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Can you solve this? Missing $10

winnipegjets

Alfrescian (Inf)
Asset
Three Ladies went to a hotel to share a room.

The clerk asked for $300.

Each Lady paid $100, making up the $300.

The hotel-keeper then decided to allow a discount for the day, charging only $250 for the room.

He told the clerk to return $50 to the three Ladies.

The clerk pocketed $20 for himself. He gave the remaining $30 back to the three Ladies.

Each Lady took back $10. Therefore, each Lady paid 100 - 10 = $90 to the hotel.

$90 x 3 = $270 + the clerk's $20 = $290.

Question: Where has the remaining $10 gone?

There is widespread interest in this question posted by a university in N.Z.

Many people are still trying to work out an answer.
 

MBSSLOTS

Alfrescian (InfP)
Generous Asset
There is no missing $10.

Ladies spent $270. Of which $250 went on the room and $20 to the clerk. We can not add the $20 to $270(the money spent by ladies) as $20 is part of expenditure $270.

Full details:

Rent: $250
Returned back: $30
Clerk kept: $20

Total: $300
 

looneytan

Alfrescian (Inf)
Asset
Previously there was another sum whereby that farker borrow money from father mother to buy a watch
 

Raiders

Alfrescian (InfP) + Mod
Generous Asset
Harder questions please. SBF brothers all PHD in their respective field of studies :biggrin:
 

greenies

Alfrescian
Loyal
Each women paid $90 each, total 3x90=270 inclusive of $20 pocketed by clerk.
Alternatively, they paid for hotel room $250 + clerk pocket $20, total $270.

Not difficult one...



Three Ladies went to a hotel to share a room.

The clerk asked for $300.

Each Lady paid $100, making up the $300.

The hotel-keeper then decided to allow a discount for the day, charging only $250 for the room.

He told the clerk to return $50 to the three Ladies.

The clerk pocketed $20 for himself. He gave the remaining $30 back to the three Ladies.

Each Lady took back $10. Therefore, each Lady paid 100 - 10 = $90 to the hotel.

$90 x 3 = $270 + the clerk's $20 = $290.

Question: Where has the remaining $10 gone?

There is widespread interest in this question posted by a university in N.Z.

Many people are still trying to work out an answer.
 
Last edited:

scroobal

Alfrescian
Loyal
As this riddle has been circulating for decades, here is the wiki version.


The missing dollar riddle is a famous riddle that involves an informal fallacy.
The riddle

Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. If the guests originally handed over $30, what happened to the remaining $1?
[edit]Solution

The initial payment of $30 is accounted for as the clerk takes $25, the bellhop takes $2, and the guests get a $3 refund. It adds up. After the refund has been applied, we only have to account for a payment of $27. Again, the clerk keeps $25 and the bellhop gets $2. This also adds up.
There is no reason to add the $2 and $27 – the $2 is contained within the $27 already. Thus the addition is meaningless (mixing cost and cash). Instead the $2 should be subtracted from the $27 to get the revised bill of $25.
This becomes clear when the initial and net payments are written as simple equations. The first equation shows what happened to the initial payment of $30:
$30 (initial payment) = $25 (to clerk) + $2 (to bellhop) + $3 (refund)
The second equation shows the net payment after the refund is applied (subtracted from both sides):
$27 (net payment) = $25 (to clerk) + $2 (to bellhop)
Both equations make sense, with equal totals on either side of the equal sign. The correct way to get the bellhop's $2 and the guests $27 on the same side of the equal sign ("The bellhop has $2, and the guests paid $27, how does that add up?") is to subtract, not add:
$27 (final payment) - $2 (to bellhop) = $25 (to clerk)
This is clearly not a paradox, and involves only the switching of subtraction for addition. Each patron has paid $9 for a total of $27. The storyteller adds the $2 that the bellhop pilfered, but he should have subtracted the $2 to make a total of $25 paid. So 3 × $9 = $27, which accounts for the $25 room and the $2 given to the bellhop.
 

MBSSLOTS

Alfrescian (InfP)
Generous Asset
Kum sia. But I don't know why I can't add you back :o

Its ok lah...all these points power kam lan! can change ntuc vouchers then got use.
Even a piece of toilet paper is more useful than these points and power.

fucking toilet paper can use to clean backsdee after shitting, at least! :biggrin:
 
Last edited:

halsey02

Alfrescian (Inf)
Asset
My thoughts were, the three paid $100@=$300. $50 was the refund, $10 each, $10 x 3=$30, the clerk took $20 so there was no missing $10. I guess trick was reading the sentence which logically was deceiving I guess.
 

Bigfuck

Alfrescian (Inf)
Asset
Poor maths and poor understanding.

To the customers, it is 300 with 30 dollar refund meaning they paid 270 for the hotel. If they are aware and accept the 20 dollar take by the clerk, then staying at the hole is 250 + additional 20 dollar tip or expenses = 270 and 30 dollar refund. If I do not tell say would the 3 ladies know it is 250? If I tell them it is 250 and yet they not respond to the missing 20, either they are generous or fail maths. No paradox or fallacy just fucked up guy.

It is like you pay 5 dollars for chicken rice when the stall owner sets it at 4.5. The PRC helper lies to you by saying it is only 4.7 and the helper pockets 0.3. You feel that PRC helper honest and that your chicken rice was actually cheaper when you are duped 0.3 But is it due to wrong information on your part to assume it is 5 dollars or you feel that a plate of chicken is worth 5 dollars in your utility evaluation (economics definition of utility). If you value it 5 dollars utility wise, any return of money, even if it is .01 dollar is a gain for u, non matter the actual selling price. The offer price was lower than your bid price by 0.5.
 

Jlokta

Alfrescian (InfP)
Generous Asset
Three Ladies went to a hotel to share a room.

The clerk asked for $300.

Each Lady paid $100, making up the $300.

The hotel-keeper then decided to allow a discount for the day, charging only $250 for the room.

He told the clerk to return $50 to the three Ladies.

The clerk pocketed $20 for himself. He gave the remaining $30 back to the three Ladies.

Each Lady took back $10. Therefore, each Lady paid 100 - 10 = $90 to the hotel.

$90 x 3 = $270 + the clerk's $20 = $290.

Question: Where has the remaining $10 gone?

There is widespread interest in this question posted by a university in N.Z.

Many people are still trying to work out an answer.

The last line in your maths problem is a PAP accounting type sentence

It should be the 3 women paid in the end $100 - $10 = $90 each, x3 = $270

so they paid $250 for the room and $20 for the clerk 'commission' = $270.

each thought they had a $10 discount, so total discount is $30. $30 + $270 = $300

the missing $10 in your first posting is now with Temasek Holdings, but it will take 50 men years to find it.


i copied this from another forum.
 
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