Bruce does have enough money to buy the video game.
x/42 = 30/100
x=12.60 - This is the amount of money the video game is without tax
x/12.60 = 5/100
x=0.63 - sales tax amount
0.63+12.60=13.23 - amount of video game with tax
For this case we have the following quadratic equation:

Dividing by 3 to both sides of the equation we have:

We take common factor "x" from the left side of the equation:

Thus, the values of "x" that satisfy equality are:

Answer:
The solutions are:

Cost to buy 1235.55 x 73.5 = 90,812.93
earned from selling 1376.44 x 73.5 = 101,168.34
101,168.34 - 90,812.93 = 10,355.41 in profit
Two significant figures.
The trailing zero is not significant