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      Question

      A trader pretends to sell sugar at cost price but uses a

      weight of 'X' grams instead of 1,000 grams. If the profit percentage earned is (300/17)%, then what is the value of 25% of 'X'?
      A 212.5 Correct Answer Incorrect Answer
      B 115.5 Correct Answer Incorrect Answer
      C 220.5 Correct Answer Incorrect Answer
      D 225.5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of 1,000 gm sugar be Rs. 1,000

      Cost price of 'X' gm sugar = (1,000/1,000) × X = Rs. X

      And, selling price of 'X' gm sugar = Rs. 1,000

      So, profit earned = Rs. (1,000 - X)

      Therefore, [(1,000 - X) ÷ X] × 100 = (300/17)

      Or, 17 × (1,000 - X) = 3X

      Or, 17,000 - 17X = 3X

      Or, 20X = 17,000

      So, X = (17,000 / 20) = 850

      Therefore, required value = 0.25 × 850 = 212.5

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