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 6400 and C received 10000. Find the share of B.

2000 4000 8000 10000

8000

Let   A   :  B  = x : y then, B  :  C  = x : y    .....ATQ Now, A : B : c = x2 : xy : y2  ATQ, ⇒ x2 = 6400 ⇒  x = 80, and ⇒ y2 = 10000 ⇒  y = 100 Therefore, B's share = xy = 80 × 100 = 8000