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?

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 sy class=

Respuesta :

Answer:

11.82%

Step-by-step explanation:

We are given that

Cost to store A=4162

Cost to store=$155

Cost to store C=$160

Markup 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]$226.80

Markup price for store B=[tex]155\times 1.3[/tex]=$201.50

Markup price for store C=[tex]160\times 1.25=[/tex]$200

So, 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=$26.81

Discount %=[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.