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In an examination, 42% students failed in Hindi and 52% failed in English. If 17% failed in both the subjects, the percentage of those who passed in both the subject is
  • a)
    23%
  • b)
    27%
  • c)
    34%
  • d)
    40%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In an examination, 42% students failed in Hindi and 52% failed in Engl...
Solution:

Given,
Percentage of students failed in Hindi = 42%
Percentage of students failed in English = 52%
Percentage of students failed in both the subjects = 17%

Let's assume the total number of students appeared for the examination be 100.

Number of students failed in Hindi = 42% of 100 = 42
Number of students failed in English = 52% of 100 = 52
Number of students failed in both subjects = 17% of 100 = 17

Now, we need to find the percentage of students who passed in both subjects.

Number of students who failed in at least one subject = Number of students failed in Hindi + Number of students failed in English - Number of students failed in both subjects
= 42 + 52 - 17 = 77

Number of students who passed in both subjects = Total number of students - Number of students who failed in at least one subject
= 100 - 77 = 23

Percentage of students who passed in both subjects = (Number of students who passed in both subjects / Total number of students) * 100%
= (23/100) * 100%
= 23%

Therefore, the percentage of students who passed in both subjects is 23%, which is option A.
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Community Answer
In an examination, 42% students failed in Hindi and 52% failed in Engl...
It is given that 42% fail in Hindi and 52% fail in English and 17% fail in both
So total fail percentage would be 
42+52-17 ( because we have counted the 17 % 2 times) 
=> 77 % who have failed SO the percentage passing in both would be 
100-77= 23%
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