The original price of a computer was $1,250. At a year-end sale, the selling price of the computer was $900. What is the percent discount?

1 Answer
Jan 24, 2018

See a solution process below:

Explanation:

The formula for calculating the sales price of an item is:

#s = p - (p * d)#

Where:

#s# is the sales price: $900 for this problem.

#p# is the original price: #$1250# for this problem.

#d# is the percent discount: what we are solving for in this problem.

Substituting and solving for #d# gives:

#$900 = $1250 - ($1250 * d)#

#$900 - color(red)($1250) = $1250 - color(red)($1250) - ($1250 * d)#

#-$350 = 0 - ($1250 * d)#

#-$350 = -$1250d#

#(-$350)/color(red)(-$1250) = (-$1250d)/color(red)(-$1250)#

#(-$350)/color(red)(-$1250) = (color(red)(cancel(color(black)(-$1250)))d)/cancel(color(red)(-$1250))#

#0.28 = d#

The discount was #0.28 = 28/100 = 28%#