SOLUTION: Mr. Sarmiento recieves a commission of 4% for the first 15000 sales, 6% on the next 15000 and 10% on sales in excess of 30000. if his total sales for the month is 75000, how much d

Question 895340: Mr. Sarmiento recieves a commission of 4% for the first 15000 sales, 6% on the next 15000 and 10% on sales in excess of 30000. if his total sales for the month is 75000, how much did he earn for the month?
Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
15000*0.04=$600
15000*0.06=$900
45000*0.10=$4500
total $6000
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
75,000 is over 15,000

So you take 4% of the first 15,000 in sales to get

4% of 15,000 = 0.04*15,000 = 600

So far, he's earned $600 toward his monthly paycheck.

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75,000 - 15,000 = 60,000

Since 60,000 is over 15,000 we take 6% of this to get

6% of 15,000 = 0.06*15,000 = 900

He has earned another $900

The total now stands at 600+900 = 1,500 dollars

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Now we take 10% of the sales in excess of $30,000, which is

75,000 - 30,000 = 45,000

Ten percent of that is

10% of 45,000 = 0.10*45,000 = 4,500

So he has earned $4,500 more

1,500+4,500 = 6,000

So the final total is $6,000

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In total, he has earned $6,000 for the entire month.

Side Note: You can write this all out in one line as

0.04*15,000+0.06*15,000+0.10*45,000 = 6,000

but I find it helps to break it down

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