
- Percentage of employees who liked Tea (T) = 54%
- Percentage of employees who smoked (S) = 64%
- Percentage of employees who used C and T = 28%
- Percentage of employees who used T and S = 32%
- Percentage of employees who preferred C and S = 30%
- Percentage of employees who did none of these = 6%

Finding the number of employees who have all three preferences:
- Let the number of employees who have all three preferences be x.
- Percentage of employees who have all three preferences = (100% - percentage of employees who did none of these) = 94%
- Therefore, (x/2000) x 94% = 0.94x% of the total employees have all three preferences.

Finding the number of employees who prefer only coffee:
- Let the number of employees who prefer only coffee be y.
- Percentage of employees who prefer only coffee = (48% - percentage of employees who used C and T - percentage of employees who preferred C and S) = 48% - 28% - 30% = 10%
- Therefore, (y/2000) x 10% = 0.1y% of the total employees prefer only coffee.

Calculating the values of x and y:
- From the given information, we know that the percentage of employees who used T and S is higher than the percentage of employees who used C and S.
- Therefore, we can assume that the number of employees who have all three preferences is equal to the number of employees who used C and S, which is 30% of the total employees.
- Therefore, x/2000 = 30/100, and x = 600.
- Similarly, we can solve for y, as follows:
- (y/2000) x 10% = 6%, since 6% of the total employees did none of these.
- Solving for y, we get y = 1200.
- Therefore, the number of employees who have all three preferences is 600, and the number of employees who prefer only coffee is 1200.

Conclusion:
- The number of employees preferring only coffee is 1200.
- The number of employees having all three preferences is 600.
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Referred to the data ofOut of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three isQ. The number of employees preferring only coffee isa)100b)260c)160d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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Referred to the data ofOut of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three isQ. The number of employees preferring only coffee isa)100b)260c)160d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Referred to the data ofOut of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three isQ. The number of employees preferring only coffee isa)100b)260c)160d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Referred to the data ofOut of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three isQ. The number of employees preferring only coffee isa)100b)260c)160d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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