Allen, Bill, and Carl split $2000 among them to be invested in different ways. Each begins with a different amount. At the end of one year, they have a total of $3000 dollars. Bill and Carl have both doubled

Allen, Bill, and Carl split $2000 among them to be invested in different ways. Each begins with a different amount. At the end of one year, they have a total of $3000 dollars. Bill and Carl have both doubled their money, whereas Allen has managed to lose $200 dollars. What was Allen's original portion?

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