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A store has clearance items that have been marked down by 60%. They are having a sale, advertising an additional 15% off clearance items. What percent of the original price do you end up paying?

Respuesta :

Answer: 34%

Step-by-step explanation:

Given

Price is marked down by 60% with an additional discount of 15% on the marked down price

Suppose x is the original price of the item

After marking down, it is

[tex]\Rightarrow x-x\times 0.6=0.4x[/tex]

after additional discount it is

[tex]\Rightarrow 0.4x(1-0.15)=0.4x\times 0.85=0.34x[/tex]

Effective discount on the item is

[tex]\Rightarrow \dfrac{x-0.34x}{x}\times 100=66\%[/tex]

Thus, a person is paying [tex]100-66=34\%[/tex] of the original price

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