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Grady marks down some $5.59 pens to $5.09 for a week and then marks them back up to $5.59. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percents of change the same for both price changes? If not, which is a greater change? Complete the explanation, and round your percents to the nearest tenth.

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sam4040

Answer:

Percent of decrease [tex]=8.9\%[/tex]

Percent of increase [tex]=9.8\%[/tex]

Increase percent [tex]>[/tex] decrease percent

Step-by-step explanation:

Decreasing :  

Initial price[tex]=\$5.59[/tex]

Decreased price [tex]\$5.09[/tex]

Total decrease [tex]=5.59-5.09[/tex]

[tex]=\$0.50[/tex]

Percentage decrease [tex]=\frac{Total\ decrease}{Intitial\ price}\times100[/tex]

[tex]=\frac{0.50}{5.59}\times100\\\\=8.94\approx8.9\%[/tex]

Increasing :

Initial price [tex]=\$5.09[/tex]

Increased price [tex]=\$5.59[/tex]

total increase [tex]=5.59-5.09[/tex]

[tex]=0.50[/tex]

Percentage increase [tex]=\frac{total\ increase}{initial price}\times100[/tex]

[tex]=\frac{0.50}{5.09}\times100\\\\=9.82\approx9.8\%[/tex]

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