Liquid $A$ rises to a height of $10 \mathrm{cm}$ in a capillary tube and liquid $B$ falls to a depth of $2 \mathrm{cm}$ in the same tube. The density of $A$ and $B$ are $1 \mathrm{g}/{\mathrm{cm}}^3$ and $10 \mathrm{g}/{\mathrm{cm}}^3$ respectively. The contact angle of $A$ and $B$ with the tube is $0°$ and $135°$ respectively. If the surface tension of $A$ and $B$ are $S_A$ and $S_B$ then the ratio $\frac{S_B}{S_A}$ is