A, B, and C started a business with investments of Rs 4000, Rs 6000, and Rs X. After 1 year the profit share of B is Rs 2400 out of a total profit of Rs 7200. Find X.

Correct option is D

The profit-sharing ratio of A, B and C = 4000×12 :6000×12 :X×12
= 4000 : 6000 : X
ATQ,
$$\frac{6000}{4000 + 6000 + X} = \frac{2400}{7200}$$​

$$\frac{6000}{10000 + X} = \frac{1}{3}$$​
18000 = 10000 + X
8000 = X