Walgreens is offered a chain discount on cosmetics from Libby Corp. of 8/5/2; Roma Company offers a chain discount of 7/6/4. What is the highest discount offered?

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Answer:

The highest discount offered by Roma Company.

Step-by-step explanation:

Let the cosmetics marked price be 100.

It is given that Walgreens is offered a chain discount on cosmetics from Libby Corp. of 8%, 5%, 2%.

The selling price of cosmetics after chain discount is

[tex]100(1-\frac{8}{100})(1-\frac{5}{100})(1-\frac{2}{100})=85.652[/tex]

Discount = Marked price - Selling price

[tex]Discount=100-85.652=14.348[/tex]

The total discount percentage in Walgreens is 14.348%.

It is given that Roma Company is offered a chain discount on cosmetics of 7%, 6%, 4%.

The selling price of cosmetics after chain discount is

[tex]100(1-\frac{7}{100})(1-\frac{6}{100})(1-\frac{4}{100})=83.9232[/tex]

Discount = Marked price - Selling price

[tex]Discount=100-83.9232=16.0768[/tex]

The total discount percentage in Roma Company is 16.0768%.

Since 16.0768% > 14.348%, therefore the highest discount offered by Roma Company.