Three people go to a hotel. They pay 30 dollars for a room, each paying 10..

The manager realizes that the price of that room is 25, and he sends the bellboy up to return five. The bellboy thinks that five dollars can’t be divided among the three guests, and so he returns one dollar to each and pockets the remaining two.

Now, if each paid ten and got back one, they paid nine each, totalling 27. The bellboy took 2, makes 29.

Where is the remaining dollar?

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