Your organisation uses the continuous weighted average cost method of valuing inventory. During August$20$X$1,$ the following inventory details were recorded:

Opening balance $30$ units valued at $$2$ each

$5$ August Purchase of $50$ units at $$2\mathrm{.}40$ each

$10$ August Issue of $40$ units

$18$ August Purchase of $60$ units at $$2\mathrm{.}50$ each

$23$ August Issue of $25$ units

What is the value of the inventory balance at $31$ August $20$X$1?$

$$187\mathrm{.}50$

$$172\mathrm{.}5$

$$180\mathrm{.}00$

$$176\mathrm{.}25$