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Cents per cents

771 bytes added, 08:32, 6 August 2017
Created page with "This is my version of a puzzle I originally saw on [https://www.theguardian.com/science/2017/jun/19/can-you-solve-it-pythagorass-best-puzzles Alex Bellos's Puzzle Block]. ==P..."
This is my version of a puzzle I originally saw on [https://www.theguardian.com/science/2017/jun/19/can-you-solve-it-pythagorass-best-puzzles Alex Bellos's Puzzle Block].

==Puzzle==

100 of the dimmest bank robbers recently broke in to the Denver Mint and made off with a truck-load of fresh new pennies. To divvy up their loot, they decide that the youngest thief will get 1% of the score, then the 2nd youngest will get 2% of what is left, the third youngest getting 3% of what is left after that, and so on, until the oldest (100th youngest) gets 100% of what is left after everyone has taken their share.

Which thief receives the largest share? Further, what is the least amount of money he will leave with, assuming no rounding occurs while splitting the take?
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