There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?
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Answer:
54
Step-by-step explanation:
40% = 2/5
Let the number of boys be 5
Number of girls = 5x (7/5) = 7
Let the average score of girls be 5x
Average score of boys be = 5x x (7/5) = 7x
According to the question
5 x 7x + 7 x 5x = 12 x 63
⇒ 35x + 35x = 756
⇒ 70x = 756
⇒ x = 756/70 = 10.8
Average score of girls = 5 x 10.8 = 54
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