In a business, A and B gained some amount in a certain ratio, and B and C received the profit in the ratio as that of A and B. If A received 3600 and C received 6400 . Find the share of B.

6400 5400 4800 5600

4800

Let   A   :  B  = x : y then, B  :  C  = x : y    ..... (ATQ) Now, A : B : C = x2 : xy : y2  ATQ, ⇒ x2 = 3600 ⇒  x = 60, and ⇒ y2 = 6400 ⇒  y = 80 Therefore, B's share = xy = 60 × 80 = 4800