Question

In a mixture $60$ litres, the ratio of milk and water $2:1$. If this ratio is to be $1:2$, then the quanity of water to be further added is

Answer 1

Quantity of milk $=(60\times \frac{2}{3})$ litres $=40$ litres

Quantity of water in it $=(60-40)$ litres $=20$ litres

New ratio $=1:2$

Let the quantity of water to be added further be x litres

Then milk : water $=\left(\frac{40}{20+x}\right)$

Now, $\left(\frac{40}{20+x}\right)=\frac{1}{2}$

=> $20+x=80$

=> $x=60$

$\therefore$ Quantity of water to be added $=60$ litres