The average score of 20 students in a class is 75. It is later found that 5 students had been absent. In a re-examination, 4 of them scored 85 each. After including the marks of all 5 students, the overall average becomes 77. Determine the marks scored by the fifth student.

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The correct answer is 87. Step-by-Step Breakdown1. Calculate Initial Total MarksThe average score for the initial 20 students is 75.Multiplying 20 students by 75 gives a total of 1,500 marks.2. Calculate New Total Marks for All StudentsIncluding the 5 absent students brings the total number of students to 25 (20 plus 5).The new overall average for all 25 students is 77.Multiplying 25 students by 77 gives a new total of 1,925 marks.3. Find the Total Marks Scored by the 5 StudentsSubtracting the initial 1,500 marks from the new total of 1,925 marks leaves 425 marks scored by the 5 additional students.4. Calculate the Fifth Student's Score4 of the students scored 85 marks each, which equals 340 marks in total (4 multiplied by 85).Subtracting 340 marks from the 425 total marks scored by the group leaves 85 marks for the fifth student.

Answer

80

Answer

85

Answer

89

The average score of 20 students in a class is 75. It is later found that 5 students had been absent. In a re-examination, 4 of them scored 85 each. After including the marks of all 5 students, the overall average becomes 77. Determine the marks scored by the fifth student.

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