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 14400 and C received 2500. Find the share of B.

4500 7000 4800 6000

6000

Let   A   :  B  = x : y then, B  :  C  = x : y    ..... (ATQ) Now, A : B : C = x2 : xy : y2  ATQ, ⇒ x2 = 14400 ⇒  x = 120, and ⇒ y2 = 2500 ⇒  y = 50 Therefore, B's share = xy = 120 ×50 = 6000