Question

A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?

• A. 460
• B. 484
• C. 550
• D. 664

Answer 1

The correct option is B 484

Since,

$\begin{array}{c}\frac{4}{15}A=\frac{2}{5}B\\ \Rightarrow A=\left(\frac{2}{5}\times \frac{15}{4}\right)B\\ \Rightarrow A=\frac{3}{2}B\\ \Rightarrow A=\frac{3}{2}B\\ \Rightarrow \frac{A}{B}=\frac{3}{2}\\ \Rightarrow A:B=3:2\\ \therefore B^{\prime }sshare=Rs\left(1210\times \frac{2}{5}\right)=Rs.484.\end{array}$

Hence, this is the answer.