Where is the $ 1?
Three people staying in a rented place. They pay $10 each foe a month. Total $30 a month as rent.The rent has been collected by the Landlord's servant. Landlord has compassion on his servant and pay him $5 for his service out of $30.
As a good servant, he kept $2 with him and return $1 each to the tenants.
After receiving $1 from the servant, the total amount paid by the tenants is $9 each.
Now the question is where is the one dollar out of $ 30 if you calculate in this way.
3 people paid x $9 each = $27 + $2 (kept by the Servant) = $29
Where gone the $1 out of the total $ 30?
In the first scenario, the landlord gave away $5 to the servant. So the landlord gets a net of $25 from renting out his place.
When you changed the scenario with each tenant paying $9 each, the landlord gets a total of $27. If he wants to keep the same amount of $25 from the first scenario, he can only give $2 to the servant, which is the same amount he received in the first case.
You are looking for the missing $1. Instead of adding $2 to the $27, you should have subtracted it.
$10 * 3 = $30
$30 - $5 = $25 => $30 = $25 + $5
$5 = $2 + $1 + $1 + $1
$30 = $25 + $2 + $1 + $1 + $1
$27 = $25 + $2 => $27 - $2 = $25
If they each paid $9, for a total of $27, and the servant kept got $2, then the rent total comes to $25 that the landlord received. Looking at the equations above, there is no reason to add $2 to the $27, just as dezalyx says. You should subtract $2 from $27.
Basically, you're looking at the question all wrong in the last part, where the missing dollar "disappears".
Work this out as an accounting problem, and it turns out to be fun. The answer is that the $30 never existed!
Each person paid $10, but got $1 back. So the real rent is $27, not $30. (Incidentally, the landlord kept $25 and gave the servant $20.)
If the servant had not returned the $3, then the rent would have been a total of $30, with the Landlord getting $25 and the servant getting $5.
So, essentially, the servant turned the total rent figure from $30 to $27 by returning $3, $1 to each tenant.
So, the question is not "Where is the $1?" The question is "Where is the $3?" and the answer is "returned to the tenants, $1 each."
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