Ronald made periodic deposits into a savings account at the end of every month for $5$ years. The investments were earning $5\mathrm{.}40\%$ compounded quarterly and grew to $$10,125\mathrm{.}00$ at the end of $5$ years. Calculate the size of the month$-$end deposits.

Question $10$ options:

$$150\mathrm{.}31$

$$110\mathrm{.}61$

$$147\mathrm{.}46$

$$144\mathrm{.}70$