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    Question

    The average runs scored by a player in a certain number of

    matches was 32.5. His average gets increased by 1.5 when he scores 100 in his next match. Find the total runs scored by him before he scores 100.
    A 1430 Correct Answer Incorrect Answer
    B 1350 Correct Answer Incorrect Answer
    C 1440 Correct Answer Incorrect Answer
    D 1400 Correct Answer Incorrect Answer
    E 1380 Correct Answer Incorrect Answer

    Solution

    Let the number of matches played by player before he scores 100 be 'P'.
    Runs scored by player before he scores 100 = 32.5P
    So, (32.5P + 100) ÷ (P + 1) = 32.5 + 1.5
    => 32.5P + 100 = 34P + 34
    => 1.5P = 66
    => P = 44
    Therefore, total runs scored before he scored 100 = 32.5 × 44 = 1430

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