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    Question

    A batsman scored 84 runs in his 12th innings, thereby

    improving his average score per inning by 5 runs. What is the average score per inning of the batsman after the 12th inning?
    A 24 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 32 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    Let the average of the batman in the first 11 innings be x. The total run scored by the batsman in the first 11 innings = 11 x x = 11x The total run scored by the batsman in all 12 innings = 11x + 84 New average score after 12th innings = x + 5 According to the question, (11x +84)/12 = (x + 5) (11x +84) = (x + 5) x 12 11x +84 = 12x + 60 12x-11x = 84-60 x = 24 Now, x + 4 = 24 + 4=28   28 is the average score per inning of the batsman after the 12th inning.

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