MATHS: RATIO

Share and Ratio in Partnership

• Basic Concepts

  • Investment Sharing:

  • Investment strategies involve sharing profits and losses according to the amount each partner has invested.

  • The total investment is gathered and divided among partners.

  • Each partner's share can be calculated as:
    \text{Each Share} = \frac{\text{Total Investment}}{\text{Number of Investors}}

Understanding Partnerships

• Definition of Partnership:

  • A partnership is defined as a business structure where two or more individuals combine their capital to run a business.

  • General Characteristics:

  • Involves collaboration among partners.

  • Each partner has a stake in the business equally or unequally based on financial input.

Profit and Loss in Unequal Investments

• Investment Ratio Example:

  • Scenario:

  • Two partners, Ali and Ahmad, invested in a business at ratios of 2:3.

  • Their total profit is recorded at 5,000.

  • Calculation Steps:

  1. Add the Ratios:

     • Total ratios = 2 + 3 = 5.

  2. Convert to Fractions:

     • Ali's share: \frac{2}{5}

     • Ahmad's share: \frac{3}{5}

  3. Calculate Individual Profits:

     • For Ali:
       \text{Profit}_{Ali} = \frac{2}{5} \times 5000 = 2000

     • For Ahmad:
       \text{Profit}_{Ahmad} = \frac{3}{5} \times 5000 = 3000

• Understanding Profit Calculation:

  • The ratio serves as a basis for determining individual profit shares based on their respective contributions to the total investment.

Practice Question and Learning Recap

• Exercise Given:

  • Students asked to demonstrate calculations regarding profit and loss sharing based on varying amounts of investment.

• Summary of Learning:

  • Reviewed methods for finding individual profits in partnerships with both equal and unequal investments.

  • Key method highlighted:

  1. Add the ratios.

  2. Divide the individual ratio by total to determine profit share.

  3. Adjust calculations based on total profit or loss.