Out of 100 students of the class 20 scored an average of 40 marks, 30 scored an average of 50 marks, 50% of the remaining scored an average of 60 marks and the rest scored 100 marks. Find the average marks scored by the students.

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Out of 100 students of the class 20 scored an average of 40 marks, 30 scored an average of 50 marks, 50% of the remaining scored an average of 60 marks and the rest scored 100 marks. Find the average marks scored by the students.