Solve the Mystery of Missing Dollar

Missing Dollar Riddle

Three friends check into a hotel. They pay $30 to the manager and go to their room. The manager suddenly remembers that the room rate is $25 and gives $5 to the bellboy to return to the people.  On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid £9 each, totalling $27. The bellboy has $2, totalling $29.

missing dollar riddle

Where is the missing $1?

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The above  missing dollar riddle is a famous problem that illustrates problems of confusion and misdirection in conversation. It illustrates how misdirection and irrelevant facts and questions can foil a person’s clear understanding of a problem. Apply your mind and explain the logic behind the missing dollar.

Follow-up to the above problem – An interesting resolution is often cited as the solution to the above problem. Just read the following paragraph and post a comment whether you agree or not the given resolution to the above mystery.

A few months later, two of the original three guests check into a hotel room in the same hotel. The clerk says the bill is $20, so each guest pays $10. Later the clerk realizes the bill should only be $15. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn’t know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $3 for himself.

Now that each of the guests has been given $1 back, each has paid $9, bringing the total paid to $18. The bellhop has $3, so $18 + $3 = $21, and the guests originally handed over $20, so that’s where the missing dollar from the original problem is!

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