# Thread: Where is the missing £1?

1. ## 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?

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suresh

2. ## Re: Where is the missing £1?

This One looks really surprising and convincing peripherally..
lets say each one paid &#163;10..
So the total is 3 * &#163;10 = &#163;30
Since the Room rate is &#163;25 Each persons contribution is &#163;25/3 = &#163;8.33
Now they get &#163;1 Back so every one paid &#163;9.33 towards the room rent (as opposed to &#163;9.00 and there is your missing &#163;1 {0.33 * 3})
Now (&#163;9.33 * 3) + &#163;2.00 = &#163;30..

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

Thanks,
-G

3. ## 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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suresh

4.

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