Very Strange Riddle!

[Jindo]

Found on jmtb02 forums:

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Three girls want to buy a CD player down at the local electronics store. The price of the CD player is $30.00. The girls decide to each put in $10.00, and buy it. Yay!
But the next day, the manager of the local electronics store realised that the girls were overcharged! The CD player was actually $25.00! The manager, being nice and all, decided to give back the $5.00 that the girls shouldn't of payed. So he gives the $5.00 to one of the salesmen!
The salesman pockets $2.00 for himself (greedy bastard), and then gives $1.00 to each of the three girls. Problem solved!

But hold on there...let's add this up...
$10.00 from each of the girls, minus the $1.00 they all got back. This makes $9.00 from all the girls, which equals $27.00. Yes?
Then there's the $2.00 that the salesman pocketed. So add that all up: $29.00!

..wait a second...the girls payed $30.00 for the CD player, not $29.00!
Where did the extra dollar go!?!?!?!?!?

---

On the thread on jmtb, there was no answer and no one had solved it, can YOU??

~Jindo

 

[DM Cross]

It's added wrong. Why are you adding the $2 to the total the girl's paid? That was "given back", right? While the girls never got it, it was still taken out of the price. You -2 from $27, getting $25.

 

[Jo.O]

This makes $9.00 from all the girls

If they would have paid $25 they would have paid 8.33333333... not $9 each.

They dollar is missing because of... (lol don't know the word in english).
It's "avrundning" in Swedish, maybe some other swede can translate.

 

[DM Cross]

Taxes? Change?

 

[Jo.O]

No, it's like... hmm...

If you buy something that costs like $99.99 you can "avrunda" it and say it costs $100

 

[monoVertex]

Approximation.

 

[Krys A Night]

round is what i think that he's looking for.

when it's $99.99 we round up to $100

 

[Jindo]

It's added wrong. Why are you adding the $2 to the total the girl's paid? That was "given back", right? While the girls never got it, it was still taken out of the price. You -2 from $27, getting $25.

I see this has caught every one so far ^_^.

You're trying to get the whole $30 back, 25 is the cost of the CD player, but they payed 30 instead, they each get a dollar back (30 - 3 = 27) but then the other 2 dollars is kept by the greedy man (27+2 = 29), but there's a stray dollar which no one has ever/will ever found/fine .

(In other words, you're not just trying to find out how the stray dollar happened, you're trying to get all $30 added up).

It stumped me, and it stumped everyone xD.

~Jindo

 

[mase]

Lol, they got $11 not 9

 

[Jindo]

ee-er

$10 MINUS the dollar they were each given

=

$9 .

~Jindo

 

[DM Cross]

I still don't understand why you're adding the stolen 2 dollars to the price of the CD. The CD still only cost 25. The store still only received 25 for it, since they gave 5 back. Whether or not that 5 reached the girl's hands has nothing to do with it. I see every dollar accounted for...

 

[mase]

Seth is right, y are you adding the 2 stolen dollars? Your supposed to subtract them to get the cost of the cd.

 

[Jindo]

NO !

I already explained in an earlier post, you're not trying to get the cost of the cd player, you're trying t get all $30 back .

This riddle is clearly confusing .

(Though in a way, yes, Seth is right .. almost as always (Ax3))..

~Jindo

EDIT: Just read Seth's post.. he is completely right .

Everyone rep Seth while I find a harder riddle xD.

EDIT 2: But how come there's only $29 after added up? Even though you can get see all $30, can you (following the puzzle) add up to the $30.

 

[ragingspeedhorn]

I don't see how this is so complicated and why you only say seth is somehow right, he is right right. I also don't understand why you keep on with your 27+2 stuff, makes no sense to me.

 

[DM Cross]

You're forumla is wrong. The 2 should be subtracted, not added.

Common sense. Take 3 away, add 2. A dollar is missing. But the 2 dollars was NOT added back to the price, or the amount of money the girls spent. It was given back and if anything is missing, the 2 dollars are because the cashier pocketed it.

 

[ragingspeedhorn]

You're forumla is wrong. The 2 should be subtracted, not added.

Common sense. Take 3 away, add 2. A dollar is missing. But the 2 dollars was NOT added back to the price, or the amount of money the girls spent. It was given back and if anything is missing, the 2 dollars are because the cashier pocketed it.

Exactly. For once I am on Seth's side about something

 

[Duwenbasden]

writing up the full explanation...

$30.00 = original amount paid
$25.00 = real price
$2.00 = stolen
$1.00 x 3 = what the girls got at the end

So the whole things looks like...
$30.00 - $1.00 x 3 = $25.00 + $2.00
The original paid price - the rebate = Price of CD + stolen amount

which is

$30.00 = $25.00 + $2.00 + $1.00 x 3
The price of the CD + the amount stolen + the rebate = $30.00 which is the original amount paid

So...

$30.00 - $1.00 x 3 = $27.00 <--- the actual amount paid (original less rebate)

which is equal to

$25.00 + $2.00 (stolen) = $27.00  <---- paid at the end

Actual amount paid = price of CD + stolen money

------

Now tell me, how do you manage to
$27.00 + $2.00 = $29.00

when the logic clearly states that
$30.00 - ($1.00 x 3) = $25.00 + $2.00 + $1.00 x 3 - ($1.00 x 3)
$27.00 = $25.00 + $2.00
$27.00 - $2.00 = $25.00

explain your logic

Using the logic from the riddle:

CD Player = $30.00
Girls paid at first = $10.00
Girls = 3

$10.00 x 3 = $30.00

Real price of CD Player = $25.00

$30.00 - $25.00 = $5.00 which is the amount overcharged

Salesperson pocketed $2.00

$5.00 - $2.00 = $3.00 what each girl will get at the end
$5.00 = $2.00 + $3.00

to summarize at this point

$30.00 = $25.00 + $5.00
$30.00 = $25.00 + $2.00 + $3.00
$30.00 = $25.00 + $2.00 + ($1.00 x 3)

Which means:
$30.00 - ($1.00 x 3) = $25.00 + $2.00 + ($1.00 x 3) - ($1.00 x 3) minus both sides by ($1.00 x 3)

OR

($10.00 x 3) - ($1.00 x 3) = $25.00 + $2.00 + ($1.00 x 3) - ($1.00 x 3)

which equals (solution)
$27.00 = $25.00 + $2.00
OR
($9.00 x 3) = $25.00 + $2.00

According to the flawed logic:

$10.00 x 3 - $1.00 x 3 = $27.00
$27.00 + $2.00 = $29.00

When combined with our equation of $27.00 = $25.00 + $2.00:
$25.00 + $2.00 + $2.00 = $29.00

Which is 

$25.00 + 2 x $2.00 = $29.00

Where did the extra $2.00 come from? We only have 1 
stolen amount which is already included in the $27.00 
as proven in our solution.

 

[monoVertex]

Guys, you don't get it... His 'formula' is to confuse you. The correct way is what Seth posted and Jindo knows it... the way of counting in the riddle is only a trickery...

 

[Duwenbasden]

Guys, you don't get it... His 'formula' is to confuse you. The correct way is what Seth posted and Jindo knows it... the way of counting in the riddle is only a trickery...

Ya, but do you know the "Ways of counter-irritation"?

 

[Jindo]

Guys, you don't get it... His 'formula' is to confuse you. The correct way is what Seth posted and Jindo knows it... the way of counting in the riddle is only a trickery...

I know that he's right, people do see every dollar, the real question is when added up, why do you end up with 29 and not 30? .

(btw, this isn't my riddle ).