Resistance of the part \\\\(AC\\\\)\\\\(R_{AC}=0.1 \ imes 40= 4 \\Omega \\\\) and \\\\(R_{CB}=0.1 \ imes 60= 6 \\Omega \\\\)In balanced condition \\\\(\\dfrac{X}{6}=\\dfrac{4}{6} \\Rightarrow X=4 \\Omega\\\\)Equivalent resistance \\\\(R_{eq}=5 \\Omega\\\\) so current drawn from battery \\\\(i=\\dfrac{5}{5}=1\\ A\\\\)