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      Question

      A retailer sold an item for Rs. 1458 after giving two

      successive discounts of x% each. If the marked price of the item is Rs. 2700, find the value of x.
      A 10.5% Correct Answer Incorrect Answer
      B 18.5% Correct Answer Incorrect Answer
      C 26.5% Correct Answer Incorrect Answer
      D 35.5% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      2700 Γ— (100 – x)% Γ— (100 – x)% = 1458

      0.27 Γ— (100 – x)Β² = 1458

      (100 – x)Β² = 5400

      100 – x = 73.5

      x = 26.5

      So, the value of β€˜x’ is 26.5%

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