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In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects?
- a)77
- b)58
- c)48
- d)23
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In an examination, 52% candidates failed in English and 42% failed in ...
No of students failed in English only = 52 – 17 = 35
No of students failed in maths only = 42 – 17 = 25
Total no of failed students in either of the subjects = 35+17+25 = 77
No of passed student in both subjects = 100 – 77 = 23
Most Upvoted Answer
In an examination, 52% candidates failed in English and 42% failed in ...
To find the percentage of candidates who passed in both subjects, we need to subtract the percentage of candidates who failed in both subjects from 100%.
Let's assume that there are 100 candidates in total.
- Candidates who failed in English: 52% of 100 = 52
- Candidates who failed in Mathematics: 42% of 100 = 42
- Candidates who failed in both subjects: 17% of 100 = 17
Now, let's calculate the number of candidates who passed in at least one subject:
- Candidates who failed in English or Mathematics = Candidates who failed in English + Candidates who failed in Mathematics - Candidates who failed in both subjects
= 52 + 42 - 17 = 77
So, 77 candidates failed in at least one subject.
To find the percentage of candidates who passed in both subjects:
- Candidates who passed in both subjects = Total candidates - Candidates who failed in at least one subject
= 100 - 77 = 23
Therefore, 23% of candidates passed in both subjects.
Hence, the correct answer is option D) 23.
Let's assume that there are 100 candidates in total.
- Candidates who failed in English: 52% of 100 = 52
- Candidates who failed in Mathematics: 42% of 100 = 42
- Candidates who failed in both subjects: 17% of 100 = 17
Now, let's calculate the number of candidates who passed in at least one subject:
- Candidates who failed in English or Mathematics = Candidates who failed in English + Candidates who failed in Mathematics - Candidates who failed in both subjects
= 52 + 42 - 17 = 77
So, 77 candidates failed in at least one subject.
To find the percentage of candidates who passed in both subjects:
- Candidates who passed in both subjects = Total candidates - Candidates who failed in at least one subject
= 100 - 77 = 23
Therefore, 23% of candidates passed in both subjects.
Hence, the correct answer is option D) 23.
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In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects?a)77b)58c)48d)23Correct answer is option 'D'. Can you explain this answer?
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