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      Question

      Rahul used to complete 25 problems in 50 minutes. But now,

      his efficiency has dropped by 20%. How much time will he need to complete the same number of problems?
      A 62.5 mins Correct Answer Incorrect Answer
      B 116 mins Correct Answer Incorrect Answer
      C 55.5 mins Correct Answer Incorrect Answer
      D 120 mins Correct Answer Incorrect Answer

      Solution

      ATQ,

      50 minutes

      Initial efficiency of Rahul = 50 Γ· 25 = 2 minutes/question

      New efficiency = 50 Γ· (25 Γ— 0.8) = 2.5 minutes/question

      So, time required to finish 25 questions = 2.5 Γ— 25 = 62.5 minutes

      Alternate Solution:

      Ratio of new efficiency to old = 0.8:1 = 4:5

      So, ratio of new time to old = 5:4

      Required time taken = 50 Γ— (5/4) = 62.5 minutes

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