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In an examination, 30% of total students failed in Hindi, 25% failed in English and 10% failed in both. Find the percentage of those students who passed in both the subjects?
- a)55%
- b)85%
- c)25%
- d)45%
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In an examination, 30% of total students failed in Hindi, 25% failed i...
From given data
No of students failed in hindi n(H) = 30%
No of students failed in English n (E) = 25%
No of students failed in both n(H ∩ E) = 10%
⇒ Percentage of students who failed n(H U E) = n(H) + n(E) – n(H ∩ E)
⇒ n(H U E) = 30 + 25 - 10
⇒ n(H U E) = 45
Percentage of students who passed = 100 - (Percentage of students who failed) = 100 - 45 = 55%
No of students failed in hindi n(H) = 30%
No of students failed in English n (E) = 25%
No of students failed in both n(H ∩ E) = 10%
⇒ Percentage of students who failed n(H U E) = n(H) + n(E) – n(H ∩ E)
⇒ n(H U E) = 30 + 25 - 10
⇒ n(H U E) = 45
Percentage of students who passed = 100 - (Percentage of students who failed) = 100 - 45 = 55%
Most Upvoted Answer
In an examination, 30% of total students failed in Hindi, 25% failed i...
Given information:
- 30% of total students failed in Hindi
- 25% of total students failed in English
- 10% of total students failed in both Hindi and English
To find:
- The percentage of students who passed in both subjects
Let's assume the total number of students as 100 for easy calculation.
30% of students failed in Hindi, which means 30 students failed in Hindi.
25% of students failed in English, which means 25 students failed in English.
10% of students failed in both Hindi and English, which means 10 students failed in both subjects.
To find the number of students who passed in both subjects, we need to subtract the number of students who failed in both subjects from the total number of students.
Total students = 100
Students failed in both Hindi and English = 10
So, the number of students who passed in both subjects = Total students - Students failed in both subjects = 100 - 10 = 90
Now, we need to find the percentage of students who passed in both subjects.
Percentage of students who passed in both subjects = (Number of students who passed in both subjects / Total number of students) * 100
Plugging in the values, we get:
Percentage of students who passed in both subjects = (90 / 100) * 100 = 90%
Therefore, the percentage of students who passed in both Hindi and English is 90%.
- 30% of total students failed in Hindi
- 25% of total students failed in English
- 10% of total students failed in both Hindi and English
To find:
- The percentage of students who passed in both subjects
Let's assume the total number of students as 100 for easy calculation.
30% of students failed in Hindi, which means 30 students failed in Hindi.
25% of students failed in English, which means 25 students failed in English.
10% of students failed in both Hindi and English, which means 10 students failed in both subjects.
To find the number of students who passed in both subjects, we need to subtract the number of students who failed in both subjects from the total number of students.
Total students = 100
Students failed in both Hindi and English = 10
So, the number of students who passed in both subjects = Total students - Students failed in both subjects = 100 - 10 = 90
Now, we need to find the percentage of students who passed in both subjects.
Percentage of students who passed in both subjects = (Number of students who passed in both subjects / Total number of students) * 100
Plugging in the values, we get:
Percentage of students who passed in both subjects = (90 / 100) * 100 = 90%
Therefore, the percentage of students who passed in both Hindi and English is 90%.
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In an examination, 30% of total students failed in Hindi, 25% failed in English and 10% failed in both. Find the percentage of those students who passed in both the subjects?a)55%b)85%c)25%d)45%Correct answer is option 'A'. Can you explain this answer?
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