SSC CGL Maths Arithmetic Partnership by Ravinder Sir

SSC CGL Maths Arithmetic includes many scoring topics, and Partnership is one of the most important among them. This topic focuses on the relationship between capital invested, investment duration, and profit sharing. Questions from Partnership are frequently asked in competitive exams as they test both calculation skills and understanding of ratios and proportions.

Students who want detailed solutions, step-by-step explanations, and a complete understanding of the concepts can watch the attached video lecture. The video covers various Partnership question types, including cases where partners invest different amounts, join or leave the business at different times, or share profits under special conditions.

What is Partnership?

Partnership is a topic in Arithmetic where two or more people invest money in a business. These people are called partners. They invest capital for a certain time and earn profit from the business. The profit is divided according to the money invested and the time for which the money was used.

The basic formula is: Capital × Time = Profit

This means profit depends on both capital and time. A person who invests more money may not always get more profit. If another person invests less money for a longer time, that person may get a higher profit.

Important Terms in Partnership

Students should understand some basic terms before solving questions.

Capital

Capital means the money invested in a business. In Hindi, it is called पूंजी. For example, if A invests ₹20,000 and B invests ₹10,000, then their capital ratio is 2:1.

Time

Time means the duration for which the capital remains invested in the business. It may be given in months or years. For example, if A invests money for 12 months and B invests money for 2 months, then their time ratio is 6:1.

Profit

Profit means the gain earned from the business. In Hindi, it is called लाभ. Profit is divided among partners according to the product of capital and time.

SSC CGL Maths Arithmetic Partnership Practice Question

Partnership questions are based on the relationship between capital, time, and profit. The following practice questions cover important concepts such as profit sharing, joining and withdrawing partners, investment duration, and ratio-based calculations.

Question 1

A and B enter into a partnership with their capitals in the ratio 7: 9. At the end of the 8th month, A withdraws his capital. If they received profits in the ratio 8: 9, find how long B's capital was used.

Options:

• A. 4 months

• B. 6 months

• C. 7 months

• D. 8 months

Question 2

A and B enter into a partnership with capitals in the ratio 5: 6. At the end of 8 months, A withdraws his capital. If they received profits in the ratio 5: 9, find how long B's capital was used.

Options:

• A. 8 months

• B. 9 months

• C. 11 months

• D. 12 months

Question 3

Beena and Meena started a boutique by investing ₹35,000 and ₹56,000, respectively. If Beena's share in the profit earned by them is ₹45,000, then what is the total profit earned?

Options:

• A. ₹81,000

• B. ₹1,27,000

• C. ₹72,000

• D. ₹1,17,000

Question 4

A starts a business with ₹21,000, and later B joins him with ₹36,000. After how many months did B join if the profit is distributed in an equal ratio?

Options:

• A. 5 months

• B. 7 months

• C. 6 months

• D. 9 months

Question 5

A, B, and C start a business. A invests a certain sum, B invests double the amount after 6 months, and C invests three times the amount after 8 months. If the total profit at the end of the year is ₹27,000, what will be C's share?

Options:

• A. ₹9,000

• B. ₹12,000

• C. ₹10,000

• D. ₹12,500

Question 6

A starts a business with ₹1,000. B joins after 6 months with ₹4,000. C puts a sum of ₹5,000 for 4 months only. At the end of the year, the business made a profit of ₹2,800. How should the profit be divided among them?

Options:

• A. ₹600, ₹1,200, ₹1,000

• B. ₹800, ₹600, ₹1,400

• C. ₹600, ₹1,200, ₹600

• D. ₹1,200, ₹600, ₹1,000

Question 7

A and B enter into a partnership for a year. A contributes ₹3,000, and B contributes ₹4,000. After 4 months, they admit C, who contributes ₹4,500. If B withdraws his contribution after 6 months, how would they share a profit of ₹1,000 at the end of the year?

Options:

• A. ₹250, ₹200, ₹550

• B. ₹150, ₹200, ₹650

• C. ₹375, ₹250, ₹375

• D. Data inadequate

Question 8

A, B and C invested in the ratio 1: 2: 3. The timing of their investments is also in the ratio 1: 2 : 3. In what ratio would their profit be distributed?

Options:

• A. 3: 2: 1

• B. 1: 2 : 3

• C. 1: 4: 9

• D. 9: 4: 1

Question 9

A, B and C invested capitals in the ratio 4: 5: 6. At the end of the business term, they received the profits in the ratio 2: 3: 4. Find the ratio of time for which they contributed their capitals.

Options:

• A. 6: 5: 8

• B. 6: 5: 9

• C. 10: 12: 9

• D. 15: 18: 20

Question 10

A and B invested in the ratio 5: 3 in a business. If 10% of the total profit goes to charity and A's share is ₹450, find the total profit.

Options:

• A. ₹1,600

• B. ₹1,400

• C. ₹1,500

• D. ₹800

SSC CGL Maths Arithmetic Partnership is based on a simple concept. The profit is divided according to capital and time. If all partners invest for the same time, the capital ratio becomes the profit ratio. If the time is different, then capital must be multiplied by time.