If Rs. 126.50 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by = ?

A. Rs. 36.50

B. Rs. 35.50

C. Rs. 34.50

D. Rs. 33.50

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} \cr & \,\,\,\,\,\,\,\,\,2:5:4{\text{ }} \cr & 2x + 5x + 4x = 11x \cr & \Rightarrow 11x = {\text{Rs}}.126.50 \cr & \Rightarrow x = {\text{Rs}}{\text{.11}}{\text{.50}} \cr & \Rightarrow {\text{Share of B}} = 5x \cr & \Rightarrow {\text{Share of A}} = 2x \cr & \therefore {\text{Share of (B}} - {\text{A)}} = 3x \cr & \Rightarrow 3 \times 11.50 = {\text{Rs}}. 34.50 \cr} $$