Rs. 900 is divided among A, B, C the division is such that $$\frac{1}{2}$$ of A's money = $$\frac{1}{3}$$ of B's money = $$\frac{1}{4}$$ of C's money. Find the amount ( in rupees) received by A, B, C = ?

A. 300, 400, 200

B. 350, 450, 100

C. 200, 300, 400

D. 400, 150, 350

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \Rightarrow \frac{1}{2}{\text{A}} = \frac{1}{3}{\text{B}} = \frac{1}{4}{\text{C}} \cr & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} \cr & \,\,\,\,\,\,\,\,2\,\,:3:4{\text{ }} \cr & 2x + 3x + 4x = 900 \cr & \Rightarrow 9x = 900 \cr & \Rightarrow x = 100 \cr & {\text{A}} = 200 \cr & {\text{B}} = 300 \cr & {\text{C}} = 400 \cr} $$