A salesperson set a goal to earn $2,500 in August. She receives a base salary of $1,000 per month as well as a 20% commission for all sales in that month. How many dollars of merchandise will she have to sell to meet her goal?
answer:7500
Right.
To determine the amount of merchandise the salesperson will have to sell to meet her goal of earning $2,500 in August, we need to consider her base salary and commission.
Step 1: Calculate the commission amount.
The salesperson receives a 20% commission for all sales in that month.
20% of the total sales amount = $2,500 - $1,000 (base salary)
20% of ($2,500 - $1,000) = 20% of $1,500
Commission amount = 0.2 * $1,500
Commission amount = $300
Step 2: Calculate the total sales amount needed.
The total sales amount needed is the sum of the base salary and the commission amount.
Total sales amount needed = $1,000 + $300
Total sales amount needed = $1,300
Therefore, the salesperson will have to sell $1,300 of merchandise in order to meet her goal of earning $2,500 in August.
To find out how many dollars of merchandise the salesperson will have to sell to meet her goal, we can use the following steps:
1. Determine the amount of commission the salesperson will receive for reaching her goal.
- The salesperson's goal is $2,500.
- She receives a base salary of $1,000 per month.
- So, the commission she needs to earn is $2,500 - $1,000 = $1,500.
2. Calculate the total amount of sales required to earn the commission.
- The salesperson receives a 20% commission for all sales in August.
- Let's assume the total amount of merchandise sold as X.
- Therefore, 20% of X is equal to the commission of $1,500.
- Mathematically, 20/100 * X = $1,500.
3. Solve the equation to find the value of X.
- To solve for X, we can divide both sides of the equation by 20/100 or 0.2.
- X = $1,500 / 0.2 = $7,500.
So, the salesperson will have to sell $7,500 worth of merchandise in August to meet her goal of earning $2,500.