The ratio of the number of the boys and girls in a class is 2: 3 and the average score in mathematics of all the students in the class is 54. The average score of boys is 50% more than the average score of girls. What is the average score of girls?
Answer & explanation
Correct answer: option 3
Ratio of number of boys to girls is = 2 : 3
Let number of boys = 2 & number of girls = 3
Ratio of marks of boys to girls = 3 : 2
ATQ,
2 × 3R + 3 × 2R = 5 × 54
6R + 6R = 270
R = \(\frac{270}{12}\) = 22.5
Average score of girls = 2R = 2 \(\frac{54}{2}\) 22.5 = 45