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Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is \( \$ 18,000 \). He makes \( 4 \% / \% \) commission on all of his sales. Mr. Gonzalez wants to earn \( \$ 60,000 \) this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have? a. \( \$ 37,500 \) b. \( \$ 87,500 \) c. \( \$ 100,000 \) d. \( \$ 125,000 \)

Ask by Ray Cox. in the United States
Mar 11,2025

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Mr. Gonzalez needs monthly sales of \$87,500 to earn \$60,000 this year.

Solución

We begin by letting \( S \) represent the total sales Mr. Gonzalez must make in a year. His annual earnings are made up of a base salary plus a commission of \( 4\% \) on his total sales. The equation for his total annual earnings is \[ 18{,}000 + 0.04S = 60{,}000. \] Subtract the base salary from both sides: \[ 0.04S = 60{,}000 - 18{,}000 = 42{,}000. \] Solve for \( S \) by dividing both sides by \( 0.04 \): \[ S = \frac{42{,}000}{0.04} = 1{,}050{,}000. \] This is the required total yearly sales. Since his earnings need to be divided evenly throughout the year, we need to calculate the required monthly sales: \[ \text{Monthly Sales} = \frac{1{,}050{,}000}{12} = 87{,}500. \] Thus, Mr. Gonzalez must have monthly sales of \(\$87,500\). The answer is \( \$87,500 \).

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Beyond the Answer

To figure out how much Mr. Gonzalez needs to make in monthly sales, we start with his desired annual income of \( \$60,000 \). Subtracting his salary of \( \$18,000 \) from this total gives him \( \$42,000 \) that he needs to earn from commissions. Since he earns a commission of \( 4\% \) on his sales, we set up the equation: \[ 0.04 \times \text{Total Sales} = 42,000 \] Solving for Total Sales, we get: \[ \text{Total Sales} = \frac{42,000}{0.04} = 1,050,000 \] This is the total sales he needs to make for the year. To find out his monthly sales, we divide this by \( 12 \): \[ \text{Monthly Sales} = \frac{1,050,000}{12} = 87,500 \] Thus, the correct answer is \( b. \; 87,500 \). If you think calculating income a bit daunting, grab a calculator and check each step! A common mistake people make is forgetting to convert percentages or miscalculating the total required income, so double-check your math and you’ll be golden! For more on commission structures and salary negotiations, explore books like "The Salary Negotiation Guide" or check out articles on earning potential in your field. A little research might just fetch you a raise too!

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