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      Question

      A mixture (milk + water) contains milk and water in the

      ratio 7:3, respectively. If 19 litres of mixture is taken out, then quantity of milk left in the resultant mixture would be 21 litres. Find the original quantity of the mixture.
      A 33 litres Correct Answer Incorrect Answer
      B 35 litres Correct Answer Incorrect Answer
      C 49 litres Correct Answer Incorrect Answer
      D 40 litres Correct Answer Incorrect Answer

      Solution

      Let the total quantity of the mixture be ‘100x’ litres. So, quantity of milk in the original mixture = 100x × (7/10) = ‘70x’ litres And, quantity of milk withdrawn = 19 × (7/10) = 13.3 litres ATQ; 70x – 13.3 = 21 Or, 70x = 34.3 So, x = (34.3/70) So, original quantity of mixture = 100 × (34.3/70) = 49 litres

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