On mixing two classes A and B of students with average marks of 50 and 80, respectively, the average marks obtained are 60. Find the respective ratios of the students in classes A and B.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2 : 1.
Average marks of class A = 50, Average marks of class B = 80
Average marks of class A and B together = 60
Now,
The ratio of the students of Class A and B = (Average of B - Combined average) : (Combined average - Average of A)
⇒ (80 - 60) : (60 - 50)
⇒ 20 : 10 = 2 : 1