Here we are with a curated set of 50 Partnership Aptitude Questions and Answers. These questions cover everything from basic profit sharing to complex time-weighted investments. Each question comes with a clear answer and a quick explanation to help you understand the logic behind it. These questions are apt for you if you are preparing for a competitive exam or brushing up on your math skills.
If you want to check out our other aptitude tests on other topics here is the link – aptitude question and answers.
Partnership Formulas
Simple partnership, when the time is the same for everyone
Profit is shared in the ratio of the investments.
Profit ratio of A and B = Investment of A : Investment of B
Compound partnership, when the time is different
Profit is shared in the ratio of the capital multiplied by the time.
Profit ratio of A and B = (Investment of A × Months of A) : (Investment of B × Months of B)
This product is called the capital month. Everything in the chapter comes out of it.
Finding a partner’s share
Share of a partner = Total profit × (His ratio term ÷ Sum of all ratio terms)
When a partner withdraws or adds money in between
Split his investment period into parts and add up the capital months.
So if A puts in 5000 for 4 months and then 8000 for the next 8 months, his capital month = (5000 × 4) + (8000 × 8) = 84000
Common Partnership Mistakes to Avoid
Using capital ratio when the times differ
Capital ratio equals profit ratio only when everyone invests for the same time.
If the periods differ, use capital × time (the capital-month) for each partner.
Forgetting to split the period after a withdrawal or addition
If A puts in ₹5,000 for 4 months and then ₹8,000 for 8 months, add the parts: (5,000 × 4) + (8,000 × 8). Do not use just the final amount for the whole year.
Splitting the wrong amount after salary, commission or interest
Pay out salary, commission or interest on capital first, then share only the remaining profit in the agreed ratio. Add the salary or commission back to that partner’s share at the end.
Sharing the whole profit when charity is deducted
When part of the profit goes to charity, split the remaining profit, not the total. So with 15% to charity, partners share 0.85 of the profit.
Mixing up sacrifice and gain ratio at admission or retirement
On admission, old partners give up a share (sacrifice ratio). On retirement, remaining partners gain a share (gain ratio). Track which partner loses or gains before writing the new ratio.
Treating loss sharing differently from profit
Unless told otherwise, losses are shared in the same ratio as profits.
50 Partnership Aptitude Questions and Answers (Solved MCQs)
Question 1. A and B invest in a business in the ratio 2 : 3. If the total profit is ₹18,000, A’s share is:
a) ₹6,000
b) ₹7,200
c) ₹9,000
d) ₹10,800
Answer:
b) ₹7,200 — A’s share = 2/5 of ₹18,000.
Question 2. A invests ₹40,000 and B invests ₹60,000 for the same time. If the profit is ₹25,000, B’s share is:
a) ₹10,000
b) ₹12,500
c) ₹15,000
d) ₹18,000
Answer:
c) ₹15,000 — Ratio = 40,000 : 60,000 = 2 : 3, so B gets 3/5 of profit.
Question 3. A, B and C invest ₹30,000, ₹45,000 and ₹75,000 for the same time. If profit is ₹30,000, C’s share is:
a) ₹9,000
b) ₹12,000
c) ₹15,000
d) ₹18,000
Answer:
c) ₹15,000 — Ratio = 30:45:75 = 2:3:5; C gets 5/10 of profit.
Question 4. A and B share profits in the ratio 5 : 7. If the total profit is ₹36,960, A’s share is:
a) ₹14,000
b) ₹15,400
c) ₹16,800
d) ₹21,560
Answer:
b) ₹15,400 — Total parts = 12; 36,960 ÷ 12 = 3,080; A = 5 × 3,080.
Question 5. A invests ₹48,000 and B invests ₹32,000 for the same time. If profit is ₹20,000, A’s share is:
a) ₹8,000
b) ₹10,000
c) ₹12,000
d) ₹14,000
Answer:
c) ₹12,000 — Ratio = 48:32 = 3:2; A gets 3/5 of profit.
Question 6. A’s share in profit is ₹9,600 out of total profit ₹24,000. The profit-sharing ratio A : B is:
a) 2 : 3
b) 3 : 2
c) 4 : 5
d) 5 : 4
Answer:
a) 2 : 3 — A fraction = 9,600/24,000 = 2/5.
Question 7. A and B share profits in the ratio 5 : 3. If A invested ₹25,000, B invested:
a) ₹12,000
b) ₹15,000
c) ₹18,000
d) ₹20,000
Answer:
b) ₹15,000 — Same time, so capital ratio = profit ratio; 5 parts = 25,000 ⇒ 1 part = 5,000 ⇒ B = 3 parts.
Question 8. Total profit is ₹54,000 and A gets ₹18,000. The ratio A : B is:
a) 1 : 2
b) 2 : 1
c) 1 : 3
d) 3 : 1
Answer:
a) 1 : 2 — A gets 1/3 of profit.
Question 9. If 10% of total profit goes to charity and the remaining profit is ₹27,000 shared by A and B in ratio 3 : 2, then A’s share is:
a) ₹14,000
b) ₹15,000
c) ₹16,200
d) ₹18,000
Answer:
c) ₹16,200 — Distributable = ₹27,000; A share = 3/5 of ₹27,000.
Question 10. A, B, C share profit in ratio 1 : 2 : 3. If total profit is ₹42,000, B’s share is:
a) ₹7,000
b) ₹12,000
c) ₹14,000
d) ₹21,000
Answer:
c) ₹14,000 — Total parts = 6; B = 2/6 of profit.
Question 11. A and B share profit ₹28,000 such that B gets ₹16,000. Ratio A : B is:
a) 3 : 4
b) 4 : 3
c) 5 : 2
d) 2 : 5
Answer:
a) 3 : 4 — A = 12,000 and B = 16,000.
Question 12. A and B share profits in ratio 3 : 2. If A gets ₹15,000, total profit is:
a) ₹20,000
b) ₹22,000
c) ₹25,000
d) ₹30,000
Answer:
c) ₹25,000 — 3 parts = 15,000 ⇒ 1 part = 5,000 ⇒ total 5 parts.
Question 13. A, B, C invest ₹18,000, ₹24,000, ₹30,000 for same time. If profit is ₹18,000, A’s share is:
a) ₹3,600
b) ₹4,500
c) ₹5,000
d) ₹6,000
Answer:
b) ₹4,500 — Total capital = 72,000; A fraction = 18/72 = 1/4.
Question 14. A and B invest ₹15,000 and ₹25,000. After 6 months, A withdraws ₹5,000. Total profit after 1 year is ₹18,000. B’s share is:
a) ₹9,000
b) ₹10,000
c) ₹12,000
d) ₹13,500
Answer:
c) ₹12,000 — A time-capital = 15k×6 + 10k×6 = 150k; B = 25k×12 = 300k; ratio 1:2.
Question 15. A and B invest ₹50,000 and ₹70,000 for the same time. If profit is ₹48,000, the difference between their shares is:
a) ₹6,000
b) ₹8,000
c) ₹10,000
d) ₹12,000
Answer:
b) ₹8,000 — Ratio 5:7 ⇒ shares 20,000 and 28,000.
Question 16. A, B, C share profits in ratio 8 : 5 : 3. If C gets ₹3,600, total profit is:
a) ₹12,000
b) ₹18,000
c) ₹19,200
d) ₹24,000
Answer:
c) ₹19,200 — Total parts = 16; 3 parts = 3,600 ⇒ 1 part = 1,200.
Question 17. A’s share is ₹8,400 and A : B = 7 : 8. Total profit is:
a) ₹16,800
b) ₹18,000
c) ₹19,200
d) ₹21,000
Answer:
b) ₹18,000 — 7 parts = 8,400 ⇒ 1 part = 1,200 ⇒ total 15 parts.
Question 18. A invests ₹30,000 for 6 months, then adds ₹10,000 for the next 6 months. B invests ₹40,000 for 12 months. Profit is ₹30,000. A’s share is:
a) ₹12,000
b) ₹13,000
c) ₹14,000
d) ₹16,000
Answer:
c) ₹14,000 — A = 30k×6 + 40k×6 = 420k; B = 40k×12 = 480k ⇒ 7:8.
Question 19. A invests ₹50,000 for 9 months and B invests ₹60,000 for 6 months. Profit is ₹36,000. A’s share is:
a) ₹16,000
b) ₹18,000
c) ₹20,000
d) ₹24,000
Answer:
c) ₹20,000 — Ratio = 50×9 : 60×6 = 450 : 360 = 5 : 4.
Question 20. A invested ₹12,000 for 12 months. B invested ₹8,000 starting after 3 months (i.e., for 9 months). Total profit is ₹21,000. A’s share is:
a) ₹7,000
b) ₹10,500
c) ₹14,000
d) ₹16,000
Answer:
c) ₹14,000 — Ratio = 12k×12 : 8k×9 = 144 : 72 = 2 : 1.
Question 21. A and B invest equal amounts. A invests for 12 months and B invests for 9 months. Total profit is ₹14,000. A’s share is:
a) ₹6,000
b) ₹7,000
c) ₹8,000
d) ₹9,000
Answer:
c) ₹8,000 — Ratio = 12 : 9 = 4 : 3.
Question 22. A invests ₹25,000 for 4 months and then withdraws completely. B invests ₹15,000 for 12 months. Total profit is ₹28,000. B’s share is:
a) ₹16,000
b) ₹18,000
c) ₹20,000
d) ₹22,000
Answer:
b) ₹18,000 — Ratio = 25×4 : 15×12 = 100 : 180 = 5 : 9.
Question 23. A invests ₹40,000 for 10 months, B invests ₹50,000 for 8 months, and C invests ₹60,000 for 6 months. Profit is ₹58,000. C’s share is:
a) ₹16,000
b) ₹18,000
c) ₹20,000
d) ₹22,000
Answer:
b) ₹18,000 — Ratio = 400 : 400 : 360 = 10 : 10 : 9.
Question 24. A invests ₹18,000 for 12 months. B invests ₹12,000 for x months. If profit ratio A : B is 3 : 2, x is:
a) 6
b) 8
c) 10
d) 12
Answer:
d) 12 — 18×12 : 12×x = 3 : 2 ⇒ 18 : x = 3 : 2 ⇒ x = 12.
Question 25. A invests ₹24,000 for 12 months. B joins after 4 months with ₹36,000 (for 8 months). Total profit is ₹30,000. B’s share is:
a) ₹10,000
b) ₹12,000
c) ₹15,000
d) ₹18,000
Answer:
c) ₹15,000 — A = 24×12 = 288; B = 36×8 = 288 ⇒ 1:1.
Question 26. A starts with ₹16,000; after 3 months adds ₹8,000. B starts with ₹24,000; after 6 months withdraws ₹6,000. Total profit is ₹43,000. A’s share is:
a) ₹20,000
b) ₹21,000
c) ₹22,000
d) ₹23,000
Answer:
c) ₹22,000 — A = 16×3 + 24×9 = 264; B = 24×6 + 18×6 = 252 ⇒ 22:21.
Question 27. A invests ₹30,000 for 12 months. B invests ₹45,000 for first 6 months and then adds ₹15,000 for next 6 months. Total profit is ₹33,000. B’s share is:
a) ₹18,000
b) ₹21,000
c) ₹24,000
d) ₹27,000
Answer:
b) ₹21,000 — A = 30×12 = 360; B = 45×6 + 60×6 = 630 ⇒ 4:7.
Question 28. A invests ₹10,000; after 4 months withdraws ₹2,000. B invests ₹12,000; after 6 months adds ₹3,000. C invests ₹15,000 for 12 months. Total profit is ₹22,300. C’s share is:
a) ₹7,500
b) ₹8,100
c) ₹9,000
d) ₹10,200
Answer:
c) ₹9,000 — A = 10×4 + 8×8 = 104; B = 12×6 + 15×6 = 162; C = 15×12 = 180 ⇒ 52:81:90.
Question 29. A invests ₹15,000 for 12 months and B invests ₹20,000 for 9 months. If A gets ₹10,000, total profit is:
a) ₹18,000
b) ₹20,000
c) ₹22,000
d) ₹25,000
Answer:
b) ₹20,000 — A = 15×12 = 180; B = 20×9 = 180 ⇒ 1:1.
Question 30. A and B invest in ratio 3 : 5. A withdraws 1/3 of his capital after 6 months. Total profit is ₹30,000. B’s share is:
a) ₹18,000
b) ₹20,000
c) ₹22,000
d) ₹24,000
Answer:
b) ₹20,000 — Take A=30k, B=50k. A time = 30×6 + 20×6 = 300; B = 50×12 = 600 ⇒ 1:2.
Question 31. A invests ₹50,000 for 12 months. B invests ₹60,000 for 12 months but receives salary ₹2,000 per month. Total profit is ₹90,000. B’s total receipt is:
a) ₹54,000
b) ₹58,000
c) ₹60,000
d) ₹66,000
Answer:
c) ₹60,000 — Salary = 24,000; remaining = 66,000 split 5:6 ⇒ B share = 36,000; total = 36,000 + 24,000.
Question 32. B’s capital is 3 times A’s capital, but B invests for 4 months only. If profits are equal, A invested for:
a) 6 months
b) 8 months
c) 10 months
d) 12 months
Answer:
d) 12 months — Equal share ⇒ A×tA = 3A×4 ⇒ tA = 12.
Question 33. A invests ₹20,000 for 12 months and B invests ₹25,000 for 8 months. Total profit is ₹22,000. A’s share is:
a) ₹10,000
b) ₹12,000
c) ₹14,000
d) ₹16,000
Answer:
b) ₹12,000 — Ratio = 20k×12 : 25k×8 = 240 : 200 = 6 : 5.
Question 34. A and B invest ₹80,000 and ₹60,000 for same time. Interest on capital is 5% per annum. Total profit is ₹56,000. Remaining profit is shared in ratio of capitals. A’s total receipt is:
a) ₹28,000
b) ₹30,000
c) ₹32,000
d) ₹35,000
Answer:
c) ₹32,000 — Interest: A=4,000 B=3,000; remaining = 49,000; split 4:3 ⇒ A gets 28,000; total = 28,000 + 4,000.
Question 35. A, B, C share profit in ratio 2 : 3 : 5. B receives salary ₹1,000 per month. Total profit is ₹60,000. B’s total receipt is:
a) ₹14,400
b) ₹24,000
c) ₹26,400
d) ₹30,000
Answer:
c) ₹26,400 — Salary = 12,000; remaining = 48,000; B share = 3/10 of 48,000 = 14,400; total = 26,400.
Question 36. A and B share profits in ratio 3 : 2. A new partner D is admitted for 1/5 share purchased equally from A and B. New ratio A : B : D is:
a) 6 : 4 : 2
b) 5 : 3 : 2
c) 3 : 2 : 1
d) 4 : 3 : 3
Answer:
b) 5 : 3 : 2 — D’s 1/5 = 2/10 taken 1/10 each from A and B.
Question 37. A and B share profits 5 : 3. C is admitted for 1/4 share purchased only from B. New ratio A : B : C is:
a) 5 : 2 : 1
b) 5 : 1 : 2
c) 4 : 1 : 3
d) 3 : 2 : 3
Answer:
b) 5 : 1 : 2 — Old A=5/8, B=3/8; C gets 2/8 from B ⇒ B=1/8.
Question 38. A, B, C share profits 4 : 3 : 2. B retires and A and C take B’s share in ratio 1 : 2. New ratio A : C is:
a) 5 : 4
b) 6 : 5
c) 7 : 6
d) 8 : 7
Answer:
a) 5 : 4 — A becomes 4 + 1 = 5; C becomes 2 + 2 = 4.
Question 39. A, B, C share profits 6 : 5 : 4. A retires. B and C agree to share profits in ratio 3 : 2. Gain ratio of B : C is:
a) 1 : 1
b) 2 : 1
c) 3 : 2
d) 4 : 3
Answer:
b) 2 : 1 — Old B=5/15, new=3/5; old C=4/15, new=2/5.
Question 40. A, B, C invest ₹40,000, ₹30,000, ₹20,000. After 6 months A adds ₹10,000 and B withdraws ₹10,000. Total profit is ₹54,000. A’s share is:
a) ₹24,000
b) ₹27,000
c) ₹30,000
d) ₹33,000
Answer:
b) ₹27,000 — Time-capitals: A=40×6+50×6=540; B=30×6+20×6=300; C=20×12=240 ⇒ 9:5:4.
Question 41. A and B invest equal amounts, but A gets 20% commission on total profit. Total profit is ₹45,000. A’s total receipt is:
a) ₹18,000
b) ₹22,500
c) ₹27,000
d) ₹30,000
Answer:
c) ₹27,000 — Commission = 9,000; remaining 36,000 split equally ⇒ A gets 18,000 + 9,000.
Question 42. A : B : C = 4 : 5 : 3. If A’s share is ₹7,200, total profit is:
a) ₹18,000
b) ₹20,000
c) ₹21,600
d) ₹24,000
Answer:
c) ₹21,600 — 4 parts = 7,200 ⇒ 1 part = 1,800 ⇒ total 12 parts.
Question 43. A, B, C invest ₹30,000, ₹40,000, ₹50,000 for same time. 15% of total profit goes to charity. Remaining profit is shared in ratio of investments. If A gets ₹10,200, total profit is:
a) ₹40,000
b) ₹45,000
c) ₹48,000
d) ₹60,000
Answer:
c) ₹48,000 — A fraction = 30/120 = 1/4. So 0.85P × 1/4 = 10,200 ⇒ P = 48,000.
Question 44. A invested ₹18,000 for 12 months. B invested ₹24,000 and got ₹8,000 when total profit was ₹20,000. B joined after:
a) 3 months
b) 4 months
c) 6 months
d) 8 months
Answer:
c) 6 months — Profit ratio A:B = 12,000:8,000 = 3:2. So 18×12 : 24×(12−m) = 3:2 ⇒ m = 6.
Question 45. A, B, C share losses in ratio 3 : 2 : 5. If total loss is ₹20,000, B’s loss share is:
a) ₹3,000
b) ₹4,000
c) ₹5,000
d) ₹6,000
Answer:
b) ₹4,000 — B gets 2/10 of loss.
Question 46. A and B share profits equally, but capitals are in ratio 3 : 2. A gets salary ₹2,000 per month. Total profit is ₹72,000. A’s total receipt is:
a) ₹48,000
b) ₹50,000
c) ₹52,800
d) ₹56,000
Answer:
c) ₹52,800 — Salary = 24,000; remaining 48,000 split 3:2 ⇒ A gets 28,800; total = 52,800.
Question 47. A and B share profit in ratio 5 : 4. A invested ₹30,000 for 12 months. B invested for 8 months. B’s investment was:
a) ₹32,000
b) ₹34,000
c) ₹36,000
d) ₹40,000
Answer:
c) ₹36,000 — 30×12 : x×8 = 5:4 ⇒ x = 36.
Question 48. DATA SUFFICIENCY: Find the ratio of capitals A : B.
I. Profit ratio A : B is 7 : 5.
II. Both invested for the same time.
a) I alone sufficient
b) II alone sufficient
c) Both together sufficient, neither alone
d) Even together not sufficient
Answer:
c) Both together sufficient, neither alone – Capital ratio = profit ratio only when time is equal. I gives the profit ratio (7:5); II confirms equal time. Together, capital ratio = 7:5. Neither works alone.
Question 49. A invests ₹40,000; after 3 months withdraws ₹10,000; after next 5 months adds ₹20,000. B invests ₹50,000 for 12 months. Total profit is ₹21,400. B’s share is:
a) ₹9,400
b) ₹10,000
c) ₹12,000
d) ₹14,000
Answer:
c) ₹12,000 — A = 40×3 + 30×5 + 50×4 = 470; B = 50×12 = 600 ⇒ 47:60.
Question 50. A and B share profits 3 : 2. C is admitted for 1/5 share and pays premium ₹10,000, shared by A and B in old ratio. Total profit is ₹50,000. A’s total receipt (profit + premium) is:
a) ₹24,000
b) ₹26,000
c) ₹28,000
d) ₹30,000
Answer:
d) ₹30,000 — New ratio A:B:C = 12:8:5. A profit = 50,000×12/25 = 24,000; premium share = 10,000×3/5 = 6,000.
Question 51. A and B invest ₹60,000 and ₹40,000. A is a managing partner and gets 10% commission on total profit. Total profit is ₹55,000. A’s total receipt is:
a) ₹33,000
b) ₹35,200
c) ₹37,500
d) ₹40,000
Answer:
b) ₹35,200 — Commission = 5,500; remaining 49,500 split 3:2 ⇒ A = 29,700; total = 29,700 + 5,500.
Aptitude Questions and Answers for other topics
| Number system and series | ||
|---|---|---|
| HCF and LCM | Simplification | Number Series |
| Interest and commercial maths | ||
| Percentage | Profit and Loss | Compound Interest |
| Partnership | ||
| Ratio, average and mixture | ||
| Ratio and Proportion | Alligation or Mixture | Problems on Ages |
| Speed, time and distance | ||
| Time and Distance | Problems on Trains | Boats and Streams |
| Work and rate | ||
| Time and Work | Pipes and Cistern | |
| Mensuration | ||
| Volume and Surface Area | Height and Distance | |
| Permutation and probability | ||
| Permutation and Combination | Probability | |
| Calendar and clock | ||
| Calendar | Clock | |
