The average score of 52 students in a test is 81. The ratio of the number of boys to that of girls is 3 : 2. The average score of the girlss is 20% more than that boyss. The average score of boys is ?
Answer & explanation
Correct answer: option 2
Ratio of no. of students
Boys : Girls
3 : 2
Ratio of avg. score : 20% = \(\frac{1}{5}\)
Boys : Girls = 5R : 6R
ATQ,
(3 × 5R) + (2 × 6R) = 5 × 81
27R = 5 × 81
R = 15
Avg of boys = 5 × 15 = 75