Question
Download Solution PDFIn a class of 100 students, 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total number of students = 100
Students passed in Mathematics = 50
Students passed in English = 70
Students failed in both subjects = 5
Concept used:
The number of students who passed in both subjects is found by finding the difference between the number of students required for no overlap and the given total.
Calculation:
Students who passed in both the subjects = 70 + 50 – (100 – 5)
⇒ 120 – 95 = 25
∴ The students who passed in both subjects is 25.
Alternate Method
Total number of students = 100
Number of students failed in both subject = 5
⇒ Number of students passed in any one or both subject = (100 - 5) = 95
Students passed in Mathematics = 50
⇒ Students failed in Mathematics but passed in English = (95 - 50) = 45
Students passed in English = 70
⇒ Students failed in English but passed in Mathematics = (95 - 70) = 25
Number of students passed in both subjects = (95 - 45 - 25) = 25
∴ The number of students who passed in both subjects is 25.
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