Alan, Bonny, Chris, Damien, Eli and Francis go to a pub to celebrate Alan’s bachelor party. They order 600 ml of liquor. The waiter is a part time worker there. He is pursuing a mathematics course from a reputed college. He decides to play a game with the six guys. He pours a different amount of liquor, greater than equal to zero, in each of the six friends’ glasses in such a way that amount of liquor got by Alan, Bonny, Chris, Damien, Eli and Francis are in descending order. He then asks Alan to equally divide the liquor present in his glass into the glasses of the rest of his friends. He now asks Bonny to repeat the procedure. One by one, he asks all the 6 friends to do the same. After Francis, who is the last one to distribute his liquor into the glasses of the rest of his friends, they noticed that all of them had the same amount of liquid that was originally poured into their glasses. They were mighty pleased by the intelligence of the waiter and tipped him handsomely. What is the amount of liquor (in ml) that was poured into Damien’s glass? Give a detailed explanation for your answer.
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