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      Question

      Oil worth Rs. 50/litre and Rs. 60/litre are mixed with a

      third variety in the ratio 4:3:1 respectively. If the final mixture is worth Rs. 54/litre, then the price of the third variety of oil is:
      A Rs. 51/litre Correct Answer Incorrect Answer
      B Rs. 52/litre Correct Answer Incorrect Answer
      C Rs. 53/litre Correct Answer Incorrect Answer
      D Rs. 54/litre Correct Answer Incorrect Answer

      Solution

      Let the quantity of three varieties of oil in the new mixture be β€˜4x’ litres, β€˜3x’ litres, and β€˜x’ litre respectively
      Let the price of the third variety of oil be Rs. β€˜y’/litre
      ATQ:
      (50 Γ— 4x) + (60 Γ— 3x) + (y Γ— x) = 54 Γ— (4x + 3x + x)
      Or, 200x + 180x + xy = 54 Γ— 8x
      Or, 380x + xy = 432x
      Or, xy = 52x
      Or, y = 52
      So, the price of the third variety of oil = Rs. 52/litre

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