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Important Formulas: Partnership | General Test Preparation for CUET - CUET Commerce PDF Download

What is Partnership? 

A partnership is whenever at least two individuals hold hands with a shared objective to achieve benefits. Each accomplice contributes either time, cash or licenses to enable the association firm to harvest benefits. A partner who only invests money is called a Sleeping Partner and a partner who invests money and mainly manages the business is called the working partner. Some other important points associated with partnership are given below.

  • Whenever at least two individuals hold hands to make a start-up or some business it’s known as an ‘association’ business.
  • Regularly, they contribute some capital and procure some benefits. Furthermore, this benefit is circulated among accomplices either in some prefixed proportion or the proportion of their venture.
  • When the periods of investment are equal, the profits or losses are in the ratio of the corresponding investments.

These points are better understood by knowing the types of partnerships. The detailed explanations of the different types of partnerships are given below:

Types of Partnership

There are mainly two types of partnership i.e. simple and compound partnerships. The details of both of them are given below.

1. Simple Partnership

In such partnerships, the resources are invested for the same time period by all the investors i.e. the capital (or other resources) stays in the business for the same duration. In this kind of partnership, the profit is distributed in proportion to their contributed resources.

Rule 1: Simple Partnership Formula
 P’s benefit (or misfortune) : Q’s profit(or misfortune) = a : b

2. Compound Partnership

In a compound partnership, the money is invested for different periods of time by different investors. In this, the benefit-sharing proportion is ascertained by duplicating the capital contributed with the unit of time (generally months).
Rule 2: Compound Partnership Formula
P1 : P2 = C1 × T1 : C2 × T2
Here,
P1 = Partner 1’s Profit.
C1 = Partner 1’s Capital.
T1 = Time period for which Partner 1 contributed his capital.
P2 = Partner 2’s Profit.
C2 = Partner 2’s Capital.
T2 = Time period for which Partner 2 contributed his capital.

Sample Partnership Problems

Q1: Anmol and Bhuvesh invested Rs.1500 and Rs.2000 respectively in a firm. After 4 months, they admit Suresh who contributed Rs.2250. Bhuvesh withdraws his contribution after 9 months. What would be Bhuvesh’s share if the profit at the end of the year was Rs. 900?
Sol:
To solve this, it is important to calculate the ratio of their contribution first. It is given that Anmol invested his capital for 12 months while Suresh invested his capital for (12 – 4=) 8 months and Bhuvesh invested for 9 months.
So, Anmol : Bhuvesh : Suresh = 1500 × 12: 2000 × 9: 2250 × 8 = 180 : 180 : 180
=> Anmol : Bhuvesh : Suresh = 1 : 1 : 1.
Now, Bhuvesh’s share will be = {1 / (1 + 1 + 1)} = 1/3rd of profits = (1/3) × 900 = Rs. 300.


Q2: Rakesh contributes one-fourth of capital for one-fourth of the time. Raju contributes one-fifth of capital for half of the time and Ramu contributes the remaining capital for the whole time. Calculate their profit-sharing ratio.
Sol: Part of Capital by
Rakesh = 1/4 ;
Raju = 1/5 ;
Ramu gave remaining ⇒ Ramu’s share in capital = 1 – (1/4 + 1/5) = 11/20
Time investment by: Rakesh = 1/4; Raju = 1/2; Ramu = 1 (whole time means full one 1 year)
Using, P1: P2 = C1×T1: C2×T2
⇒ A: B : C = 5: 8: 44.
Now we’ll take LCM of 16, 10 and 20 which is 80 and divide it by each denominator and multiply the number thus obtained by each of the respective denominators.
⇒ A: B: C = 5: 8: 44.

The document Important Formulas: Partnership | General Test Preparation for CUET - CUET Commerce is a part of the CUET Commerce Course General Test Preparation for CUET.
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FAQs on Important Formulas: Partnership - General Test Preparation for CUET - CUET Commerce

1. What is the formula to calculate the share of profit in a partnership?
Ans. The formula to calculate the share of profit in a partnership is: Share of A = (Investment of A / Total Investment) * Total Profit.
2. How do you calculate the ratio of profits in a partnership?
Ans. The ratio of profits in a partnership can be calculated by dividing the individual shares of profit by the total profit.
3. What is the difference between a general partnership and a limited partnership?
Ans. In a general partnership, all partners have unlimited liability and are actively involved in the business, while in a limited partnership, there are both general partners with unlimited liability and limited partners with liability restricted to their investment.
4. How do you calculate the time duration for which a person invests in a partnership?
Ans. The time duration for which a person invests in a partnership can be calculated by dividing the total profit by the annual profit share of the person.
5. What is the importance of a partnership agreement in a business partnership?
Ans. A partnership agreement is important in a business partnership as it outlines the terms and conditions of the partnership, including profit sharing, decision-making processes, and dispute resolution mechanisms.
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