Downie Foods recently completed a $4-$for$-1$ stock split. Prior to the split, its stock sold for $$135$ per share. If the firm's total market value increased by $5\%$ as a result of increased liquidity caused by the split, what was the stock price following the split?

Select the correct answer.

a$.$ $$35\mathrm{.}44$

b$.$ $$32\mathrm{.}17$

c$.$ $$33\mathrm{.}26$

d$.$ $$31\mathrm{.}08$

e$.$ $$34\mathrm{.}35$