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 ?

75

 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