Question : The average mark obtained in a class of 50 students is 70%. The average of the first 25 is 60% and that of 24 is 80%. What were the marks obtained by the last student?
Option 1: 90%
Option 2: 60%
Option 3: 80%
Option 4: 70%
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Correct Answer: 80%
Solution :
Average marks of 50 students = 70%
Total percentage of marks of 50 students = 50 × 70% = 3500%
Average of first 25 students = 60%
Total percentage of marks of 25 students = 25 × 60% = 1500%
Average marks of the next 24 students = 80%
Total percentage of marks of 24 students = 24 × 80% = 1920%
$\therefore$ Percentage of marks obtained by the last student = 3500% – (1500 + 1920)% = 80%
Hence, the correct answer is 80%.
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