Question

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.

Answer 1

Percent of decrease
`=8.9\%`

Percent of increase
`=9.8\%`

Increase percent
`>` decrease percent

Explanation:

Decreasing :

Initial price
`=\$5.59`

Decreased price
`\$5.09`

Total decrease
`=5.59-5.09`

`=\$0.50`

Percentage decrease
`=(Total\ decrease)/(Intitial\ price)*100`

`=(0.50)/(5.59)*100\\\\=8.94\approx8.9\%`

Increasing :

Initial price
`=\$5.09`

Increased price
`=\$5.59`

total increase
`=5.59-5.09`

`=0.50`

Percentage increase
`=(total\ increase)/(initial price)*100`

`=(0.50)/(5.09)*100\\\\=9.82\approx9.8\%`