We have to divided a sum of Rs. 13950 among three persons A, B and C. B must get the double of A's share and C must get Rs. 50 less than the double of B's share. The share of A will be ?

A. Rs. 1950

B. Rs. 1981.25

C. Rs. 2000

D. Rs. 2007.75

Answer: Option C

Solution(By Examveda Team)

Lert the share of A = Rs. x
According to the question,
$$\eqalign{ & {\text{A}}:{\text{B}}:{\text{C}} \cr & {\text{Capital}} \to x:2x:\left( {4x - 50} \right) \cr & \Rightarrow \left( {x + 2x + 4x - 50} \right) = 13950 \cr & \Rightarrow 7x - 50 = 13950 \cr & \Rightarrow 7x = 14000 \cr & \Rightarrow x = 2000 \cr & {\text{Share of A}} = {\text{Rs}}{\text{. 2000}} \cr} $$