The number of students in section A and section B of a class are 40 and 52, respectively. The average score in mathematics of all the students is 75. If the average score of the students in A is 20% more than that of students in B, then what is the average score of students in B ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 69
We know that,
Average = Sum of observation/ no of observation.
The average score of the students in A is 20% more than that of students in B
Let the average score of A and B be 6x and 5x.
Now according to the question.
40 × 6x + 52 × 5x = 92 × 75
240x + 260x = 6900
500x = 6900
x = 6900/500 = 69/5.
5x = 69/5 × 5 = 69.