The initial price of the video game was %55.
Given that a discount of 15% is offered, so the price becomes,
[tex]\begin{gathered} P_1=(1-\frac{15}{100})\times\text{ 55} \\ P_1=\frac{85}{100}\times55 \\ P_1=46.75 \end{gathered}[/tex]Consider that a further discount of 20% is offered, then the final price will become,
[tex]\begin{gathered} P_2=(1-\frac{20}{100})\times P_1 \\ P_2=(\frac{80}{100})\times46.75 \\ P_2=37.4 \end{gathered}[/tex]Thus, the current price for the video game is $37.4