A solid body floating in water has `(1)/(5^(th))` of its volume immersed in it. What fraction of its volume will be immersed, if it floats in a liquid of specific gravity 1.2 ?

Explanation

To solve the problem step by step, we will analyze the forces acting on the solid body when it is floating in both water and a liquid of specific gravity 1.2.

### Step 1: Understand the scenario in water
When the solid body is floating in water, it has a certain volume immersed. We are given that \( \frac{1}{5} \) of its volume \( V \) is immersed in water.

### Step 2: Apply the principle of buoyancy
According to Archimedes' principle, the weight of the solid body is equal to the weight of the water displaced by the immersed volume of the solid body.

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