SOLUTION: if my current sales for the year is $175,000 and I need 35% to cover my overhead and expenses....If I want to increase my gross profit dollars by $20,000 how much do I have to incr

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: if my current sales for the year is $175,000 and I need 35% to cover my overhead and expenses....If I want to increase my gross profit dollars by $20,000 how much do I have to incr      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 540867: if my current sales for the year is $175,000 and I need 35% to cover my overhead and expenses....If I want to increase my gross profit dollars by $20,000 how much do I have to increase my sales by?
Answer by jpg7n16(66) About Me  (Show Source):
You can put this solution on YOUR website!
Per the question, here's what we know. Essentially, every dollar of sales (let's call that "S") can be broken into 2 parts: the amount it cost to make (let's call that "C") and the amount of profit made (let's call this one "P"). Turn that into an equation:
s=c%2Bp or for each $1 of sales 1=c%2Bp
Since the problem tells you the cost is $0.35 of every dollar, all you really need to do is plug in .35 for C
1=.35%2Bp
p=1-.35=.65
So we know that $0.65 of every dollar of sales is profit. How do you express that as an equation?
p=0.65%2As
The question is asking, what amount of sales (S) will give you a profit (P) of $20,000. So plug what you know into this equation, and solve for sales (S):
p=0.65%2As
20000=0.65%2As
s=20000%2F.65=30769.23
Therefore, if 35% of your sales cover your expenses, you would need $30,769.23 of sales to earn $20,000 profit.
That's the long explained version. The short easy version for next time - just take the profit you need, and divide by the profit percentage.
SalesNeeded=%28DesiredProfit%29%2F%28ProfitPercentage%29