Global Stock Index is a value weighted index with just $2$ stocks in the index:

ABC stock and XYZ stock. ABC ended $2020$ at a price of $$48$ and had $1\mathrm{.}5$ million shares outstanding. XYZ stock ended $2020$ at a price of $$27$ and had $4\mathrm{.}0$ million shares outstanding.

ABC ended $2021$ at a price of $$32($after a $2-$for$-1$ split$).$ XYZ stock closed at $$22$ for $2021$ and had the same number of shares as $2020.$

What is the index value in $2021(2020$ base index $-100)?$

Question $16$ options:

$97\mathrm{.}83$

Cannot be determined from the information given

$102\mathrm{.}22$

$75\mathrm{.}56$