FERMAT 2013 Problem 15

The cookies in a cookie jar contain a total of 100 raisins. All but one of the cookies are the same size and contain the same number of raisins. One cookie is larger and contains one more raisin than each of the others. The number of cookies in the jar is between 5 and 10, inclusive. How many raisins are in the larger cookie?

Answer Choices
A. 10
B. 11
C. 20
D. 17
E. 12