Question

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 1

11.82%

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=
`162* (100+0.4)=`$226.80

Markup price for store B=
`155* 1.3`=$201.50

Markup price for store C=
`160* 1.25=`$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 %=
`(26.81)/(226.80)* 100=11.82`

Hence, the store A must offer discount 11.82% to buy the system there.