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    Question

    In a training group of 32 members, the average score is

    60. One member with a score of 56 leaves, and 4 new members with an average score of 64 join. When the trainer’s score is also included, the average becomes 62. What is the trainer’s score?
    A 110 Correct Answer Incorrect Answer
    B 108 Correct Answer Incorrect Answer
    C 114 Correct Answer Incorrect Answer
    D 112 Correct Answer Incorrect Answer
    E 116 Correct Answer Incorrect Answer

    Solution

    Initial total score = 32 × 60 = 1920
    Score of 4 new members = 4 × 64 = 256 Let the trainer’s score be ‘y’
    New total score without trainer = 1920 - 56 + 256 + y = (2120 + y)
    New total number of people = 32 - 1 + 4 + 1 = 36
    New total score = 36 × 62 = 2232
    So, trainer’s score = 2232 - 2120 = 112

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