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 2500 and C received 900. Find the share of B.

1200 1500 2500 2000

1500

Let   A   :  B  = x : y then, B  :  C  = x : y    ..... (ATQ) Now, A : B : C = x2 : xy : y2  ATQ, ⇒ x2 = 2500 ⇒  x = 50, and ⇒ y2 = 900 ⇒  y = 30 Therefore, B's share = xy = 50 × 30 = 1500