You are shopping for a video game system.Store A has a weekend sale. To the nearest hundredth of a percent, what discount must Store A offer for you to buy the system there?

Answer:11.82%Step-by-step explanation:We are given that Cost to store A=4162Cost to store=$155Cost to store C=$160Markup for store A=40%Markup for store B=30%Markup for store C=25%Markup price=Cost price\times (100+markup)Markup price for store A=[tex]162\times (100+0.4)=[/tex]$226.80Markup price for store B=[tex]155\times 1.3[/tex]=$201.50Markup price for store C=[tex]160\times 1.25=[/tex]$200So, the best deal is store C.If we purchased from  store A then the price should be less than store C.It means the price of store A should be less than $200 that is $199.99.Discount=226.80-199.99=$26.81Discount %=[tex]\frac{26.81}{226.80}\times 100=11.82[/tex]Hence, the store A  must offer discount 11.82% to buy the system there.