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## Deducting Motorcycles

Math brain teasers require computations to solve.

 Puzzle ID: #1869 Fun: (2.38) Difficulty: (1.73) Category: Math Submitted By: missie Corrected By: tsimkin

Two years ago, a man was offered a motorcycle for \$1024, but he declined to buy it. A year later, he was offered the same motorcycle for \$640, but again decided not to buy it. A little while after that, he was again offered the motorcycle, this time at \$400. Again, he refused to buy it. Last week, he turned the motorcycle down even though the price had now fallen to \$250. If the owner offers it for sale yet again, and he makes a consistent reduction, how much will it be for sale for the next time?

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 starman Jan 22, 2002 Not to split hairs but it is in the math category so \$156.25 is more exact. 12345_lewis2 Jul 19, 2006 Gee, another deduction??? stil Oct 07, 2006 It easy to tell that the time intervals must be red herrings. Otherwise there would be no practical way to solve the puzzle. TROUBLE is it's unnatural that a year, a week, and other less determined periods all result in a 37.5% discount.