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    Question

    In an examination, the average marks obtained by the

    students is 60. After correcting the quantitative mistakes, the average of 100 students is reduced to 45 from 60 and the overall average of the student is reduced to 50. Then find the total number of students who participated in that examination.
    A 250 Correct Answer Incorrect Answer
    B 240 Correct Answer Incorrect Answer
    C 150 Correct Answer Incorrect Answer
    D 180 Correct Answer Incorrect Answer
    E 130 Correct Answer Incorrect Answer

    Solution

    Let the total number of students be x Average marks obtained by the students = 60 Total marks = 60x After correcting the quantitative mistakes the average decreased by (60-45) = 15 marks Total reduction = 15 × 100 = 1500 Now According to the Question, (60x-1500)/x = 50 (60x-1500)= 50x

    60x - 50x = 1500
    x = 150 Total number of students = 150

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