Question

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

    improving his average score per innings by 4 runs. What is the average score per innings of the batsman after the 12th innings?
    A 44 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 42 Correct Answer Incorrect Answer
    D 36 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 + 4 According to the question, (11x +84)/12 = (x + 4) (11x +84) = (x + 4) x 12 11x +84 = 12x + 48 12x-11x = 84-48 x = 36 Now, x + 4 = 36 + 4=40   40 is the average score per innings of the batsman after the 12th innings.

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