In a class, 60% of the students are female and the rest are male. 40% of the female students and 70% of the male students have opted for the research methodology course. If in all 60 students have not opted for the course, what is the total number of students in the class?
A120
B125 ✓ Correct
C130
D140
Correct answer: (B) 125
Explanation
The class has 125 students.
Let the total = T; females = 0.6T and males = 0.4T.
Not opting: 60% of females and 30% of males did not opt for the course.
Not opted = 0.6T x 0.6 + 0.4T x 0.3 = 0.36T + 0.12T = 0.48T.
0.48T = 60, so T = 125.
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