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      Question

      A and B are two products such that a 25% profit on A is

      equal to a 16.67% loss on B. A is marked 100% above its cost price and the marked price of B is ___ % of the marked price of A. A and B are sold at a discount of ___% and ___%, respectively, such that the selling price of A and B are the same.Which of the following can fill the blanks in the same order?(i) 125, 20, 36(ii) 200, 30, 65(iii) 150, 25, 50
      A All three are true Correct Answer Incorrect Answer
      B Only (i) is true Correct Answer Incorrect Answer
      C Only (iii) is true Correct Answer Incorrect Answer
      D Only (ii) is true Correct Answer Incorrect Answer
      E Both (i) and (iii) are true Correct Answer Incorrect Answer

      Solution

      25% of A = 16.67% of B
      A : B = 2 : 3
      Let the cost price of A and 40x be 60 x respectively,
      Marked price of A = 80x
      From (i)
      Marked price of B = 125% of 80x = 100x
      Selling price of A = (100 - 20)% of 80 = 64x
      Selling price of B = (100 - 36)% of 100x = 64x
      From (ii)
      Marked price of B = 200% of 80x = 160x
      Selling price of A = (100 - 30)% of 80x = 56x
      Selling price of B = (100 - 65)% of 160x = 56x
      From (iii)
      Marked price of B = 150% of 80x = 120x
      Selling price of A = (100 - 25)% of 80x = 60x
      Selling price of B = (100 - 50)% of 120x = 60x
      All of them satisfy.

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