Partnership and Share Questions with Solutions | Set 1 (Q1 to Q10)

This set contains Partnership and Share Questions with Solutions — Set 1 (Q1 to Q10) covering a mix of question types and difficulty levels — from basic to advanced — exactly as asked in real competitive exams.

Solutions are written in a simple, step-by-step notebook style for easy self-study and quick understanding. Each solution is broken down step by step so even the toughest question feels easy. These questions are hand-picked for students preparing for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and all campus placement aptitude tests. International students preparing for GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests will find these equally useful.

✏️ Attempt each question on your own first — then check the solution below.

1. A starts a  business with Rs. 40000. After 5 months B joins him with Rs. 60000. At the end of the year in what ratio should they share the profit ?

2. A started a business by investing Rs. 25000. After 3 months B joined him with some investment. At the end of the year, the total profit was divided in the ratio of 10:9. How much capital was invested by B in the business ?

3. A started a business with Rs. 56000 and after 4 months B joined him with Rs. 42000. At the end of the year, out of the total profit B received total Rs. 1000 including 25% of the profit as commission for managing the business. what amount did A receive?

4. A and B are partners in a business. They invest in the ratio of 3:7. At the end of half year A withdraws. If they receive profit in the ratio of 9:7. Find how long B’s investment was used ?

5. A, B and C subscribe a business for Rs 77000. If A subscribes Rs. 9000 more than B and B subscribes Rs. 4000 more than C. Then out of the total profit of Rs. 7700, find the profit share of C.

6. A started a business with Rs. 25000. After 3 months B joined him with Rs. 22000. After some more time C joined them with Rs. 13000. At the end of the year, out of the total profit of Rs. 30240, C gets Rs. 4095 as his share. How many months after B joined the business, did C join ?

7. A, B and C started a business with their investment in the ratio of 1:2:4. After 6 months  A invested half the more amount as before and B invested the same amount as before while C withdew \({\frac{1}{4}^{th}}\) of his investment. Find the ratio of their profits at the end of the year.

8. Out of a total profit of Rs. 800000, 30% is paid as taxes. Of the rest is divided among partners A, B and C in the ratio 1:5:2. Find the respective share of A, B and C.

9. Rs. 12300 are divided among A, B and C so that A may receive one half as much as B and C together receive and B receives one-fourth of what A and C together receive. Find by how much share of C is more than share of  A ?

10. The investment made by A and B are in the ratio 3:2. If 90% of total profit is donated and A gets Rs. 7890 as his share of profit then what is the amount of total profit ?

1. A starts a  business with Rs. 40000. After 5 months B joins him with Rs. 60000. At the end of the year in what ratio should they share the profit ?
Sol:
When total time is not given then it is assumed 12 months

2. A started a business by investing Rs. 25000. After 3 months B joined him with some investment. At the end of the year, the total profit was divided in the ratio of 10:9. How much capital was invested by B in the business ?
Sol:

3. A started a business with Rs. 56000 and after 4 months B joined him with Rs. 42000. At the end of the year, out of the total profit B received total Rs. 1000 including 25% of the profit as commission for managing the business. what amount did A receive ?
Sol:

out of 300 unit profit B received 25% extra i.e. 300 × 25% = 75 unit, remaining 300 – 75 = 225 unit profit will be divided between A and B in the ratio 2:1
∴ A’s share = 225 unit × \(\frac{2}{3}\)
and B’s share = 225 unit × \(\frac{1}{3}\) = 75 unit

Given 150 unit ⟶ 10000
∴ A’s share = \(\frac{2}{3}\) × 225 unit = 150 unit = 10000 Rs.     Answer

4. A and B are partners in a business. They invest in the ratio of 3:7. At the end of half year A withdraws. If they receive profit in the ratio of 9:7. Find how long B’s investment was used ?
Sol:

5. A, B and C subscribe a business for Rs 77000. If A subscribes Rs. 9000 more than B and B subscribes Rs. 4000 more than C. Then out of the total profit of Rs. 7700, find the profit share of C.
Sol:

6. A started a business with Rs. 25000. After 3 months B joined him with Rs. 22000. After some more time C joined them with Rs. 13000. At the end of the year, out of the total profit of Rs. 30240, C gets Rs. 4095 as his share. How many months after B joined the business, did C join ?
Sol:

∴ C’s share = 13x unit
= 13x × \(\frac{{30240}}{{4989 + 13x}}\)
x = 6
i.e. C remained in the business for 6 months. So he joined after 9 – 6 = 3 months after B joined           Answer

7. A, B and C started a business with their investment in the ratio of 1:2:4. After 6 months  A invested half the more amount as before and B invested the same amount as before while C withdew \({\frac{1}{4}^{th}}\) of his investment. Find the ratio of their profits at the end of the year.
Sol:

8. Out of a total profit of Rs. 800000, 30% is paid as taxes. Of the rest is divided among partners A, B and C in the ratio 1:5:2. Find the respective share of A, B and C.
Sol:
tax = 30% of 800000 = 240000 Rs.
Remaining profit = 56000 Rs.

9. Rs. 12300 are divided among A, B and C so that A may receive one half as much as B and C together receive and B receives one-fourth of what A and C together receive. Find by how much share of C is more than share of  A ?
Sol:

10. The investment made by A and B are in the ratio 3:2. If 90% of total profit is donated and A gets Rs. 7890 as his share of profit then what is the amount of total profit ?
Sol:

donation = 500 × 90% = 450 unit
Remaining profit = 50 unit
A’s share = 30 unit ⟶ 7890
                  1 unit = 263
∴ total profit = 500 unit
= 13150 Rs.       Answer

✅ Well done on completing Set 1!

Continue practising with Partnership and Share Questions 11 to 20 → Set 2 or revisit the Partnership and Share Concept Page to strengthen your formulas and tricks before moving ahead.

Consistent practice is the key to mastering partnership and share for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and international exams including GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests. Want to understand the concept better? Read about Partnership on Wikipedia before attempting the next set.

This page is part of our complete series of partnership and share questions with solutions for competitive exams — covering every question type from basic to advanced so you can build speed, accuracy and confidence. Practising these questions regularly will also strengthen your core partnership and share concept before your exam day.