(2) Let the purchase price of commodity A be X yuan and that of commodity B be Y yuan.
From the meaning of the question: x( 1+25%)=a,
x=a,
x= a,
y( 1-20%)=a,
y=a,
y= a,
That is 2a-( a+ a)=2a- a=- a,
Lose one yuan.
(3) There are five A's and two B's, (the answer is not unique, it satisfies 5n A's and 4n-2 B's, and n is a positive integer. )