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3 movies X, Y and Z are running in a multiplex. Each shape represents the number of persons who went for a movie. A person has to buy 1 ticket to watch a film. If the total number of people who watched the movies is 100, then the total number of tickets sold is
  • a)
    22
  • b)
    134
  • c)
    112
  • d)
    162
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
3 movies X, Y and Z are running in a multiplex. Each shape represents ...
Total number of persons = 100
Let the unknown number of people who saw one of the 3 movies represented in the diagram be 'x'.
x + 17 + 15 + 12 + 13 + 10 + 11 = 100
=> x = 100 - 78
x = 22.

Number of persons who saw only 1 movie = 22+11+17 = 50
Number of persons who saw 2 movies = 15+10+13 = 38
Number of persons who saw all the 3 movies = 12

Total number of tickets sold = 1*50 + 2*38 + 3*12 = 162.
Therefore, option D is the right answer. 
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3 movies X, Y and Z are running in a multiplex. Each shape represents the number of persons who went for a movie. A person has to buy 1 ticket to watch a film. If the total number of people who watched the movies is 100, then the total number of tickets sold isa)22b)134c)112d)162Correct answer is option 'D'. Can you explain this answer?
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