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.
![\text { Percentage decrease of D.V.D player }=\frac{\text {Marked Price-discount price}}{\text { marked price }} * 100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3fnk3l4kl0lta0pie7tea0nkw9avlu07lx.png)
![\begin{array}{l}{=(150-100)/(150) * 100} \\\\ {=(50)/(150) * 100=33.33 \%}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7scd31ofs1ij1p2a88eajmydlrvww8a2zq.png)
![\text { Percentage decrease of Video game console }=\frac{\text {Marked Price-discount price}}{\text { marked price }} * 100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ydii8ufid683l09h60r2t2256fcqak9e51.png)
![\begin{array}{l}{=(250-175)/(250) * 100} \\\\ {=(75)/(250) * 100=30 \%}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5fgs8j3swda9sylcoekmqmakkigg6r0qfy.png)
Hence DVD player have greatest percentage decrease that is 33.33% compared to Video game console having percentage decrease of 30%.