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    Question

    In a workshop with 20 participants, the average

    productivity score is 90. One person with a score of 85 leaves, and 3 new participants with an average score of 92 join. When the trainer’s score is also included, the new average becomes 91. What is the score of the trainer?
    A 98 Correct Answer Incorrect Answer
    B 102 Correct Answer Incorrect Answer
    C 96 Correct Answer Incorrect Answer
    D 100 Correct Answer Incorrect Answer
    E 94 Correct Answer Incorrect Answer

    Solution

    Initial total score = 20 × 90 = 1800
    Score of 3 new participants = 3 × 92 = 276 Let the trainer’s score be ‘y’
    New total score without trainer = 1800 - 85 + 276 + y = (1991 + y)
    New total number of people = 20 - 1 + 3 + 1 = 23
    New total score = 23 × 91 = 2093
    So, trainer’s score = 2093 - 1991 = 102

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