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    Question

    The average score of a batsman in a number of innings is

    40. He scores 88 in the next inning, raising his average by 1.6. Find the total runs scored before the last inning.
    A 1160 Correct Answer Incorrect Answer
    B 1140 Correct Answer Incorrect Answer
    C 1180 Correct Answer Incorrect Answer
    D 1120 Correct Answer Incorrect Answer
    E 1200 Correct Answer Incorrect Answer

    Solution

    Let number of innings before this one be 'P'.

    Runs before = 40P

    (40P + 88) / (P + 1) = 41.6
    => 40P + 88 = 41.6P + 41.6
    => 1.6P = 46.4 => P = 29
    Total runs = 40 × 29 = 1160

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