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From a barrel containing $500$ml of alcohol, $3$ cups of alcohol are poured into a barrel containing $500$ml of water. After mixing the contests well, $3$ cups of the mixture are poured into the barrel of alcohol. The percentage of water into the barrel of alcohol. The percentage of water in tie barrel of alcohol and the percentage of alcohol in the barrel of water are then compared. Which one of the following is true?

  1. The former is greater than the latter
  2. The two are equal
  3. The latter is greater than the former
  4. Cannot be determined

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