AMC 10 Step by Step
2014 AMC 10BProblem 11P11-15~3 minPrint

For the consumer, a single discount of n%n\% is more advantageous than any of the following discounts:

(1) two successive 15%15\% discounts

(2) three successive 10%10\% discounts

(3) a 25%25\% discount followed by a 5%5\% discount

What is the smallest possible positive integer value of nn ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.