Jill earns a yearly salary of $40,000 plus 15% commission on total sales. Shonda earns a $55,000 yearly salary plus 10% commission on total sales. If Jill and Shonda each have sales of $750,000, how much more total income does Jill earn for the year?

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Answer 1 · 2016-12-08T03:12:24

Jill earned $22,500 more total income for the year.

The formula for total income is:

#T = b + r*s# where #T# is the total income, #b# is the base salary, #r# is the commission rate and #s# is the sales.

Remember, x% can be written as #x/100#.

First, let's calculate Jill's total income and call it #J#:

#J = $40,000 + 15/100*$750,000#

#J = $40,000 + 15*$7,500#

#J = $40,000 + $112,500#

#J = $152,500#

Then we can also calculate Shonda's total income and call it #S#:

#S = $55,000 + 10/100*$750,000#

#S = $55,000 + 10*$7,500#

#S = $55,000 + $75,000#

#S = $130,000#

To find out how much more Jill made we need to calculate #J - S#

#J - S = $152,500 - $130,000 = $22,500#