In a class, 60% of the student are boys and in an examination, 80% of the…
2023
In a class, 60% of the student are boys and in an examination, 80% of the girls scored more than 40 marks. If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.
- A.
1/5
- B.
7/15
- C.
4/5
- D.
8/15
Attempted by 31 students.
Show answer & explanation
Correct answer: D
Solution:
Take total students = 100. Then boys = 60 and girls = 40.
Girls scoring more than 40 = 80% of 40 = 32 students.
Total students scoring more than 40 = 60. Therefore boys scoring more than 40 = 60 - 32 = 28 students.
Fraction of boys scoring more than 40 = 28 out of 60 = 28/60 = 7/15.
So fraction of boys who scored 40 marks or less = 1 - 7/15 = 8/15.
Answer: 8/15