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.
Answer & explanation
Correct answer: option 4
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