Where has the remaining $10 gone?

CAN U SOLVE THIS?

Three Ladies went to a hotel to share a room.

The clerk asked for $300.

Each Lady paid $100, making up the $300.

The hotel keeper then decided to allow a discount for the day, charging only $250 for the room.

He told the clerk to return $50 to the three Ladies.

The clerk pocketed $20 for himself. He gave the remaining $30 back to the three Ladies.

EachLady took back $10. Therefore, each Lady paid 100 - 10 = $90 to the hotel.

$90 x 3 = $270 + the clerk's $20 = $290.

Question: Where has the remaining $10 gone?

There is widespread interest in this question posted by a university in N.Z.

Many people are still trying to work out an answer.


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