Question

The ratio of rupee of Thin and Minu is $2:5$. If both have $RS50$ more, then ratio is $4:7$. How much rupee will both have?

Answer 1

Suppose Thin has $xRs$ & Mine has $yRs$

$\frac{x}{y}=\frac{2}{5}---\left(1\right)$ or $5x=2y---\left(1\right)$Second coordinate. $\frac{x+50}{y+50}=\frac{4}{7}\Rightarrow 7x-4y=-330---\left(2\right)$

Putting in $\left(2\right),7x-2\left(5x\right)=-330\Rightarrow 7x-10x=-330$

$y=\frac{5x}{2}=\frac{5\times 110}{2}=270$

So, $[\begin{array}{c}x=110Rs\\ y=270Rs\end{array}$