Question

In an examination, 20% of the total number of students failed in English, 15% of the total number of students failed in Maths, and 5% of the total number of students failed in both. What is the percentage of students who passed in both the subjects?

• A. 70%
• B. 54%
• C. 75%
• D. 60%

Answer 1

Answer:

A. 70%

Percentage of students passed in both = [100 – (20 + 15 – 5)]



⇒ [100 – 30]



⇒ 70%
Alternate method

Let the total number of students be 100.



students failed in only English = 20 – 5



⇒ 15



Students failed in only Maths = 15 – 5



⇒ 10



total number of failed students = 15 + 10 + 5



⇒ 30



Number of passed students in both the subjects = 100 – 30



⇒ 70



percentage = (70/100) × 100



⇒ 70%