The average score in mathematics of 90 students of sections A and B together is 49. The number of students in A was 25% more than that of B, and the average score of the students in B was 20% higher than that of the students in A. what is the average score of the students in A?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 45
| Understanding | Application |
| Average = sum of all observations/number of observations |
Total score by 90 students = 90 × 49 ⇒ 4410 Let the number of students in section B is 'x' ⇒ The number of students in section A = 5x / 4 ⇒ x + 5x / 4 = 90 ⇒ x = 40 Let the average score of section A be y ⇒ The average score of section B = 6y / 5 ⇒ 50y + 40(6y / 5) = 4410 ⇒ 98y = 4410 ⇒ y = 45 |