How to Solve Partnership Questions quickly?

Partnership is a very prominent topic for the general competitive exams like S.S.C, Banking, Railways etc under the section of quantitative aptitude. Here the banking team of jagranjosh is providing an introduction about “How to solve Partnership questions quickly in the exams.” There are three or four types of questions are related to it, which are generally asked in banking examination.

• When two or more people joined hand in a business, it is a partnership where they invest their capital and earn profit. Generally profit distribution is made in the ratio of capitals but is they joined in different times then mode of distribution would be change. There are two types of partnership.  First type of partnership is related to the profit distribution in ideal way and second type of partnership is related to a contractual way.

• If two persons Ajay and Vijay start a business together and got a certain profit then ratio of their profit is in the ratio of their capital or P₁:P₂ = C₁ × T₁ : C₂ × T₂ where P₁ and P₂ are profit of A and B and C₁, T₁ C₂, T₂ are capital and time of A and B respectively.

• If different partners have different time duration then the ratio of profit not follow the ratio of capitals. If A invests for a year and B invests his capitals after 3 months, then profit ratio would be the ratio of their capitals × time.

• Third type question is related to the concept of capitals withdraw within time or middle of them. Then the ratio of profit would be in the ratio of starting capital × total time withdraw capital × rest of time.

Related questions:

1. A starts a business with an investment of Rs. 10000 with B who invests Rs. 12000. If their total profit is Rs. 12000 then find the share of A?

Answer: Profit of A: Profit of B = C₁: C₂ = 10000: 12000 = 5: 6

2. A starts a business with an investment of Rs. 50000 and B joins him with Rs. 60000 after 3 months then what would be ratio of their yearly profit?

Answer: Profit of A: Profit of B = C₁ × T₁: C₂ × T₂

It is advisable to practice a lot before the exams. The usage of basic formulae is very important in the beginning. Slowly and gradually the student could shift towards using the short-cuts for partnership questions. By going through both the processes a student becomes perfect in both the methods that help a lot in the examinations.