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      Question

      Wheat worth Rs. 25/kg and Rs. 40/kg are mixed with a third

      variety in the ratio 1:2:1 respectively. If the final mixture is worth Rs. 35/kg, then the price of the third variety of wheat is:
      A Rs. 32/kg Correct Answer Incorrect Answer
      B Rs. 36/kg Correct Answer Incorrect Answer
      C Rs. 38/kg Correct Answer Incorrect Answer
      D Rs. 35/kg Correct Answer Incorrect Answer

      Solution

      Let the quantity of three varieties of wheat in the new mixture be ‘x’ kg, ‘2x’ kg, and ‘x’ kg respectively
      Let the price of the third variety of wheat be Rs. ‘y’/kg
      ATQ:
      (25 × x) + (40 × 2x) + (y × x) = 35 × (x + 2x + x)
      Or, 25x + 80x + xy = 35 × 4x
      Or, 105x + xy = 140x
      Or, xy = 35x
      Or, y = 35
      So, the price of the third variety of wheat = Rs. 35/kg

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