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2014 AMC 10B Problem 11

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2014 AMC 10B Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Ratios, Percents & Averages · difficulty 2 of 5 · about 3 min · position P11-15

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 ?

  1. A)

    2727

  2. B)

    2828

  3. C)

    2929

  4. D)

    3131

  5. E)

    3333

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