If the units of length, mass and time are doubled, the unit of force will be

We know unit of force=$$\begin{gathered} Kgm{s}^{-2} \\ Now units of mass, length \& time are doubled \\ K{g}^I=2kg,m^I=2m,S^I=2S \\ Then new unit of force \\ =K{g}^I{m}^I{\left(s^I\right)}^{-2} =\left(2kg\right)\left(2m\right)\left(2s^{-2}\right) \\ =4Kgm\frac{1}{4}{s}^{-2} \\ \Rightarrow K{g}^I{m}^I{\left(s^I\right)}^{-2}=Kgm{s}^{-2} \\ So unit of force will be unchanged \end{gathered}$$