Q423
The numbers of students in section A and section B of a class are 50 and 62, respectively. The average score in mathematics of all students is 75. If the average score of students in section A is 20% more than that of students in section B, then what is the average score of students in section A (correct to one decimal place)?
A.
85.7
B.
87.5
C.
82.6
AnswerD.
84.3
Answer: Option C
Solution
Answer: Option C
Solution:
20% = Let, average marks of section B = 5x
Average marks of section A = 6x
Total marks = 50 × 6x + 62 × 5x = (50 + 62)
300x + 310x = 112 × 75
610x = 8400
x =
Average marks of section A students = 6x
= 6 ×
= 82.6