Partnership— Concepts, Formulas & Shortcuts
- Simple partnership (same duration): profit ratio = capital ratio.
- Compound partnership (different durations): profit ratio = (capital × time) for each partner.
- A sleeping partner shares only in proportion to capital; a working partner may also draw a salary or commission first.
- Deduct any commission from the total profit BEFORE dividing the remainder in the capital ratio.
- If a partner joins later, count only the months their money was actually invested.
- Loss is shared in exactly the same ratio as profit.
Partnership Practice Questions with Answers
Attempt each question first, then open the explanation. All 20 questions below are free to read and require no signup.
Q1.A invests ₹5,000 and B invests ₹6,000 in a business for the same period. If the total profit is ₹5,500, B's share is:
Easy- A₹2,500
- B₹2,750
- C₹3,000
- D₹3,300
Partnership question 1 of 20+Show Answer & Explanation
Answer: C. ₹3,000
Explanation: Ratio = 5000 : 6000 = 5 : 6. B's share = 6/11 × 5,500 = ₹3,000.
Q2.A invests ₹40,000 for 12 months and B invests ₹60,000 for 6 months. Their profit-sharing ratio is:
Moderate- A2 : 3
- B3 : 4
- C4 : 3
- D3 : 2
Partnership question 2 of 20+Show Answer & Explanation
Answer: C. 4 : 3
Explanation: A: 40,000 × 12 = 4,80,000; B: 60,000 × 6 = 3,60,000 → 480 : 360 = 4 : 3.
Q3.A, B and C invest ₹8,000, ₹10,000 and ₹12,000 respectively for the same period. Out of a profit of ₹9,000, C receives:
Easy- A₹2,400
- B₹3,000
- C₹3,600
- D₹4,000
Partnership question 3 of 20+Show Answer & Explanation
Answer: C. ₹3,600
Explanation: Ratio 8 : 10 : 12 = 4 : 5 : 6, total 15 parts. C's share = 6/15 × 9,000 = ₹3,600.
Q4.A and B share profits in the ratio 3 : 2. If the total profit is ₹25,000, A's share is:
Easy- A₹10,000
- B₹12,500
- C₹15,000
- D₹18,000
Partnership question 4 of 20+Show Answer & Explanation
Answer: C. ₹15,000
Explanation: A gets 3/5 of 25,000 = ₹15,000.
Q5.A is a working partner who receives 10% of the profit for managing the business; the remainder is divided between A and B in the capital ratio 2 : 3. If the total profit is ₹8,800, A receives in all:
Difficult- A₹3,168
- B₹3,520
- C₹4,048
- D₹4,400
Partnership question 5 of 20+Show Answer & Explanation
Answer: C. ₹4,048
Explanation: Commission = 10% of 8,800 = ₹880. Remaining ₹7,920 split 2 : 3 → A gets ₹3,168. Total for A = 880 + 3,168 = ₹4,048.
Q6.A invests ₹x for 6 months and B invests ₹2x for 3 months. Their profit ratio is:
Moderate- A1 : 1
- B1 : 2
- C2 : 1
- D3 : 2
Partnership question 6 of 20+Show Answer & Explanation
Answer: A. 1 : 1
Explanation: A: x × 6 = 6x; B: 2x × 3 = 6x → the ratio is 1 : 1.
Q7.A and B invest ₹3,000 and ₹4,000 for the same period. Out of a profit of ₹1,400, A's share is:
Easy- A₹500
- B₹600
- C₹700
- D₹800
Partnership question 7 of 20+Show Answer & Explanation
Answer: B. ₹600
Explanation: Ratio 3 : 4, total 7 parts → A gets 3/7 × 1,400 = ₹600.
Q8.A invests ₹12,000 for 8 months and B ₹16,000 for 6 months. Their profit ratio is:
Moderate- A1 : 1
- B2 : 3
- C3 : 2
- D4 : 3
Partnership question 8 of 20+Show Answer & Explanation
Answer: A. 1 : 1
Explanation: A: 12,000 × 8 = 96,000; B: 16,000 × 6 = 96,000 → 1 : 1.
Q9.A, B and C invest in the ratio 2 : 3 : 5 for the same period. If the total profit is ₹20,000, B receives:
Easy- A₹4,000
- B₹6,000
- C₹8,000
- D₹10,000
Partnership question 9 of 20+Show Answer & Explanation
Answer: B. ₹6,000
Explanation: Total parts = 10 → B gets 3/10 × 20,000 = ₹6,000.
Q10.A starts a business with ₹20,000. After 4 months B joins with ₹30,000. At the end of the year their profit ratio is:
Difficult- A1 : 1
- B2 : 3
- C3 : 2
- D4 : 5
Partnership question 10 of 20+Show Answer & Explanation
Answer: A. 1 : 1
Explanation: A: 20,000 × 12 = 2,40,000; B: 30,000 × 8 = 2,40,000 → 1 : 1.
Q11.In a partnership, A's capital is twice B's and B's is thrice C's. Their profit-sharing ratio is:
Moderate- A6 : 3 : 1
- B2 : 3 : 1
- C6 : 1 : 3
- D3 : 2 : 1
Partnership question 11 of 20+Show Answer & Explanation
Answer: A. 6 : 3 : 1
Explanation: Let C = 1, then B = 3 and A = 6 → 6 : 3 : 1.
Q12.Two partners share a loss of ₹6,000 in the ratio 5 : 7. The larger share of the loss is:
Easy- A₹2,500
- B₹3,000
- C₹3,500
- D₹4,000
Partnership question 12 of 20+Show Answer & Explanation
Answer: C. ₹3,500
Explanation: Total 12 parts → larger share = 7/12 × 6,000 = ₹3,500. Losses divide in the same ratio as profits.
Q13.A, B and C invest ₹5,000, ₹6,000 and ₹9,000. If C's share of the profit is ₹4,500, the total profit is:
Moderate- A₹9,000
- B₹10,000
- C₹12,000
- D₹15,000
Partnership question 13 of 20+Show Answer & Explanation
Answer: B. ₹10,000
Explanation: Ratio 5 : 6 : 9, total 20 parts. C's 9 parts = ₹4,500 → 1 part = ₹500 → total = ₹10,000.
Q14.A invests ₹9,000 for the whole year and B ₹12,000 for the last 6 months. The profit ratio is:
Moderate- A1 : 1
- B3 : 2
- C2 : 3
- D4 : 3
Partnership question 14 of 20+Show Answer & Explanation
Answer: B. 3 : 2
Explanation: A: 9,000 × 12 = 1,08,000; B: 12,000 × 6 = 72,000 → 108 : 72 = 3 : 2.
Q15.A and B invest ₹6,000 and ₹9,000 for the same period. Out of a ₹5,000 profit, A's share is:
Easy- A₹1,500
- B₹2,000
- C₹2,500
- D₹3,000
Partnership question 15 of 20+Show Answer & Explanation
Answer: B. ₹2,000
Explanation: Ratio 2 : 3, total 5 parts → A gets 2/5 × 5,000 = ₹2,000.
Q16.A invests ₹10,000 for 6 months and B ₹5,000 for 12 months. Their profit ratio is:
Moderate- A1 : 1
- B2 : 1
- C1 : 2
- D3 : 2
Partnership question 16 of 20+Show Answer & Explanation
Answer: A. 1 : 1
Explanation: A: 10,000 × 6 = 60,000; B: 5,000 × 12 = 60,000 → 1 : 1.
Q17.Three partners share profit in the ratio 4 : 5 : 6. If the total profit is ₹30,000, the largest share is:
Easy- A₹8,000
- B₹10,000
- C₹12,000
- D₹15,000
Partnership question 17 of 20+Show Answer & Explanation
Answer: C. ₹12,000
Explanation: Total 15 parts → largest = 6/15 × 30,000 = ₹12,000.
Q18.A and B invest in the ratio 3 : 4. If B's profit is ₹8,000, A's profit is:
Moderate- A₹5,000
- B₹6,000
- C₹7,000
- D₹9,000
Partnership question 18 of 20+Show Answer & Explanation
Answer: B. ₹6,000
Explanation: A : B = 3 : 4 → A = 8,000 × 3/4 = ₹6,000.
Q19.A starts with ₹15,000 and after 6 months B joins with ₹30,000. At year end their profit ratio is:
Difficult- A1 : 1
- B2 : 1
- C1 : 2
- D3 : 2
Partnership question 19 of 20+Show Answer & Explanation
Answer: A. 1 : 1
Explanation: A: 15,000 × 12 = 1,80,000; B: 30,000 × 6 = 1,80,000 → 1 : 1.
Q20.A, B and C invest ₹4,000, ₹6,000 and ₹10,000. If the total profit is ₹10,000, B receives:
Moderate- A₹2,000
- B₹3,000
- C₹4,000
- D₹5,000
Partnership question 20 of 20+Show Answer & Explanation
Answer: B. ₹3,000
Explanation: Ratio 2 : 3 : 5, total 10 parts → B = 3/10 × 10,000 = ₹3,000.
Partnership — Frequently Asked Questions
How is profit divided when partners invest for different periods?+
Multiply each partner's capital by the number of months it was invested, then divide the profit in the ratio of those products. ₹40,000 for 12 months versus ₹60,000 for 6 months gives 480,000 : 360,000 = 4 : 3.
How do I handle a working partner's commission?+
Subtract the commission from the total profit first. Divide only the remaining profit in the capital ratio, then add the commission back to the working partner's share.
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