Question

Divide Rs. $7000$ among $A,B,C$ such that $A$ gets $50$% of what $B$ get $50$% of what $C$ get.Find the share of each person?

Answer 1

Let $C=x$

$B=\frac{x}{2}$

$A=\frac{1}{2}\times B$

$A=\frac{1}{2}\times \frac{x}{2}=\frac{x}{4}$

$A+B+C=700$

$x+\frac{x}{2}+\frac{x}{4}=700$

$\frac{7x}{4}=700$

$\frac{x}{4}=100$

$x=400=C$

$B=\frac{x}{2}=200$

$A=\frac{x}{4}=100$

The shares are $100Rs,200Rs,400Rs$