Practicing Success
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? |
36 55 40 60 |
40 |
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 |