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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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