See if you can get this Maths Question right

Page 5 - Seeking answers? Join the AnandTech community: where nearly half-a-million members share solutions and discuss the latest tech.

royaldank

Diamond Member
Apr 19, 2001
5,440
0
0
Originally posted by: mooncancook
hmm let me think again.

He gains $3 total from the sale (21-18). Then he lose $100 to the neighbor for the fake bill. 100-3=97.

So my final answer is $97.

Exactly where does he gain this $3? If the product never sold, sure. But, if I had walked in next and bought it (or if the guy had used a legit $100), he would have made that $3.
 

Glavinsolo

Platinum Member
Sep 2, 2004
2,946
0
0
Originally posted by: royaldank
This is like the bellhop riddle.

Three guys pay for a $150 room with a $50 bill each. Shopkeeper decides he overcharged $5 and sends it up with the bellboy. He tells the guys and shows them the $5. They decide to each take $1 from the bellboy and let him have the extra $2. So, each guy paid $49 which equals $147. Now, add the $2 the bellboy has in his pocket and that's only $149. Where's the extra dollar.


Easy

145/3 = 48.333

+1 = 49.333 (Each guy didnt pay $49 they paid $49.3333)

49.333*3=148

$2 goes to bellboy
 

MobiusPizza

Platinum Member
Apr 23, 2004
2,001
0
0
Originally posted by: mobobuff
Originally posted by: royaldank
This is like the bellhop riddle.

Three guys pay for a $150 room with a $50 bill each. Shopkeeper decides he overcharged $5 and sends it up with the bellboy. He tells the guys and shows them the $5. They decide to each take $1 from the bellboy and let him have the extra $2. So, each guy paid $49 which equals $147. Now, add the $2 the bellboy has in his pocket and that's only $149. Where's the extra dollar.

Please don't.

That's easy actually
The price of room was overcharged $5. The room cost for each person is ($150-$5)/3 = $145/3 = $48.333333

They paid $49 * 3 = $147 in total. Minus room cost $145 = $2 which the bellboy has.
The $1 never existed
 

Barrak

Guest
Jan 8, 2001
710
0
81
He gave out 79 in change, 18 for the item, and another 100 to the other store for grand total of

197 net loss
 

mooncancook

Platinum Member
May 28, 2003
2,874
50
91
Originally posted by: royaldank
Originally posted by: mooncancook
hmm let me think again.

He gains $3 total from the sale (21-18). Then he lose $100 to the neighbor for the fake bill. 100-3=97.

So my final answer is $97.

Exactly where does he gain this $3? If the product never sold, sure. But, if I had walked in next and bought it (or if the guy had used a legit $100), he would have made that $3.

Remember he got $100 from the neighbor in the first place? He gave $79 in change to the buyer, so he keeps $21 for the purchase. That $21 didn't go back to the neighbor, it's his. So he makes $3 out of it.
 

mchammer187

Diamond Member
Nov 26, 2000
9,116
0
76
Originally posted by: Barrak
He gave out 79 in change, 18 for the item, and another 100 to the other store for grand total of

197 net loss

if he gave out 79 in change why would he have to ask his neighbor for anything?
 

mobobuff

Lifer
Apr 5, 2004
11,100
1
81
Originally posted by: AnnihilatorX
Originally posted by: mobobuff
Originally posted by: royaldank
This is like the bellhop riddle.

Three guys pay for a $150 room with a $50 bill each. Shopkeeper decides he overcharged $5 and sends it up with the bellboy. He tells the guys and shows them the $5. They decide to each take $1 from the bellboy and let him have the extra $2. So, each guy paid $49 which equals $147. Now, add the $2 the bellboy has in his pocket and that's only $149. Where's the extra dollar.

Please don't.

That's easy actually
The price of room was overcharged $5. The room cost for each person is ($150-$5)/3 = $145/3 = $48.333333

They paid $49 * 3 = $147 in total. Minus room cost $145 = $2 which the bellboy has.
The $1 never existed

Just stop.
 

MobiusPizza

Platinum Member
Apr 23, 2004
2,001
0
0
Originally posted by: mobobuff
amoeba was actually the first to have the correct answer.

Sorry did I missed his post? Hm let me check...

Ah yes.
It would have been easier to notice if he gave a paragraph for an explanation.
At least to prove that it was not a mere guess :)
 

MobiusPizza

Platinum Member
Apr 23, 2004
2,001
0
0
Originally posted by: mooncancook
Originally posted by: royaldank
Originally posted by: mooncancook
hmm let me think again.

He gains $3 total from the sale (21-18). Then he lose $100 to the neighbor for the fake bill. 100-3=97.

So my final answer is $97.

Exactly where does he gain this $3? If the product never sold, sure. But, if I had walked in next and bought it (or if the guy had used a legit $100), he would have made that $3.

Remember he got $100 from the neighbor in the first place? He gave $79 in change to the buyer, so he keeps $21 for the purchase. That $21 didn't go back to the neighbor, it's his. So he makes $3 out of it.


The neighbour did not gain nor lose anything

The neighbour gave the shopkeeper $100 change while received a fake $100 note. (-100)
The shopkeeper gave the neighbour $100 afterwards for the worthless courtfeit note (+100)
That levels out to $0 gain/lost for the neighbour
 

royaldank

Diamond Member
Apr 19, 2001
5,440
0
0
Originally posted by: mooncancook
Remember he got $100 from the neighbor in the first place? He gave $79 in change to the buyer, so he keeps $21 for the purchase. That $21 didn't go back to the neighbor, it's his. So he makes $3 out of it.

If you still believe this, think of the problem this way.

I walk in with no money. I walk out with a $21 product and $79 in change. He's out $100.

I walk in with $100. I buy a $21 product and get $79 in change. He's made $3 (price vs his cost).

If that item was never going to be sold to anyone, then $97 would be correct. But, he missed out on his profit because he gave it away.
 

ABitTooSpicy

Senior member
Jun 30, 2004
923
0
76
I can't believe this thread is still going...

I'll throw my 2 cents in as well...

Come on people the answer is $97 (Edit - uh i mean 115 hehe)

Lets say the shop keep started off with just one item that he paid 18 for:
Has item worth 18
(give and take happens)
Now he has 21 dollars
(he is up 3 at this point)
(Fake note happens and he has to hand over 100)

so 3 - 100 = -97... shop keep is down 97

edit - ok just realized he started off with 18 and is now at -97 so therefore he lost 18+97 = 115...

That is my Final answer ;)
 

royaldank

Diamond Member
Apr 19, 2001
5,440
0
0
Originally posted by: ABitTooSpicy
I can't believe this thread is still going...

I'll throw my 2 cents in as well...

Come on people the answer is $97

Lets say the shop keep started off with just one item that he paid 18 for:
Has item worth 18
(give and take happens)
Now he has 21 dollars
(he is up 3 at this point)
(Fake note happens and he has to hand over 100)

so 3 - 100 = -97... shop keep is down 97

edit - ok just realized he started off with 18 and is now at -97 so therefore he lost 18+97 = 115...

That is my Final answer ;)


The item would have sold for $21 if he had a legit $100. He didn't. Shop keep didn't make this $3. He would have been $3 further ahead had he actually sold it instead of giving it away, which gives you the final answer of $100.

 

ABitTooSpicy

Senior member
Jun 30, 2004
923
0
76
Originally posted by: royaldank
Originally posted by: ABitTooSpicy
I can't believe this thread is still going...

I'll throw my 2 cents in as well...

Come on people the answer is $97

Lets say the shop keep started off with just one item that he paid 18 for:
Has item worth 18
(give and take happens)
Now he has 21 dollars
(he is up 3 at this point)
(Fake note happens and he has to hand over 100)

so 3 - 100 = -97... shop keep is down 97

edit - ok just realized he started off with 18 and is now at -97 so therefore he lost 18+97 = 115...

That is my Final answer ;)


The item would have sold for $21 if he had a legit $100. He didn't. Shop keep didn't make this $3. He would have been $3 further ahead had he actually sold it instead of giving it away, which gives you the final answer of $100.

You didn't read my edit =)

I changed answer from 97 to 115...

Edited again as I didn't like my $3 explanation... lol
 

Amused

Elite Member
Apr 14, 2001
55,793
13,754
146
In reality, I would give my neighbor the finger, and keep the $21. Thus making a net gain of $3.

"OMGWTF??? That's not the bill I gave you!!!"

:p ;)
 

Yax

Platinum Member
Feb 11, 2003
2,866
0
0
He's out $18 for the cost of the product.
He's out $100 which he had to pay the neighbor.
Total loss: $118.
 

Amused

Elite Member
Apr 14, 2001
55,793
13,754
146
Originally posted by: Yax
He's out $18 for the cost of the product.
He's out $100 which he had to pay the neighbor.
Total loss: $118.

You're forgetting he kept $21 out of the $100 when he made change at the time of sale.

It's $100 folks. Businesses count the lost profit as a loss when an time is stolen. They claim the retail price, not the wholesale price.
 

Yax

Platinum Member
Feb 11, 2003
2,866
0
0
Originally posted by: Amused
Originally posted by: Yax
He's out $18 for the cost of the product.
He's out $100 which he had to pay the neighbor.
Total loss: $118.

You're forgetting he kept $21 out of the $100 when he made change at the time of sale.

It's $100 folks. Businesses count the lost profit as a loss when an time is stolen. They claim the retail price, not the wholesale price.

NO, he didn't get to keep that because he had to give that to the other shop's owner. ($100 payback). He lost $18 which is the cost of the product so when you add that to the $100, it makes $118.

Edit: Well, what he claims and what he actually lost are different things. Ofcourse you're going to claim the lost profit. It makes good biz sense to do so.
 

r6ashih

Senior member
May 29, 2003
667
0
0
the shop keeper is out $200

he gave 100 of product and change to the purchaser
had to repay 100 to neighbor
 

mchammer187

Diamond Member
Nov 26, 2000
9,116
0
76
Originally posted by: Yax
Originally posted by: Amused
Originally posted by: Yax
He's out $18 for the cost of the product.
He's out $100 which he had to pay the neighbor.
Total loss: $118.

You're forgetting he kept $21 out of the $100 when he made change at the time of sale.

It's $100 folks. Businesses count the lost profit as a loss when an time is stolen. They claim the retail price, not the wholesale price.

NO, he didn't get to keep that because he had to give that to the other shop's owner. ($100 payback). He lost $18 which is the cost of the product so when you add that to the $100, it makes $118.

you are saying the shop owner is getting a free $21 out of the deal

neighbor gives change $79 to the customer but makes the first owner pay him back $100?
 

MobiusPizza

Platinum Member
Apr 23, 2004
2,001
0
0
The answer is $100 as stated at page 5

Basically what Amused said
Its not $97 as if the buyer didnt cheat the shopkeeper would have earned $3 by selling the $21 product
-$100 would be what the shopkeeper would put down in his account book
 

piasabird

Lifer
Feb 6, 2002
17,168
60
91
First he lost $100.00 to his friendly neighbor shop keeper, Then he lost $71.00 that he gave the Customer in change. Then He lost the cost of the Item which was $18.00 and the profit which was $4.00. He also should have collected Taxes on the item he sold, But he may not have to pay that since Forgery may have been involved.

This is somewhat complicated because you may or may not count the $4.00 in Profit, but I think you have to because that is the lost opportunity cost. You could also add in an approximation of what it took to order the item and have it delivered, and what the space on the shelf represents as a part of the fixed cost to maintain the store and store the item and pay your employees, electricity, etc.

Oops $3.00 in profit.