In a class, the number of boys is 40% more than the number of girls. The average score in mathematics of all the students in the class is 55. If the average score of girls is 35% more than that of boys, then what is the average score in mathematics of girls?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 64.8.
Let girls = 100 and Boys = 140
Total students = 240
Let boys' average = B
(140 × B) + (100 × 1.35B) = 240 × 55
⇒ 140B + 135B = 13200
⇒ 275B = 13200
⇒ B = 48
Girls' average = 1.35 × 48 = 64.8