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      Question

      Milk worth Rs. 20/litre and Rs. 32/litre are mixed with a

      third variety in the ratio 1:1:2 respectively. If the final mixture is worth Rs. 28/litre, then the price of the third variety of milk is:
      A Rs. 26/litre Correct Answer Incorrect Answer
      B Rs. 28/litre Correct Answer Incorrect Answer
      C Rs. 30/litre Correct Answer Incorrect Answer
      D Rs. 32/litre Correct Answer Incorrect Answer

      Solution

      Let the quantity of three varieties of milk in the new mixture be ‘x’ litre, ‘x’ litre, and ‘2x’ litres respectively
      Let the price of the third variety of milk be Rs. ‘y’/litre
      ATQ:
      (20 × x) + (32 × x) + (y × 2x) = 28 × (x + x + 2x)
      Or, 20x + 32x + 2xy = 28 × 4x
      Or, 52x + 2xy = 112x
      Or, 2xy = 60x
      Or, y = 30
      So, the price of the third variety of milk = Rs. 30/litre

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