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      Question

      Sugar worth Rs. 30/kg and Rs. 45/kg are mixed with a

      third variety in the ratio 3:2:1 respectively. If the final mixture is worth Rs. 38/kg, then the price of the third variety of sugar is:
      A Rs. 46/kg Correct Answer Incorrect Answer
      B Rs. 48/kg Correct Answer Incorrect Answer
      C Rs. 50/kg Correct Answer Incorrect Answer
      D Rs. 52/kg Correct Answer Incorrect Answer

      Solution

      Let the quantity of three varieties of sugar in the new mixture be ‘3x’ kg, ‘2x’ kg, and ‘x’ kg respectively
      Let the price of the third variety of sugar be Rs. ‘y’/kg
      ATQ:
      (30 × 3x) + (45 × 2x) + (y × x) = 38 × (3x + 2x + x)
      Or, 90x + 90x + xy = 38 × 6x
      Or, 180x + xy = 228x
      Or, xy = 48x
      Or, y = 48
      So, the price of the third variety of sugar = Rs. 48/kg

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