Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 4, October 2022
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 1 000.
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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