Question

A and B together have ₹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. ₹450
• B. ₹484
• C. ₹560
• D. ₹654

Answer 1

The correct option is B ₹484

$\Rightarrow \frac{4}{15}A=\frac{2}{5}B$

$\Rightarrow A=\frac{2}{5}\times \frac{15}{4}B$

$\Rightarrow A=\frac{3}{2}B$

$\Rightarrow \frac{A}{B}=\frac{3}{2}$

$\Rightarrow A:B=3:2$

Let A's share be ₹3x and B's share be ₹2x

$\Rightarrow 5x=1210$

$\Rightarrow x=\frac{1210}{5}$

$\Rightarrow x=242$

$\therefore \text{B's share}=2x=2\times 242=₹484$