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May 13, 2008

The Missing Dollar Problem

Three friends went to a hotel. The bill was Rs $75
Each one contributed $25. The waiter took the bill to the cashier.
The cashier was happy & decided to give them a discount of
$5 and asked the waiter to return them $5.

Now the waiter was confused. How to distribute $5 among 3

He kept $2 in his pocket and gave $1 to each one
of the 3 persons. So initially each one had contributed
$25. Now as they are Given $1 back, their contribution
reduces to $24. They all contributed $24. ie
24x3=72 and 2 dollors are in the waiters pocket.
The total becomes $74. But they had paid $75.
Where is the remaining $1?


Secret Squïrrel said...

The puzzle is created by adding the wrong amounts together.

The customers initially paid 75 but now THINK that they have paid 72 with 3 returned to them. 72+3=75.

Alternatively, the customers have ACTUALLY paid a total of 70 with 3 returned to them and 2 in the waiter's pocket. 70+3+2=75.

Anonymous said...


Anonymous said...

They paid 72.
2 are in the waiters pocket.
70 are in the till.

Mohammad Azimuddin said...

No need to add 2 with 72 as it is previously added in it.
So we just have to add 3 that is returned from the waiter to the 3 persons.