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

Answer:

Percent of decrease $=8.9\%$

Percent of increase $=9.8\%$

Increase percent $>$ decrease percent

Step-by-step explanation:

Decreasing :  

Initial price$=\ 5.59$

Decreased price $\ 5.09$

Total decrease $=5.59-5.09$

$=\ 0.50$

Percentage decrease $=\frac{Total\ decrease}{Intitial\ price}\times100$

$=\frac{0.50}{5.59}\times100\\\\=8.94\approx8.9\%$

Increasing :

Initial price $=\ 5.09$

Increased price $=\ 5.59$

total increase $=5.59-5.09$

$=0.50$

Percentage increase $=\frac{total\ increase}{initial price}\times100$

$=\frac{0.50}{5.09}\times100\\\\=9.82\approx9.8\%$