AMC 10B 2014 Problem 11

For the consumer, a single discount of n \% is more advantageous than any of the following discounts:
(1) two successive 15 \% discounts
(2) three successive 10 \% discounts
(3) a 25 \% discount followed by a 5 \% discount

What is the smallest possible positive integer value of n ?

Answer Choices
A. 27
B. 28
C. 29
D. 31
E. 33