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# Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 2, April 2020

2020-04-28

## For a Good Cause

Find out the maximum payout.

In the advertising brochure of a charity lottery, the slogan "Winnings up to 100 000 Euros" appears. However, the brochure's small print shows that the respective prize is not paid out in full. Instead, a certain part of it is donated to charity. This share is calculated as follows: x% of the winnings is transferred to the charity, and x is calculated by dividing the profit by 1000.

Example: If the profit is 18 000 Euros, 18% of it will be donated to charity and the winner will only receive 14 760 Euros.

What is the maximum payout—in other words, how much money does the winner pocket?

## Solution

Based on the graph, you can see that with a profit of 50 000 Euros, a maximum of 25 000 Euros will be reached. Thus, the winner can receive a maximum payout of 25 000 Euros.

The function for this is: Payout (win) = win - win * (win / 100000)

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