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      Question

      A shopkeeper purchased two items, A and B, at prices of

      Rs. 15x and Rs. 9(2Y - 15) respectively.He set the marked price of article A at (X + 20)% above its cost price. After providing a discount of Rs. 360, he sold it at a profit of (X - 20)%.He increased the price of article B by Rs. 9(X + 15) above its cost price. After offering a discount of ((Y + 10)/4)%, he sold it at a 28% profit.Additionally, the shopkeeper bought a third item, C, for Rs. Z. He then marked it up by (X - 10)% over its cost price, and after granting a discount of (Y - 50)%, he sold it for Rs. (Z + 120). Which of the following statement is correct? I) Z = 3X + 5Y II) Z = 5X -3Y III) Z = 10X IV) 2Z = 15X
      A Only II Correct Answer Incorrect Answer
      B Only III Correct Answer Incorrect Answer
      C Only I and II Correct Answer Incorrect Answer
      D Only I and III Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let CP of New article = Z Rs. Then MP% will be = 60 - 10 = 50% Hence, Discount % will be = 70 - 50 = 20% ATQ, Z × 1.5 × 0.8 = z + 120 1.2Z - Z = 120 0.2Z = 120 Z = 600 = 10 × 60 = 10X Hence, Z = 10X Only III is correct 

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