You Be The Detective!
In a village consisting of 100 huts people have to pay annual revenue to the king. The huts are numbered 1 to 100 and each hut has to pay x dollars where x denotes the house number. For example hut 1 inhabitants should pay 1$ and so on. The money is handed over as a check to the minister who exchanges it for money in a local bank and then delivers the amount to the king. The check leaf bears only the sum of the amount wriiten in words and no digits.The clever minister senses his oppertunity and alters the checks. For example a check of 20 $ can be altered by adding nine after twenty so it finally becomes a check for 29 $ and so on. By the banks policy of check exchange one can only convert a check worth 500 $ or below. What is the maximum profit that the minister can have by altering the checks?
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1 solution
The Alteration can take place in the following manner (1 > 199 Profit 198) (2 > 299 Profit 297) (3 > 399 Profit 396) (4 > 499 Profit 495) (5 > 500 (Note: 5000 is the max possible amount) Profit 495) (6 > 69 Profit 63) (7 > 79 Profit 72) (8 > 89 Profit 81) (9 > 99 Profit 90) (20 > 29 Profit 9) (30 > 39 Profit 9) (40 > 49 Profit 9) (50 > 59 Profit 9) (60 > 69 Profit 9) (70 > 79 Profit 9) (80 > 89 Profit 9) (90 > 99 Profit 9) (100 > 199 Profit 99)
So net profit is 2358