The total number of students in section P and Q of a class is 150. The number of students in section P is 30 more than that of section Q . The average score of the students in Q, in a test, is 50% more than that of students in P. If the average score of all the students in the class is 48 , then what is the average score of the students in P?
Answer & explanation
Correct answer: option 3
P + Q = 150
P = 30 + Q
P = 90 , Q = 60
50% = \(\frac{1}{2}\)
Average marks ⇒ P = 2x, Q = 3x
2x × 90 + 3x × 60 = 150 × 48
360x = 150 × 48
x = \(\frac{150 × 48}{360}\) = 20
Average score of students in P = 20 × 2 = 40