Solution:Let A's initial investment be Rs. x and that of B be Rs. y.
According to the question,
x+300+300+300=y+200+ 200+200
⇒ x+900=y+600
⇒ x+300=y …(i)
Again
Ratio of the equivalent capitals of A and B for 1 month
=X×12+300×9+300×6+300×3: (x+300)×12+200×9+200×6+200×3
=12x+2700+1800+900 :12x+3600+1800+1200+600
=12x+5400:12x+7200
=x+450:x+600

⇒ 6x+2700=5x+3000
⇒ 6x−5x=3000−2700
⇒ x=Rs. 300 11