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      Question

      Two alloys named 'X' and 'Y' contain gold and silver in

      the ratio of 3:2 and 7:5 respectively. If 100 grams of X and 120 grams of Y are mixed together, then find the ratio of gold to silver in the final mixture.
      A 13:9 Correct Answer Incorrect Answer
      B 11:7 Correct Answer Incorrect Answer
      C 5:3 Correct Answer Incorrect Answer
      D 7:4 Correct Answer Incorrect Answer

      Solution

      Quantity of gold in 100 grams 'X' = 100 ├Ч (3/5) = 60 grams
      Quantity of silver in 100 grams 'X' = 100 - 60 = 40 grams
      Quantity of gold in 120 grams 'Y' = 120 ├Ч (7/12) = 70 grams
      Quantity of silver in 120 grams 'Y' = 120 - 70 = 50 grams
      So, required ratio = (60 + 70) : (40 + 50) = 130 : 90 = 13:9

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