The average score of 84 students (boys and girls) in a test is 95. The ratio of the number of boys to that of girls is 10: 11. The average score of the boys is 20% less than that of the girls. What is the average score of the boys in the test?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 84
Given that
The average score of 84 students (boys and girls) in a test = 95
The ratio of the number of boys to that of girls = 10: 11
According to the question
The average score of the boys = 4x
The average score of the girls = 5x
Now,
The average score of students = (4x * 10 + 5x * 11)/(10 + 11) = 95x/21
As given that 95x/21 = 95
x = 21
The average score of the boys = 4x = 4 * 21 = 84