A and B together have Rs. 1210. If $$\frac{4}{{15}}$$ of A's amount is equal to $$\frac{2}{{5}}$$ of B's amount, how much amount does B have?

A. Rs. 460

B. Rs. 484

C. Rs. 550

D. Rs. 664

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & \frac{4}{{15}}A = \frac{2}{5}B \cr & \Rightarrow A = \left( {\frac{2}{5} \times \frac{{15}}{4}} \right)B \cr & \Rightarrow A = \frac{3}{2}B \cr & \Rightarrow \frac{A}{B} = \frac{3}{2} \cr & \Rightarrow A:B = 3:2. \cr & \therefore {\text{B's}}\,{\text{share}} = Rs.\left( {1210 \times \frac{2}{5}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,484 \cr} $$