In each of the following questions, you are asked to compare two options with parameters as given. The risk$-$free interest rate for all cases should be assumed to be $6\%.$ Assume the stocks on which these options are written pay no dividends. $(\frac{?}{{?}_S}16-1)$

$\backslash$table$[[$Put$,T,x,,$Price of Put$],[$A$,0\mathrm{.}5,50,0\mathrm{.}20,10],[$B$,0\mathrm{.}5,50,0\mathrm{.}25,10]]$

Which put option is written on the stock with the lower price?

$(1)$ A

$(2)$ B

$(3)$ Not enough information