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?

84

Ratio of number of boys to girls = 10 : 11

Number of Boys = \(\frac{84}{21}\)  × 10 = 40

Number of girls = \(\frac{84}{21}\)  × 11 = 44

Ratio of average score of boys to girls = 4 : 5

ATQ,

40 × 4R + 44 × 5R = 84 × 95

160R + 220R = 7980

380R = 7980

R = 21

SO , Average score of boys = 4R = 4 × 21 = 84