The average marks of 28 students in Mathematics was 50. 8 students left the school and then the average increased by 5. What is the average of marks obtained by the students who left the school?
Answer: 37.5
Explanation
Total marks of 28 students in Mathematics = 28 x 50 = 1400
New number of students = 28 - 8 = 20
New average of marks in Mathematics = 50 + 5 = 55
∴
Total marks of 20 students in Mathematics = 20 x 55 = 1100
∴
Total marks of 8 students who left the school = 1400 - 1100 = 300
∴
Average marks of these 8 students =
300/8 = 37.5
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