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?
Answer & explanation
Correct answer: option 2
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