Question

Alexis and Trinity run two stores. On the first day Alexis puts everything on sale in her store by 25.0% while Trinity marks down all prices in her store by 20%. On the second day Alexis takes an additional 1/3 off all her prices. By what fraction must Trinity mark down all prices in her store, so that the overall price decreases in both stores are the same?

Answer 1

The fraction that Trinity must mark down all prices in her store so that the overall price decreases in both stores are the same is 3/8, 0.375, or 37.5%

What is a markdown?

A markdown is a price reduction strategy used by retailers to attract customers to their stores.

A markdown reduces the profit margin.

Data and Calculations:

Alexis:

First day's price reduction = 25%

Reduced price after the first markdown = 75% (1 - 25%)

The second day's price reduction = 1/3 or 33.33%

Reduced price after the second markdown = 50% (75% x (1 - 33.33%)

Trinity:

First day's price reduction = 20%

Reduced price after the first markdown = 80% (1 - 20%)

Reduced price after the second markdown = 50% like Alexis' (80% x 50%/80%)

50%/80% = 62.5% or 0.625

Therefore, the second day's price reduction must be 3/8, 0.375, or 37.5% (1 - 0.625).

Thus, the fraction that Trinity must mark down all prices in her store so that the overall price decreases in both stores are the same is 3/8

Learn more about markdowns at brainly.com/question/27807633

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