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Chapter 8: Problem 4

Ron has a co-op in Astor Cooperative. The total shares in the cooperative are \(40,000\) shares. If Ron owns 500 shares, what percentage of the cooperative corporation does he own?

Short Answer

Expert verified
Ron owns \(1.25\%\) of the cooperative corporation.

Step by step solution

01

Identify Total Shares and Ron's Shares

In this scenario, the total shares in the Astor Cooperative are \(40,000\) shares, and Ron owns \(500\) shares.
02

Formula for Calculating Percentage

The formula for calculating the percentage is (Part/Whole) x 100. Here, 'Part' is the number of shares that Ron owns, and 'Whole' is the total number of shares in the company.
03

Substitute Values into the Formula

Now, substitute these values into the formula. So, it will be \((500/40000) \times 100\).
04

Perform the Calculation

Divide \(500\) by \(40000\) and then multiply the result by \(100\). This gives \(1.25\%\)

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Key Concepts

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

Understanding Cooperative Shares
Cooperative shares represent ownership in a cooperative business, often housing or agricultural co-ops. When you own shares in a cooperative, you essentially own a portion of the cooperative itself. This concept is a bit different from traditional business shares, as cooperative ownership often carries voting rights, allowing members to influence decisions affecting the co-op. This can create a deeper connection between the organization and its members. The specific number of shares one holds in a cooperative directly correlates to the degree of influence and ownership rights they possess.
Calculating Ownership Percentage
To determine the ownership percentage in a cooperative, or any similar organization, use a simple math formula. This calculation helps quantify how much of the organization someone owns.
Start with these two important pieces:
  • The total number of shares in the company, which represents the "whole" of the business.
  • The number of shares an individual or entity owns, representing the "part" that the person holds.
The formula to determine the percentage ownership is:
  • \(\frac{\text{Part}}{\text{Whole}} \times 100 = \text{Ownership Percentage}\)
In the given example, Ron's ownership is calculated by placing his 500 shares over the total 40,000 shares, yielding \(\frac{500}{40000} \times 100 = 1.25\%\). Recognizing the percentage of shares you own is crucial, as it directly impacts your level of control and potential earnings from the cooperative.
Approaching Mathematics Problem-Solving
Solving mathematics problems requires a structured approach. Whether tackling percentage calculations or other mathematical challenges, following these steps can simplify the process:
  • Identify the equation you need to use. In percentage problems, for instance, understand that you're looking for a fraction of a whole.
  • Recognize the different components involved. Ensure you note which will be the "part" and the "whole" so you can substitute them correctly into the formula.
  • Substitute the correct values with accuracy. Double-check numbers to avoid minor errors that can alter outcomes.
  • Work through the arithmetic carefully. Be it dividing numbers or multiplying by 100, precise calculations lead to correct answers.
Approaching the problem methodically ensures clarity and accuracy, allowing you to arrive at the solution efficiently. Using Ron's example, once you identify all these building blocks, you can confidently determine his ownership as a percentage.

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Most popular questions from this chapter

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