Where is the \$ 1?

1. 31
jacobkuttytaposted 6 years ago

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?

2. 95
dezalyxposted 6 years ago

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.

3. 60
FBNaturalRposted 6 years ago

\$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.

4. 0
mynameisstefanposted 6 years ago

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

5. 90
SidKempposted 6 years ago

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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