Problem: Average mark obtained by 300 students in a class is 80. When 10% of the students are excluded from the group, the average mark of remaining students is 85. Find average mark of the 10% of students excluded from the group?
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Correct Answer: ans: Average mark of the 10% of students excluded from the group is 35 marks.
Explanation:
Average mark obtained by 300 students in a class = 80
Total marks of 300 students = 300 x 80 = 24000
Given that when 10% of the students are excluded from the group,
the average mark of remaining students is 85
Total 10% of the excluded students = 300 x 10% = 30
remaining students = 300 – 30 = 270
So, the total marks of remaining 270 students = 270 x 85 = 22950
The total marks of excluded 10% students = 24000 – 22950 = 1050
So, the average mark of 10% excluded students = 1050 + 30 = 35 marks.