Grady marks down some $4.59 pens to $4.09 for a week and then marks them back up to $4.59. 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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Limosa Limosa · Answer 1 · 2018-10-16T10:56:52+02:00

Answer:

Percentage decrease ( from $4.09 to $3.59) is 0.1% ( Rounded to nearest tenth)

Percentage increase (from $3.59 to 4.09) is 0.1% ( Rounded to nearest tenth)

Percentages are not same for the both price changes. As we can see from the calculations percentage change from $3.59 to $4.09 is higher.

Step-by-step explanation:

$4.59 has been changed to $4.09.

Percent change = [(Value after - Value before) / Value before]*100

=[tex]\frac{4.09-4.59}{4.59}*100[/tex]%

=[tex]\frac{-0.5}{4.59}*100[/tex]%

=[tex]-0.108932[/tex]%

=[tex]-0.1[/tex]% ( Rounded to nearest tenth)

Percentage decrease is 0.1% ( Rounded to nearest tenth)

Now lets calculate the percentage change from $3.59 to $4.09.

Percent change = [(Value after - Value before) / Value before]*100

=[tex]\frac{4.59-4.09}{4.09}*100[/tex]%

=[tex]\frac{0.5}{4.09}*100[/tex]%

=[tex]0.122249[/tex]%

=[tex]0.1[/tex]% ( Rounded to nearest tenth)

Percentage increase is 0.1% ( Rounded to nearest tenth)

Percentages are not same for the both price changes. As we can see from the calculations percentage change from $3.59 to $4.09 is higher.