If the radius of the earth becomes twice its original radius without change in its mass, what will happen to your weight?

Question

$\begin{array}{1 1} (a)\ \text{weight will be increased by 2 times } \\ (b)\; \text{weight will be reduced by 4 times } \\ (c)\; \text{weight will be increased by $\frac{1}{4}$ times} \\ (d)\; \text{weight will be reduced by $\frac{1}{4}$ times } \end{array}$