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In an examination, 50% of the students passed in Science and  75% passed in Social, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?
  • a)
    400
  • b)
    540
  • c)
    600
  • d)
    750
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In an examination, 50% of the students passed in Science and 75% passe...
passed in science = 50%
passed in social = 75%
20% students failed in both the subjects and 80% passed in at least one subject
No of students passed in both subjects = 50+75−x=80  x=45% 45% of x = 270  x = 270*100/45 = 600
Total number of students =600
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Most Upvoted Answer
In an examination, 50% of the students passed in Science and 75% passe...
Given Information:
- 50% of students passed in Science
- 75% of students passed in Social
- 20% of students failed in both subjects
- 270 students passed in both subjects

Calculating the Total Number of Students:
Let's assume the total number of students who appeared in the exam is 'x'.

Calculating the number of students who passed in Science:
50% of x = 0.5x

Calculating the number of students who passed in Social:
75% of x = 0.75x

Calculating the number of students who failed in both subjects:
20% of x = 0.2x

Calculating the number of students who passed in both subjects:
Given that 270 students passed in both subjects

Using the information above to form an equation:
Number of students who passed in Science + Number of students who passed in Social - Number of students who passed in both subjects = Total number of students
0.5x + 0.75x - 270 = x
Solving the equation:
0.5x + 0.75x - 270 = x
1.25x - 270 = x
0.25x = 270
x = 270 / 0.25
x = 1080
Therefore, the total number of students who appeared in the exam is 1080. But this includes the students who failed in both subjects, so the total number of students who appeared in the exam is 1080 - 270 = 810.

Conclusion:
The total number of students who appeared in the exam is 810, which is closest to option C (600).
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In an examination, 50% of the students passed in Science and 75% passed in Social, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?a)400b)540c)600d)750Correct answer is option 'C'. Can you explain this answer?
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