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?

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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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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.

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$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.

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Basically, you're looking at the question all wrong in the last part, where the missing dollar "disappears".

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