Thursday 9 May 2013

Maths puzzle

You want to stay overnight in Town X and you'd like to have dinner and breakfast at a certain hotel where the restaurant has a good reputation.

You ring up and ask what breakfast and dinner cost, but you are told that it is a "guests only" restaurant. If you want to eat there, you'll have to book a room there first.

"OK," you say "How much is a room?"

"It's £80 pppn for a standard room, sir, if you want dinner the night before as well it's £100 and if you also want breakfast in the morning, it's £110. Or, if you just want the room and breakfast, it's £90."


You happen to know that the £80 charge for a room is pretty standard for hotels in Town X (so £80 is what you were going to spend anyway), so you decide to go for the full deal for £110.

Question:

How much does the dinner cost and how much does the breakfast cost? You are not allowed to make any clever further assumptions like saying "Nothing. It was all on expenses."

7 comments:

Man With a Polish Wife said...

Nothing - it was on expenses.

Barnacle Bill said...

Am I an MP or, a common pleb?

If I'm an MP it's not going to cost me a penny.
If I'm a pleb the family are going to go hungry for the rest of the week.

Kj said...

From a the point of view that your preference is to eat at that particular restaurant, the fact have to pay for the room to eat at the restaurant makes the price for dinner 100£, and breakfast 90£. Is this the trick answer, or was it just 20 and 10?

Mark Wadsworth said...

MWPW - in which case, please work out the extra cost to your employer.

BB - in which case work out the extra cost to the taxpayer/to your family.

Kj, clue: it's not a trick question.

SumoKing said...

£20 for dinner and £10 for brekkie, also, I get to have the cereal stuff and I'll be wanting pancakes and maybe scrambled eggs and a bit of salmon and a fried slice, none of this "we do 2 set menus" nonsense

Bayard said...

I'd say that part of the cost of the dinner is included in the cost for the breakfast, as the likelihood of you dining elsewhere is greater than that of you breakfasting elsewhere, so say £22.50 and £7.50 for dinner and breakfast respectively.

Mark Wadsworth said...

Kj, SK, it is indeed £20 and £10.

B, I'll accept £22.50 and £7.50. That still adds up to £30.

Not difficult is it?

What is the relevance of this? you might ask.

Answer: the stupid KLN that you can't value urban land because it seldom happens that bare land (without a building on it) is sold or rented. You just work by subtraction and comparing prices for similar buildings on different plots in different areas. That gives you the relative values of the plots. Simples.