Question

A total amount of $Rs.1560$ is to be divided among $A,B,$ and $C$ such that $A$ gets $50\%$ of what $B$ gets and $B$ gets $20\%$ of what $C$ gets how much will earn of them get?

Answer 1

Let $C$ gets $Rs.x$

Then, $B$ gets = $\frac{20}{100}\times x=\frac{x}{5}Rs.$

Then, $A$ gets $=\frac{50}{100}\times \frac{x}{5}=\frac{x}{10}Rs.$

Therefore,

$x+\frac{x}{5}+\frac{x}{10}=\frac{10+2+1}{10}xRs.=Rs.1560$

$\frac{13x}{10}=1560$

$13x=15600$

$x=1200Rs.$

Hence, $C$ gets $Rs.1200.$

$B$ gets $Rs.240.$

And, $A$ gets $Rs.120.$