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      Question

      Tea worth Rs. 80/kg and Rs. 100/kg are mixed with a third

      variety in the ratio 5:3:2 respectively. If the final mixture is worth Rs. 92/kg, then the price of the third variety of tea is:
      A Rs. 105/kg Correct Answer Incorrect Answer
      B Rs. 110/kg Correct Answer Incorrect Answer
      C Rs. 115/kg Correct Answer Incorrect Answer
      D Rs. 100/kg Correct Answer Incorrect Answer

      Solution

      Let the quantity of three varieties of tea in the new mixture be ‘5x’ kg, ‘3x’ kg, and ‘2x’ kg respectively
      Let the price of the third variety of tea be Rs. ‘y’/kg
      ATQ:
      (80 × 5x) + (100 × 3x) + (y × 2x) = 92 × (5x + 3x + 2x)
      Or, 400x + 300x + 2xy = 92 × 10x
      Or, 700x + 2xy = 920x
      Or, 2xy = 220x
      Or, y = 110
      So, the price of the third variety of tea = Rs. 110/kg

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