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      Question

      Ankush sold shoes 'P' and 'Q' with a 40% profit on 'P'

      and a 20% loss on 'Q'. Given that the selling prices of both shoes are equal, determine the ratio of the cost prices of shoe 'P' to shoe 'Q'.
      A 7:5 Correct Answer Incorrect Answer
      B 4:7 Correct Answer Incorrect Answer
      C 5:8 Correct Answer Incorrect Answer
      D 9:8 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the selling price of shoes ‘P’ and ‘Q’ Rs.‘p’. Cost price of shoes ‘P’ = (p/140) × 100 = Rs. p/1.4 Cost price of shoes ‘Q’ = (p/80) × 100 = Rs. p/0.8 Required ratio = (p/1.4):(p/0.8) = 8:14 = 4:7

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