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 8100 and C received 2500. Find the share of B.

2400 1600 3600 4500

4500

Let   A   :  B  = x : y then, B  :  C  = x : y    ..... (ATQ) Now, A : B : C = x2 : xy : y2  ATQ, ⇒ x2 = 8100 ⇒  x = 90, and ⇒ y2 = 2500 ⇒  y = 50 Therefore, B's share = xy = 90 × 50 = 4500