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A tricky Math(s) problem
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Mar 30, 2022 14:47:49   #
cbabcock
 
whatdat wrote:
What does a lens have to do with it? All transactions involved a goat.


Think of it as a different goat, if that makes more sense to you. It doesn't matter what the things bought and sold are, just that there are two transactions, $10 profit on each.
I thought that buying and selling a lens might put a little photography humor into the analysis.

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Mar 30, 2022 15:11:59   #
Rich475 Loc: North of San Francsico
 
A man buys a goat for $60
He sells it for $70
At this point he has made $10 profit
But now he must pay $80, an extra $10 to buy it back which wipes out that profit.
He sell it for $90 or, $10 more than he just paid for it, so his profit is $10

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Mar 30, 2022 15:15:53   #
Wallen Loc: Middle Earth
 
Lets have a look from the other side:

Man has a goat & 20$
20$ + goat

Sells the goat for "60"
20+60=80$

Buys the goat back for "70"
80-70=10$ + goat

Sell it again for "80"
10+80=90$

Buy it again for "90"
0$ + goat

He lost 20$ on the whole transaction which was gained by the other guy.
-----------------------------------------------

Or most probably this way:

Guy has goat & sell for $60
Guy have $60

Guy wants milk so went to buy the goat back.
But 60 not enough because seller wants $70
Guy borrows 10 from bank and add to his 60 to buy goat.

Guy now have a goat and bank debt of $10
Goat is male, no milk so Guy sell it for $80

Guy have $80 but is now hungry for meat
Guy wants to buy goat but the buyer already butcher it and will only sell for $90

Guy borrows again another $10 to add to his $80 and bought a piece of goat.

So now Guy has 12lbs of goat and $20 of debt.

But is not actually true because to borrow $10 from a bank, Guy really needs to borrow $10.2
He gets the 10 and bank keeps the 0.2 as upfront interest payment.

So he really owe the bank $20.4 for the two borrows.
But he choose 12 months payment so he would actually pay the bank $40 for the compounding interest.

So in reality, in the end, Guy has a 9lbs of goat meat, 3lbs of goat bones and $40 debt.

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Mar 30, 2022 15:26:06   #
Dannj
 
StanMac wrote:
I have $60 in my wallet. I spend that $60 for a goat. I sell the goat for $70 - I've made $10. Then I buy the goat back for $80 (I had to dip into my savings for extra $10) So I am down $10, negating the $10 gain I made on the first sale. I then sell the goat again for $90. I recovered the $10 I lost on the second sale, so I have made only $10 on the series of transactions. I have invested $80 in the goat and got only $90 for it.

Stan


I say it goes like this:

You actually invested 140 in the goat (60 + 80) and you actually received 160 (70 + 90). You have 20 more than you started with.

Or try it another way:

Let’s say you have 100 and you buy the goat for 60.
You now have 40.

You sell the goat for 70.
You now have 110.

You buy the goat back for 80.
You now have 30.

You now sell the goat for 90.
You now have 120.

You started with 100.
You now have 120.

You have 20 more than you started with.

Call it more, call it additional, or call it profit.

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Mar 30, 2022 15:43:39   #
Delderby Loc: Derby UK
 
Doesn't matter what it was - there were two purchases and two sales. EOS.

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Mar 30, 2022 16:03:05   #
john451 Loc: Lady's Island, SC/Columbia, SC
 
$20. Two entirely separate transactions with a $10 profit on each.

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Mar 30, 2022 16:07:55   #
BebuLamar
 
whatdat wrote:
But, he lost $10 between transactions, leaving $10.


He didn't lose $10 when he bought back for $80.

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Mar 30, 2022 16:14:25   #
josquin1 Loc: Massachusetts
 
$10.00

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Mar 30, 2022 16:37:37   #
philmurfin Loc: Bakewell, Derbyshire UK
 
Rich475 wrote:
A man buys a goat for $60
He sells it for $70
At this point he has made $10 profit
But now he must pay $80, an extra $10 to buy it back which wipes out that profit.
He sell it for $90 or, $10 more than he just paid for it, so his profit is $10


Rich,
I think the same way as you on this, it's got to be $10 unless there's a trick???

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Mar 30, 2022 17:11:45   #
Dannj
 
philmurfin wrote:
Rich,
I think the same way as you on this, it's got to be $10 unless there's a trick???


He ends up with $20 more than he started with. That’s his profit.

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Mar 30, 2022 17:14:36   #
Dannj
 
BebuLamar wrote:
He didn't lose $10 when he bought back for $80.


He ends up with $20 more than he started with no matter how you look it. Call it a “gain”, call it “more”, call it “profit”. He’s up $20.

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Mar 30, 2022 18:20:09   #
SteveR Loc: Michigan
 
The trick in the goat market is selling higher than you bought. This goat farmer seems to have mastered the art. In each trade he's up over 10%

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Mar 30, 2022 18:22:20   #
cedymock Loc: Irmo, South Carolina
 
twosummers wrote:
A man buys a goat for $60.
Then he sells it for $70.
Then he buys it back for $80
And sells it again for $90

How much profit did he make?

Mmmmm, I wonder?

No Googling or asking a nearby child....


Again in a different way;

60+10=70 70-8o= -10 +90= 80

Started with 60 now has 80 = +20

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Mar 30, 2022 18:31:59   #
David in Dallas Loc: Dallas, Texas, USA
 
marquina wrote:
$20 profit. $10 from the first transaction and $10 from the second transaction.
I agree. The two transaction pairs are separate events.

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Mar 30, 2022 18:39:09   #
StanMac Loc: Tennessee
 
I wonder how many pages twosummers will get out of this little math problem . . . .

Stan

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