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Joan sells new cars at a local dealership. She receives a 25\(\%\) commission on the profit each car is sold for. Last month she sold 9 cars, for a total of \(\$ 8,870\) dealer profit. How much did she earn in commission?

Short Answer

Expert verified
Joan earned \(0.25 \times 8,870 = \$2,217.50\) in commission last month.

Step by step solution

01

Understand the given problem

Joan's commission is 25% of total dealer profit. The total profit for the dealer last month was $8,870. The task is to calculate how much Joan earned in commission.
02

Calculate the commission

The commission is calculated by finding 25% of $8,870. This is done by multiplying the total dealer profit by the commission rate in decimal form (25% = 0.25). \[ 0.25 \times 8,870 \]
03

Compute the final result

On performing the multiplication, the commission earned by Joan is obtained thus providing the final solution to the problem.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percentage Calculation
Understanding percentage calculation is crucial in various real-life scenarios, such as calculating discounts, interest rates, and commissions. A percentage is essentially a fraction of 100, and it is a way to express a number as a part of a whole. For instance, 25\(\%\) means 25 out of every 100 parts.
When calculating percentages, first convert the percentage to its decimal form by dividing by 100. In Joan's case, her commission rate is 25\(\%\), which can be written as 0.25.
To find a percentage of a given amount, multiply the amount by the decimal form of the percentage. Let's say you need to calculate 25\(\%\) of \$8,870. Perform the multiplication:
  • Convert 25\(\%\) to 0.25.
  • Multiply \(0.25 \times 8,870\).
This method of calculation helps in gaining clear insights into how percentages affect overall quantities and values.
Profit Distribution
Profit distribution is a vital concept to understand how earnings are allocated among stakeholders. In businesses like dealerships, profits can be distributed as commissions, bonuses, or dividends. This process ensures that each party involved in the creation of profit gets their fair share.
The profit in a car dealership is the amount left after all costs and expenses have been subtracted from the sales revenues. Joan earns her commission based on this profit, which is determined by the dealership.
For Joan, the profit distribution involves computing her share of the dealership's total profit. This means multiplying the total profit by the commission rate to determine the amount Joan receives as earnings.
  • Total profit for the dealer: \$8,870.
  • Joan's commission: 25\(\%\).
  • Proportion of profit Joan receives: \(0.25 \times 8,870\).
By understanding profit distribution, individuals and businesses can better plan their finances and reward stakeholders appropriately.
Car Sales
The car sales industry operates by selling automobiles to consumers and often involves intricate profit-sharing models. Sales strategies, negotiation skills, and market trends play significant roles in this dynamic field.
A car sales professional, like Joan, is typically rewarded through commissions, motivating them to achieve higher sales performance. Commission structures vary by dealership, but they generally reward salespersons for the profits earned from their sold vehicles.
Certain elements of car sales that influence profit include:
  • The sales price of the car versus its cost.
  • Any additional services or warranties sold.
  • Negotiated discounts and trade-in values.
These factors contribute to the total profit, on which salespeople like Joan earn their commission. Understanding the intricacies of car sales can lead to better career opportunities and financial outcomes within the industry.

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Most popular questions from this chapter

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