A wholesale food sales rep is paid a base salary of $1200 per month plus a 38% commission on sales. How many sales must she generate in order to earn $35,000 per year in total compensation?

Answer:

Step-by-step explanation:

salary per year=1200×12=14400

let the sale be $ x

14400+38 % of x=35,000

38 % of x=35,000-14,400=20,600

x=20,600 \times \frac{100}{38}=$ 54210.53

Final answer:

To earn $35,000 per year, the sales rep must generate approximately 54,210 sales.

Explanation:

To find out how many sales the wholesale food sales rep must generate in order to earn $35,000 per year in total compensation, we need to set up an equation based on the given information. Let's assume the sales generated by the rep are 'x'. The total compensation can be calculated as:

Total Compensation = Base Salary + Commission

$35,000 = $1200/month + 0.38x

Now, we can solve this equation to find 'x', the number of sales needed. First, let's convert the monthly base salary to yearly:

$1200/month * 12 months = $14,400/year

Substituting this value into the equation:

$35,000 = $14,400 + 0.38x

Now, we can isolate 'x' by subtracting $14,400 from both sides of the equation:

$20,600 = 0.38x

Finally, divide both sides of the equation by 0.38:

x = $20,600 / 0.38 = 54,210

Therefore, the wholesale food sales rep must generate approximately 54,210 sales in order to earn $35,000 per year in total compensation.

Learn more about Salary calculations

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