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    Question

    Rohit’s strike rate after playing k balls is 300. In next

    12 balls, he scored 60 more runs and his strike rate increased by 60. Find the value of 2k.
    A 65 Correct Answer Incorrect Answer
    B 56 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 70 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Runs scored in k balls = (300k/100) = (3k)

    New strike rate = 300 + 60 = 360

    So, 360 = [{3k + 60} ÷ {k + 12}] × 100

    ⇒ 360 × (k + 12) = 100 × (3k + 60)

    ⇒ 36 × (k + 12) = (3k + 60) × 10

    ⇒ 36k + 432 = 30k + 600

    ⇒ 6k = 168

    ⇒ k = 28

    Therefore, required value = 2 × 28 = 56

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