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In an examination, 35% students failed in Hindi, 45% failed in English and 20% students failed in both the subjects. What is the percentage of students who passed in both the subjects?
- a)0
- b)20%
- c)30%
- d)40%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In an examination, 35% students failed in Hindi, 45% failed in English...
Percentage of students failed = Percentage of students who failed in Hindi + Percentage of students who failed in English – Percentage of students who failed in both [∵ Those who failed in both were counted twice]
⇒ 45 + 35 – 20 = 60%
∴ Percentage of students who passed in both subjects = 100 – 60 = 40%
Most Upvoted Answer
In an examination, 35% students failed in Hindi, 45% failed in English...
Given Information:
- 35% of students failed in Hindi.
- 45% of students failed in English.
- 20% of students failed in both Hindi and English.
To Find:
The percentage of students who passed in both subjects.
Solution:
To find the percentage of students who passed in both subjects, we need to subtract the percentage of students who failed in both subjects from 100%.
Step 1: Find the Percentage of Students who Failed in Both Subjects
Let's assume the total number of students is 100.
- 35% of students failed in Hindi, which means 35 students failed in Hindi.
- 45% of students failed in English, which means 45 students failed in English.
- 20% of students failed in both Hindi and English, which means 20 students failed in both subjects.
To find the percentage of students who failed in both subjects, we add the number of students who failed in Hindi and English and subtract the number of students who failed in both subjects.
Total students who failed in both subjects = 35 + 45 - 20 = 60
Therefore, 60% of students failed in both subjects.
Step 2: Find the Percentage of Students who Passed in Both Subjects
To find the percentage of students who passed in both subjects, we subtract the percentage of students who failed in both subjects from 100%.
Percentage of students who passed in both subjects = 100% - 60% = 40%
Therefore, the percentage of students who passed in both subjects is 40%.
Answer:
The correct answer is option 'D' - 40%.
- 35% of students failed in Hindi.
- 45% of students failed in English.
- 20% of students failed in both Hindi and English.
To Find:
The percentage of students who passed in both subjects.
Solution:
To find the percentage of students who passed in both subjects, we need to subtract the percentage of students who failed in both subjects from 100%.
Step 1: Find the Percentage of Students who Failed in Both Subjects
Let's assume the total number of students is 100.
- 35% of students failed in Hindi, which means 35 students failed in Hindi.
- 45% of students failed in English, which means 45 students failed in English.
- 20% of students failed in both Hindi and English, which means 20 students failed in both subjects.
To find the percentage of students who failed in both subjects, we add the number of students who failed in Hindi and English and subtract the number of students who failed in both subjects.
Total students who failed in both subjects = 35 + 45 - 20 = 60
Therefore, 60% of students failed in both subjects.
Step 2: Find the Percentage of Students who Passed in Both Subjects
To find the percentage of students who passed in both subjects, we subtract the percentage of students who failed in both subjects from 100%.
Percentage of students who passed in both subjects = 100% - 60% = 40%
Therefore, the percentage of students who passed in both subjects is 40%.
Answer:
The correct answer is option 'D' - 40%.
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In an examination, 35% students failed in Hindi, 45% failed in English and 20% students failed in both the subjects. What is the percentage of students who passed in both the subjects?a)0b)20%c)30%d)40%Correct answer is option 'D'. Can you explain this answer?
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