Imagine that ten people went out to eat every day. The bill was 100 euro. If they paid the bill like we pay taxes, it would end up like this: The first four, the poorest, wouldn't pay anything at all. The fifth man would pay 1 euro, the sixth man 3 euro, the seventh man 7 euro, the eigth man 12 euro, the ninth man 18 euro and the the tenth man, the richest one, would pay 59 euro. They decided to pay the bill that way.
They ate at a restaurant every day and felt happy. But one day, the restaurant owner gave them a discount.
"Since you eat here every day, I'll give you a 20 euro discount", he said. "Your meal for ten people will only cost 80 euro".
The four who didn't pay weren't affected. But how would the rest divide the discount, and still keep their system? If everyone got to pay 3,33 euro less (20 euro divided by six) the fifth and the sixth man would get paid to eat.
However, the restaurant owner thought it would be a good idea to reduce everyones part of the bill in about the same way. They started calculating how much each man would pay now.
The result was that the fifth man could eat for free along with the four poorest. The sixth man had to pay 2 euro, the seventh man 5 euro, the eight man 9 euro and the ninth man 12 euro. The tenth man now only had to pay 52 euro instead of 59.
Everyone saved some money and the poorest continued to eat for free. But outside the restaurant they compared what they had saved.
"Hey I only saved 1 euro but he saved 70!", said the sixth man and pointed at the tenth man.
"Exactly! I only saved one euro too", said the fifth man. "This is unfair! He got seven times more than me! Why do the rich always get more?"
"Hey wait a second! We, the four poorest, didn't get anyhing at all! This system exploits the poor!"
Everyone got mad at the tenth man, surrounded him and beat him up.
The tenth man didn't show up for the next meal. But rest noticed something. Suddenly, they couldn't pay the bill because they were 52 euro short!
They ate at a restaurant every day and felt happy. But one day, the restaurant owner gave them a discount.
"Since you eat here every day, I'll give you a 20 euro discount", he said. "Your meal for ten people will only cost 80 euro".
The four who didn't pay weren't affected. But how would the rest divide the discount, and still keep their system? If everyone got to pay 3,33 euro less (20 euro divided by six) the fifth and the sixth man would get paid to eat.
However, the restaurant owner thought it would be a good idea to reduce everyones part of the bill in about the same way. They started calculating how much each man would pay now.
The result was that the fifth man could eat for free along with the four poorest. The sixth man had to pay 2 euro, the seventh man 5 euro, the eight man 9 euro and the ninth man 12 euro. The tenth man now only had to pay 52 euro instead of 59.
Everyone saved some money and the poorest continued to eat for free. But outside the restaurant they compared what they had saved.
"Hey I only saved 1 euro but he saved 70!", said the sixth man and pointed at the tenth man.
"Exactly! I only saved one euro too", said the fifth man. "This is unfair! He got seven times more than me! Why do the rich always get more?"
"Hey wait a second! We, the four poorest, didn't get anyhing at all! This system exploits the poor!"
Everyone got mad at the tenth man, surrounded him and beat him up.
The tenth man didn't show up for the next meal. But rest noticed something. Suddenly, they couldn't pay the bill because they were 52 euro short!