The total number of students in section A and B of a class is 110. The number of students in section A is 10 more than that of section B. The average score of the students in B,in a test, is 20% more than that of students in A. If the average score of all the students in the class is 72, then what is the average score of the students in A ?
Let students in section B be x
so number of students in section A will be x+10
Now x+x+10 =110
we get x=50
Now average score in A be P
so average score in section B will be 1.2P
Now sum of marks of all students : 72= S/110 so S = 72(110)
Now this will equate to the total marks of students in section A and section B
So We get P(60)+1.2P(50) =110(72)
120P= 72(110)
We get P = 72(11)/12=66
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