SOLUTION: A local salesman receives a base salary of $625 monthly. He also receives a commission of 8% on all sales over $1550. How much would he have to sell in a month if he needed to have

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Question 1126984: A local salesman receives a base salary of $625 monthly. He also receives a commission of 8% on all sales over $1550. How much would he have to sell in a month if he needed to have a monthly income of $1900?
Found 4 solutions by rfer, Boreal, MathTherapy, ikleyn:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
(1900-625)/0.08+1550=$17,487.50

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
He needs to make $1275 more and $1275 is 8% of what he needs to sell
1275/0.08=$15,937.50

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A local salesman receives a base salary of $625 monthly. He also receives a commission of 8% on all sales over $1550. How much would he have to sell in a month if he needed to have a monthly income of $1900? 
Boreal is WRONG! The answer is NOT $15,937.50!

Ignore her/his response.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = "How much would he have to sell in a month".


Then your equation is 


    (x-1550)*0.08 + 625 = 1900   dollars.


Simplify and solve for x:


    0.08X - 0.08*1550 + 625 = 1900

    0.08x = 1900 - 625 + 0.08*1550

    x = %281900+-+625+%2B+0.08%2A1550%29%2F0.08 = (one click MS Excel) = 17487.50.


Answer.  He has to cell on $17487.50 in a month.

Check.   (17487.50-1550)*0.08 + 625 = 1900 dollars.   ! Correct !

Simple as a cucumber.