Partnership and Share | Advance problems/question/Short Tricks(2020)
In this video, we will explore the concept of partnership and share, specifically focusing on problems that involve two partners. We will begin by discussing the basic concepts of partnership and share, and then move on to problems that involve sharing of profits and losses between two partners.
We will cover various scenarios where partners invest unequal amounts of money, work for unequal periods, and receive different percentages of profit or loss. We will also discuss how to calculate the capital of each partner, their share of profits and losses, and the final amount to be received by each partner.
Whether you are a student preparing for an exam or a professional looking to sharpen your math skills, this video is perfect for you. By the end of this video, you will have a thorough understanding of the partnership and share concept and be able to apply it to various problems involving two partners.
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Introduction
A partnership is an association of two or more persons who invest their money in order to carry on a certain business. A partner who manages the business is called the working partner and the one who simply invests the money is called the sleeping partner.
Partnership is of two kinds: Simple and Compound.
Simple partnership:
If the capitals is of the partners are invested for the same period, the partnership is called simple. In simple partnership, the profit or loss is divided in the ratio of partner’s investments.
Compound partnership:
If the capitals of the partners are invested for different lengths of time, then it is called compound partnership. In compound partnership the profit and loss is divided in the ratio of the product of partner's investment and the period of investment.
Equivalent Investment(EI): It is the product of the capital invested and the period for which it is invested.
EI = Investment × Period
In compound partnership, the profit or loss is divided in the ratio of their Equivalent Investment (EI).
Important Questions:
1. P and Q started a business by investing Rs 85,000 and Rs 15,000 respectively. In what ratio the profit will be divided between P and Q respectively?
a. 3 : 4 b. 3 : 5 c. 15 : 23 d. None
2. Anand and Deepak started a business by investing Rs 22,500 and Rs 35,000 respectively. Out of a total profit of Rs 13,800, Deepak’s share is:
a. 5400 b. 7200 c. 8400 d. 9600
3. Kamal started a business by investing Rs 9000. After five months, Sammer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs 6,970, then find Sameer’s share in the profit ?
a. 883.78 b. 2380 c. 3690 d. 3864
4. Simran started a software business with Rs 50,000. After six months, Nanda joined her with a capital of Rs 80,000. After 3 years, they earned a profit of Rs 24,500. What was Simran’s share in the profit?
a. 9423 b. 10,500 c. 12,500 d. 4,000
5. A and B started a partnership by investing Rs 20,000 and Rs 15,000 respectively. After six months, C joined them with Rs 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
a. 7500 b. 9000 c. 9500 d. 10,000
6. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
a. 890 b. 1335 c. 1602 d. 1780
7. A, B and C enter into a partnership. They invest Rs 40,000, Rs 80,000 and Rs 1,20,000 respectively. At the end of the first year, B withdraws Rs 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio profit will be shared at end of 3 years ?
a. 2:3:5 b. 3:4:7 c. 4:5:9 d. None
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