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Thread: Where is the missing 1?

  1. #1
    Contributing Member
    Join Date
    Sep 2006

    Where is the missing 1?

    Three people 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. Where is the missing 1?


  2. #2
    Junior Member
    Join Date
    Jan 2006

    Re: Where is the missing 1?

    This One looks really surprising and convincing peripherally..
    lets say each one paid £10..
    So the total is 3 * £10 = £30
    Since the Room rate is £25 Each persons contribution is £25/3 = £8.33
    Now they get £1 Back so every one paid £9.33 towards the room rent (as opposed to £9.00 and there is your missing £1 {0.33 * 3})
    Now (£9.33 * 3) + £2.00 = £30..

    Its an excellent example of how you can tweak a logic to showcase it in a totally different angle..


  3. #3
    Contributing Member
    Join Date
    Sep 2006

    Smile Re: Where is the missing 1?

    Yes Goutham....

    We have to be careful what we are adding together. Originally, they paid 30, they each received back 1, thus they now have only paid 27. Of this 27, 25 went to the manager for the room and 2 went to the bellboy.


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