-
In an examination, 30% of the total students failed in Hindi, 45% failed in English and 20% failed in both the subjects. Find the percentage of those who passed in both the subjects.
-
- 35.7%
- 35%
- 40%
- 45%
- 44%
Correct Option: D
Let the number of students be 100. Number of students who failed in Hindi is 30%.
n(H) = 30
Number of students who failed in English is 45%.
∴ n(E) = 45
Number of students who failed in both the subjects is 20%. n(H ∪ E) = 20
Applying the rule,
n(H ∪ E) = n(H) + n(E) - n(H ∩ E)
= 30 + 45 - 20 = 55
Percentage of students who failed in Hindi or English or both the subjects = 55%
Number of students who passed in both the subjects = 100 - 55 = 45%
