Answer:
The original price was $43.50
Step-by-step explanation:
Let
x ----> the original price of a video game
we know that
1) The price of a video game increases by 20%
so
[tex]100\%+20\%=120\%=120/100=1.20[/tex]
The final price is equal to the original price multiplied by 1.20
so
[tex]1.20x[/tex]
2) The price of a video game decreases by 10%
so
[tex]100\%-10\%=90\%=90/100=0.90[/tex]
The final price is equal to the price at this moment multiplied by 0.90
so
[tex]0.90(1.20x)=1.08x[/tex]
we have that
[tex]1.08x=46.98[/tex]
solve for x
[tex]x=46.98/1.08\\x=\$43.50[/tex]
