A class consists of 30 students. Each of them has registered for 5 courses. Each course instructor conducts an exam out of 200 marks. The average percentage marks of all 30 students across all courses they have registered for, is 80%. Two of them apply for revaluation in a course. If none of their marks reduce, and the average of all 30 students across all courses becomes 80.02%, the maximum possible increase in marks for either of the 2 students is
Explanation:
Initial sum of the marks of all students across all subjects = 30 × 80% × 200 × 5 = 24,000
Sum of the marks of all students across all subjects after revaluation = 30 × 80.02% × 200 × 5 = 24,006
∴ Marks of these students increased by 6.
Least increase in marks of one of the students can be 0, hence maximum increase in marks of the other student must be 6.
Hence, 6.
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