Question

Divide $Rs.225$ among $A,B$ and $C$ in the ratio $2:3:4$.

Answer 1

Let three parts: x, y, z

Then, fractions:-

$x\to \frac{2}{2+3+4}=\frac{2}{9}$th

$y\to \frac{3}{9}$th

$z\to \frac{4}{9}$th

Now, let $\alpha$ be the part.

then,

$\frac{2\alpha }{9}+\frac{3\alpha }{9}+\frac{4\alpha }{9}=225$

$\alpha =225$

$\therefore x=\frac{2}{9}\times 225=50$,

$y=\frac{3}{9}\times 225=75$,

$z=\frac{4\alpha }{9}=100$.