Question

The price of a video game increases by 20%, then decreases by 10%. If the final price is $46.98,

Answer 1

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

$100\%+20\%=120\%=120/100=1.20$

The final price is equal to the original price multiplied by 1.20

so

$1.20x$

2) The price of a video game decreases by 10%

so

$100\%-10\%=90\%=90/100=0.90$

The final price is equal to the price at this moment multiplied by 0.90

so

$0.90(1.20x)=1.08x$

we have that

$1.08x=46.98$

solve for x

$x=46.98/1.08\\x=\ 43.50$