Penni Precisely buys $100 worth of stock in each of three companies: Alabama Almonds, Boston Beans, and California Cauliflower.  After one year, AA was up 20%, BB was down 25%, and CC was unchanged.  For the second year, AA was down 20% from the previous year, BB was up 25% from the previous year, and CC was unchanged.  If A, B, and C are the final values of the stock, then
$\text{(A)}\ A=B=C \qquad \text{(B)}\ A=B<C \qquad \text{(C)}\ C<B=A$
$\text{(D)}\ A<B<C \qquad \text{(E)}\ B<A<C$
AA is $100 \cdot 120\% = 100\cdot 1.2 = 120$ after one year.  After the second year, AA is $120\cdot 0.8 = 96$.
BB is $100 \cdot 75\% = 100\cdot 0.75 = 75$ after one year.  After the second year, BB is $75\cdot 1.25 = 93.75$
CC remains unchanged throughout, and stays at $100$.
Thus, $B < A < C$, and the right answer is $\boxed{E}$