# A monday morning puzzle

Found 4th Oct 2010

3 guys go to London for the weekend and book into a cheap hotel-the receptionist tells them the room will cost 30 pounds,so they each pay a tenner each and go to their room.

Ten minutes later,the receptionist realises she has overcharged them and that the actual room cost is £25,so she calls the porter,gives him five pound coins and tells him to take the refund up to the room and give them it.

On the way upstairs,the porter pockets 2 quid for himself and refunds the 3 men one pound each.

So this means they have each paid £9 for the room-3x9=27,plus the £2 the porter took=£29.

so where is the other pound?

Ten minutes later,the receptionist realises she has overcharged them and that the actual room cost is £25,so she calls the porter,gives him five pound coins and tells him to take the refund up to the room and give them it.

On the way upstairs,the porter pockets 2 quid for himself and refunds the 3 men one pound each.

So this means they have each paid £9 for the room-3x9=27,plus the £2 the porter took=£29.

so where is the other pound?

they ended up paying £27 for the room (£25 for the hotel & £2 for the porter)

So this means they have each paid £9 for the room-3x9=27,

MINUSthe £2 the porter took=£25.err,no.because there was originally 30 quid so if its MINUS the 2 the porter took,then theres a fiver missing is there not? they originally forked over £30-if they get a one pound refund each they have paid £9 each for the room=27 PLUS the 2 the porter has in his pocket=29.

.............but there is still no missing pound.

ok sy-you too clever-you are correct-its a simple linguistic trick whereby you mix a multiplication and an addition and create a paradox(Im not that clever btw-thats the explanation in the book)

so it is all about how you explain it-the receptionist has 25,the guys have 3,the porter has 2=30

It right Barky.

They pay £30.

Receptionist gives porter £5.

They each get £1 back.

They have therefore paid £27 between them for a £25 room.

This leaves £2 difference for the porter to pocket.

Yes, granted this is correct, but they have already received the £1 refund at this point.

So they have paid 3 lots of £9 to make £27, but have had £1 refund each.

£27 + £3 = £30 originally paid.

(3 x £9) + (3 x £1) = £30.

Edited by:"greg_68" 4th Oct 2010