Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. 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

Respuesta :

$2.49 -------------------100 %
$1.99 ------------------- x %
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2.49 : 1.99 = 100 : x
x = ( 1.99 * 100 ) / 2.49 = 79.9 %
100 % - 79.9 % = 21.1 % ( Decrease )
$1.99 -------------------- 100 %
$2.49 -------------------- x %
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1.99 : 2.49 = 100 : x
x = ( 2.49 * 100 ) / 1.99 = 125.1 %
125.1 % - 100 % = 25.1 % ( Increase )
The percents of change are not the same.
The greater change is during the increase of price ( 25.1 % > 21.1 % ).