Which is soluble both in water and acetone?

In acetone, C=O. group easily forms H-bonds with water and hence acetone is highly soluble in water.

In case of $\mathrm{LiCI}$, the hydration energy is higher than the lattice energy.  Hence, $\mathrm{LiCI}$ is water soluble. Due to higher polarization, $\mathrm{LiCI}$ has some covalent character.

Hence, it is soluble in non-polar solvents such as acetone.