The average score in a test for 50 students is 44. Out of the total students, 40% of the students are girls and the rest are boys. The average score of boys is 20% less than that of girls. What is the average score of girls?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 50.
Total students = 50
Average score = 44
Total score = 50 × 44 = 2200
Number of Girls = 40% of 50 = 20
Number of Boys = 50 − 20 = 30
Let the average score of girls = x
Then the average score of boys = x - 20% of x = 0.8x
So,
⇒ 2200 = 20x + 30(0.8x)
⇒ 2200 = 20x + 24x
⇒ 44x = 2200
⇒ x = 50