Dustin bought a DVD player that was marked down from $150 to $100. A video game console was $250 and marked down by $75. Which device has the GREATEST PERSENT DECREASE.

Respuesta :

Answer:

It would be the game console

Step-by-step explanation:

The DVD player went down $50 the console went down about $100 and that is a better idea

DVD player have greatest percentage decrease that is 33.33% compared to Video game console having percentage decrease of 30%.

Solution:

Marked price of DVD player = $150

After discount, price of DVD player = $100

Marked price of Video game console =$250

After it is marked down by $75, discount price of videogame = $250 - $75 = $175

Need to determine which device has greater percentage decrease.

[tex]\text { Percentage decrease of D.V.D player }=\frac{\text {Marked Price-discount price}}{\text { marked price }} \times 100[/tex]

[tex]\begin{array}{l}{=\frac{150-100}{150} \times 100} \\\\ {=\frac{50}{150} \times 100=33.33 \%}\end{array}[/tex]

[tex]\text { Percentage decrease of Video game console }=\frac{\text {Marked Price-discount price}}{\text { marked price }} \times 100[/tex]

[tex]\begin{array}{l}{=\frac{250-175}{250} \times 100} \\\\ {=\frac{75}{250} \times 100=30 \%}\end{array}[/tex]

Hence DVD player have greatest percentage decrease that is 33.33% compared to Video game console having percentage decrease of 30%.