Here we are with a curated set of 51 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.
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51 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 1. 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 2. 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 3. 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 4. 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 5. 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 6. 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 7. 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 8. 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 9. 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 10. 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 11. 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 12. 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 13. 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 14. 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 15. 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 16. 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 1. 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.
Question 2. 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 3. 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 4. 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 5. 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 6. 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 7. 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 8. 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 9. 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 10. 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 11. 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 12. 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 13. 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 14. 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 15. 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 16. 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:
a) I alone sufficient — Same time implied by profit ratio definition here; capital ratio = profit ratio.
Question 17. 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 18. 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.
