AHSME 1996 Problem 14

Let $E(n)$ denote the sum of the even digits of $n$. For example, $E(5681) = 6+8 = 14$. Find $E(1)+E(2)+E(3)+\cdots+E(100)$ $\text{(A)}\ 200 \text{(B)}\ 360 \text{(C)}\ 400 \text{(D)}\ 900 \text{(E)}\ 2250$