Question 45

A vessel is fully filled with a special liquid. Four litres of liquid is drawn out of this vessel and is replaced with water. If the ratio of the special liquid to the water becomes 1 : 2, then what is the capacity of the vessel?

Solution

Let capacity of vessel be $$x$$ litres

Now, special liquid in the vessel = $$(x-4)$$ litres and water = $$4$$ litres

=> Ratio = $$\frac{x-4}{4}=\frac{1}{2}$$

=> $$x-4=2$$

=> $$x=6$$

$$\therefore$$ Capacity of vessel = 6 litres

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