100 Partnership Questions and Answers
Practice 100 important Partnership MCQs for SSC, Railway, Banking, Police, Defence and other government competitive exams. Questions cover capital-time ratios, profit sharing and partnership calculations.
1. A invests capital for 7 months and B for 6 months. Their capitals are in the ratio 3:4. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 3×7 : 4×6 = 21:24 = 7:8.
2. A and B share a profit of ₹33,500 in the ratio 32:35. What is A's share?
Total parts = 32+35 = 67. One part is ₹33,500/67 = ₹500. A receives 32 parts, so the share is ₹16,000.
3. A invests capital for 9 months and B for 5 months. Their capitals are in the ratio 5:6. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 5×9 : 6×5 = 45:30 = 3:2.
4. A and B share a profit of ₹6,500 in the ratio 6:7. What is A's share?
Total parts = 6+7 = 13. One part is ₹6,500/13 = ₹500. A receives 6 parts, so the share is ₹3,000.
5. A invests capital for 7 months and B for 7 months. Their capitals are in the ratio 7:3. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 7×7 : 3×7 = 49:21 = 7:3.
6. A and B share a profit of ₹4,500 in the ratio 4:5. What is A's share?
Total parts = 4+5 = 9. One part is ₹4,500/9 = ₹500. A receives 4 parts, so the share is ₹2,000.
7. A invests capital for 9 months and B for 6 months. Their capitals are in the ratio 3:5. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 3×9 : 5×6 = 27:30 = 9:10.
8. A and B share a profit of ₹5,500 in the ratio 4:7. What is A's share?
Total parts = 4+7 = 11. One part is ₹5,500/11 = ₹500. A receives 4 parts, so the share is ₹2,000.
9. A invests capital for 7 months and B for 5 months. Their capitals are in the ratio 5:7. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 5×7 : 7×5 = 35:35 = 1:1.
10. A and B share a profit of ₹5,500 in the ratio 8:3. What is A's share?
Total parts = 8+3 = 11. One part is ₹5,500/11 = ₹500. A receives 8 parts, so the share is ₹4,000.
11. A invests capital for 9 months and B for 7 months. Their capitals are in the ratio 7:4. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 7×9 : 4×7 = 63:28 = 9:4.
12. A and B share a profit of ₹18,500 in the ratio 12:25. What is A's share?
Total parts = 12+25 = 37. One part is ₹18,500/37 = ₹500. A receives 12 parts, so the share is ₹6,000.
13. A invests capital for 7 months and B for 6 months. Their capitals are in the ratio 3:6. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 3×7 : 6×6 = 21:36 = 7:12.
14. A and B share a profit of ₹40,500 in the ratio 32:49. What is A's share?
Total parts = 32+49 = 81. One part is ₹40,500/81 = ₹500. A receives 32 parts, so the share is ₹16,000.
15. A invests capital for 9 months and B for 5 months. Their capitals are in the ratio 5:3. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 5×9 : 3×5 = 45:15 = 3:1.
16. A and B share a profit of ₹2,500 in the ratio 3:2. What is A's share?
Total parts = 3+2 = 5. One part is ₹2,500/5 = ₹500. A receives 3 parts, so the share is ₹1,500.
17. A invests capital for 7 months and B for 7 months. Their capitals are in the ratio 7:5. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 7×7 : 5×7 = 49:35 = 7:5.
18. A and B share a profit of ₹11,500 in the ratio 8:15. What is A's share?
Total parts = 8+15 = 23. One part is ₹11,500/23 = ₹500. A receives 8 parts, so the share is ₹4,000.
19. A invests capital for 9 months and B for 6 months. Their capitals are in the ratio 3:7. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 3×9 : 7×6 = 27:42 = 9:14.
20. A and B share a profit of ₹7,500 in the ratio 8:7. What is A's share?
Total parts = 8+7 = 15. One part is ₹7,500/15 = ₹500. A receives 8 parts, so the share is ₹4,000.
21. A invests capital for 7 months and B for 5 months. Their capitals are in the ratio 5:4. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 5×7 : 4×5 = 35:20 = 7:4.
22. A and B share a profit of ₹6,500 in the ratio 8:5. What is A's share?
Total parts = 8+5 = 13. One part is ₹6,500/13 = ₹500. A receives 8 parts, so the share is ₹4,000.
23. A invests capital for 9 months and B for 7 months. Their capitals are in the ratio 7:6. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 7×9 : 6×7 = 63:42 = 3:2.
24. A and B share a profit of ₹23,500 in the ratio 12:35. What is A's share?
Total parts = 12+35 = 47. One part is ₹23,500/47 = ₹500. A receives 12 parts, so the share is ₹6,000.
25. A invests capital for 7 months and B for 6 months. Their capitals are in the ratio 3:3. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 3×7 : 3×6 = 21:18 = 7:6.
26. A and B share a profit of ₹7,500 in the ratio 8:7. What is A's share?
Total parts = 8+7 = 15. One part is ₹7,500/15 = ₹500. A receives 8 parts, so the share is ₹4,000.
27. A invests capital for 9 months and B for 5 months. Their capitals are in the ratio 5:5. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 5×9 : 5×5 = 45:25 = 9:5.
28. A and B share a profit of ₹1,000 in the ratio 1:1. What is A's share?
Total parts = 1+1 = 2. One part is ₹1,000/2 = ₹500. A receives 1 parts, so the share is ₹500.
29. A invests capital for 7 months and B for 7 months. Their capitals are in the ratio 7:7. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 7×7 : 7×7 = 49:49 = 1:1.
30. A and B share a profit of ₹15,500 in the ratio 16:15. What is A's share?
Total parts = 16+15 = 31. One part is ₹15,500/31 = ₹500. A receives 16 parts, so the share is ₹8,000.
31. A invests capital for 9 months and B for 6 months. Their capitals are in the ratio 3:4. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 3×9 : 4×6 = 27:24 = 9:8.
32. A and B share a profit of ₹29,500 in the ratio 24:35. What is A's share?
Total parts = 24+35 = 59. One part is ₹29,500/59 = ₹500. A receives 24 parts, so the share is ₹12,000.
33. A invests capital for 7 months and B for 5 months. Their capitals are in the ratio 5:6. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 5×7 : 6×5 = 35:30 = 7:6.
34. A and B share a profit of ₹7,500 in the ratio 8:7. What is A's share?
Total parts = 8+7 = 15. One part is ₹7,500/15 = ₹500. A receives 8 parts, so the share is ₹4,000.
35. A invests capital for 9 months and B for 7 months. Their capitals are in the ratio 7:3. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 7×9 : 3×7 = 63:21 = 3:1.
36. A and B share a profit of ₹4,000 in the ratio 3:5. What is A's share?
Total parts = 3+5 = 8. One part is ₹4,000/8 = ₹500. A receives 3 parts, so the share is ₹1,500.
37. A invests capital for 7 months and B for 6 months. Their capitals are in the ratio 3:5. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 3×7 : 5×6 = 21:30 = 7:10.
38. A and B share a profit of ₹18,500 in the ratio 16:21. What is A's share?
Total parts = 16+21 = 37. One part is ₹18,500/37 = ₹500. A receives 16 parts, so the share is ₹8,000.
39. A invests capital for 9 months and B for 5 months. Their capitals are in the ratio 5:7. What is their profit-sharing ratio?
Profit is proportional to capital × time. Thus A:B = 5×9 : 7×5 = 45:35 = 9:7.
40. A and B share a profit of ₹1,500 in the ratio 2:1. What is A's share?
Total parts = 2+1 = 3. One part is ₹1,500/3 = ₹500. A receives 2 parts, so the share is ₹1,000.
41. A and B invest in the ratio 3:9 for the same period. If the total profit is ₹14,400, what is B's share?
The total ratio is 12. One part = ₹14,400/12 = ₹1,200. B has 9 parts, so B's share = 9×₹1,200 = ₹10,800.
42. A and B share profit in the ratio 4:3. If A receives ₹6,400, what is the total profit?
A's 4 parts equal ₹6,400; one part = ₹1,600. Total parts = 7, so total profit = 7×₹1,600 = ₹11,200.
43. A and B invest in the ratio 5:4 for the same period. If the total profit is ₹18,000, what is B's share?
The total ratio is 9. One part = ₹18,000/9 = ₹2,000. B has 4 parts, so B's share = 4×₹2,000 = ₹8,000.
44. A and B share profit in the ratio 6:5. If A receives ₹14,400, what is the total profit?
A's 6 parts equal ₹14,400; one part = ₹2,400. Total parts = 11, so total profit = 11×₹2,400 = ₹26,400.
45. A and B invest in the ratio 7:6 for the same period. If the total profit is ₹10,400, what is B's share?
The total ratio is 13. One part = ₹10,400/13 = ₹800. B has 6 parts, so B's share = 6×₹800 = ₹4,800.
46. A and B share profit in the ratio 8:7. If A receives ₹9,600, what is the total profit?
A's 8 parts equal ₹9,600; one part = ₹1,200. Total parts = 15, so total profit = 15×₹1,200 = ₹18,000.
47. A and B invest in the ratio 9:8 for the same period. If the total profit is ₹27,200, what is B's share?
The total ratio is 17. One part = ₹27,200/17 = ₹1,600. B has 8 parts, so B's share = 8×₹1,600 = ₹12,800.
48. A and B share profit in the ratio 2:9. If A receives ₹4,000, what is the total profit?
A's 2 parts equal ₹4,000; one part = ₹2,000. Total parts = 11, so total profit = 11×₹2,000 = ₹22,000.
49. A and B invest in the ratio 3:3 for the same period. If the total profit is ₹14,400, what is B's share?
The total ratio is 6. One part = ₹14,400/6 = ₹2,400. B has 3 parts, so B's share = 3×₹2,400 = ₹7,200.
50. A and B share profit in the ratio 4:4. If A receives ₹3,200, what is the total profit?
A's 4 parts equal ₹3,200; one part = ₹800. Total parts = 8, so total profit = 8×₹800 = ₹6,400.
51. A and B invest in the ratio 5:5 for the same period. If the total profit is ₹12,000, what is B's share?
The total ratio is 10. One part = ₹12,000/10 = ₹1,200. B has 5 parts, so B's share = 5×₹1,200 = ₹6,000.
52. A and B share profit in the ratio 6:6. If A receives ₹9,600, what is the total profit?
A's 6 parts equal ₹9,600; one part = ₹1,600. Total parts = 12, so total profit = 12×₹1,600 = ₹19,200.
53. A and B invest in the ratio 7:7 for the same period. If the total profit is ₹28,000, what is B's share?
The total ratio is 14. One part = ₹28,000/14 = ₹2,000. B has 7 parts, so B's share = 7×₹2,000 = ₹14,000.
54. A and B share profit in the ratio 8:8. If A receives ₹19,200, what is the total profit?
A's 8 parts equal ₹19,200; one part = ₹2,400. Total parts = 16, so total profit = 16×₹2,400 = ₹38,400.
55. A and B invest in the ratio 9:9 for the same period. If the total profit is ₹14,400, what is B's share?
The total ratio is 18. One part = ₹14,400/18 = ₹800. B has 9 parts, so B's share = 9×₹800 = ₹7,200.
56. A and B share profit in the ratio 2:3. If A receives ₹2,400, what is the total profit?
A's 2 parts equal ₹2,400; one part = ₹1,200. Total parts = 5, so total profit = 5×₹1,200 = ₹6,000.
57. A and B invest in the ratio 3:4 for the same period. If the total profit is ₹11,200, what is B's share?
The total ratio is 7. One part = ₹11,200/7 = ₹1,600. B has 4 parts, so B's share = 4×₹1,600 = ₹6,400.
58. A and B share profit in the ratio 4:5. If A receives ₹8,000, what is the total profit?
A's 4 parts equal ₹8,000; one part = ₹2,000. Total parts = 9, so total profit = 9×₹2,000 = ₹18,000.
59. A and B invest in the ratio 5:6 for the same period. If the total profit is ₹26,400, what is B's share?
The total ratio is 11. One part = ₹26,400/11 = ₹2,400. B has 6 parts, so B's share = 6×₹2,400 = ₹14,400.
60. A and B share profit in the ratio 6:7. If A receives ₹4,800, what is the total profit?
A's 6 parts equal ₹4,800; one part = ₹800. Total parts = 13, so total profit = 13×₹800 = ₹10,400.
61. A and B invest in the ratio 7:8 for the same period. If the total profit is ₹18,000, what is B's share?
The total ratio is 15. One part = ₹18,000/15 = ₹1,200. B has 8 parts, so B's share = 8×₹1,200 = ₹9,600.
62. A and B share profit in the ratio 8:9. If A receives ₹12,800, what is the total profit?
A's 8 parts equal ₹12,800; one part = ₹1,600. Total parts = 17, so total profit = 17×₹1,600 = ₹27,200.
63. A and B invest in the ratio 9:3 for the same period. If the total profit is ₹24,000, what is B's share?
The total ratio is 12. One part = ₹24,000/12 = ₹2,000. B has 3 parts, so B's share = 3×₹2,000 = ₹6,000.
64. A and B share profit in the ratio 2:4. If A receives ₹4,800, what is the total profit?
A's 2 parts equal ₹4,800; one part = ₹2,400. Total parts = 6, so total profit = 6×₹2,400 = ₹14,400.
65. A and B invest in the ratio 3:5 for the same period. If the total profit is ₹6,400, what is B's share?
The total ratio is 8. One part = ₹6,400/8 = ₹800. B has 5 parts, so B's share = 5×₹800 = ₹4,000.
66. A and B share profit in the ratio 4:6. If A receives ₹4,800, what is the total profit?
A's 4 parts equal ₹4,800; one part = ₹1,200. Total parts = 10, so total profit = 10×₹1,200 = ₹12,000.
67. A and B invest in the ratio 5:7 for the same period. If the total profit is ₹19,200, what is B's share?
The total ratio is 12. One part = ₹19,200/12 = ₹1,600. B has 7 parts, so B's share = 7×₹1,600 = ₹11,200.
68. A and B share profit in the ratio 6:8. If A receives ₹12,000, what is the total profit?
A's 6 parts equal ₹12,000; one part = ₹2,000. Total parts = 14, so total profit = 14×₹2,000 = ₹28,000.
69. A and B invest in the ratio 7:9 for the same period. If the total profit is ₹38,400, what is B's share?
The total ratio is 16. One part = ₹38,400/16 = ₹2,400. B has 9 parts, so B's share = 9×₹2,400 = ₹21,600.
70. A and B share profit in the ratio 8:3. If A receives ₹6,400, what is the total profit?
A's 8 parts equal ₹6,400; one part = ₹800. Total parts = 11, so total profit = 11×₹800 = ₹8,800.
71. A and B share profit in the ratio 5:16. If B receives ₹9,600, what is A's share?
B's 16 parts equal ₹9,600, so one part = ₹600. A has 5 parts, giving A's share as ₹3,000.
72. A invests ₹4,000 for 6 months and B invests ₹3,000 for 5 months. What is their profit ratio?
Use capital × time: A = ₹4,000×6 = 24000; B = ₹3,000×5 = 15000. Simplifying 24000:15000 gives 8:5.
73. A and B share profit in the ratio 35:24. If the total profit is ₹35,400, what is A's share?
Total parts = 59. One part = ₹35,400/59 = ₹600. A receives 35 parts, so A's share is ₹21,000.
74. A and B share profit in the ratio 48:35. If B receives ₹21,000, what is A's share?
B's 35 parts equal ₹21,000, so one part = ₹600. A has 48 parts, giving A's share as ₹28,800.
75. A invests ₹2,000 for 4 months and B invests ₹6,000 for 8 months. What is their profit ratio?
Use capital × time: A = ₹2,000×4 = 8000; B = ₹6,000×8 = 48000. Simplifying 8000:48000 gives 1:6.
76. A and B share profit in the ratio 1:1. If the total profit is ₹1,200, what is A's share?
Total parts = 2. One part = ₹1,200/2 = ₹600. A receives 1 parts, so A's share is ₹600.
77. A and B share profit in the ratio 1:1. If B receives ₹600, what is A's share?
B's 1 parts equal ₹600, so one part = ₹600. A has 1 parts, giving A's share as ₹600.
78. A invests ₹5,000 for 7 months and B invests ₹5,000 for 7 months. What is their profit ratio?
Use capital × time: A = ₹5,000×7 = 35000; B = ₹5,000×7 = 35000. Simplifying 35000:35000 gives 1:1.
79. A and B share profit in the ratio 1:1. If the total profit is ₹1,200, what is A's share?
Total parts = 2. One part = ₹1,200/2 = ₹600. A receives 1 parts, so A's share is ₹600.
80. A and B share profit in the ratio 8:15. If B receives ₹9,000, what is A's share?
B's 15 parts equal ₹9,000, so one part = ₹600. A has 8 parts, giving A's share as ₹4,800.
81. A invests ₹3,000 for 5 months and B invests ₹4,000 for 6 months. What is their profit ratio?
Use capital × time: A = ₹3,000×5 = 15000; B = ₹4,000×6 = 24000. Simplifying 15000:24000 gives 5:8.
82. A and B share profit in the ratio 24:35. If the total profit is ₹35,400, what is A's share?
Total parts = 59. One part = ₹35,400/59 = ₹600. A receives 24 parts, so A's share is ₹14,400.
83. A and B share profit in the ratio 35:48. If B receives ₹28,800, what is A's share?
B's 48 parts equal ₹28,800, so one part = ₹600. A has 35 parts, giving A's share as ₹21,000.
84. A invests ₹6,000 for 8 months and B invests ₹3,000 for 5 months. What is their profit ratio?
Use capital × time: A = ₹6,000×8 = 48000; B = ₹3,000×5 = 15000. Simplifying 48000:15000 gives 16:5.
85. A and B share profit in the ratio 1:3. If the total profit is ₹2,400, what is A's share?
Total parts = 4. One part = ₹2,400/4 = ₹600. A receives 1 parts, so A's share is ₹600.
86. A and B share profit in the ratio 3:7. If B receives ₹4,200, what is A's share?
B's 7 parts equal ₹4,200, so one part = ₹600. A has 3 parts, giving A's share as ₹1,800.
87. A invests ₹4,000 for 6 months and B invests ₹6,000 for 8 months. What is their profit ratio?
Use capital × time: A = ₹4,000×6 = 24000; B = ₹6,000×8 = 48000. Simplifying 24000:48000 gives 1:2.
88. A and B share profit in the ratio 7:3. If the total profit is ₹6,000, what is A's share?
Total parts = 10. One part = ₹6,000/10 = ₹600. A receives 7 parts, so A's share is ₹4,200.
89. A and B share profit in the ratio 2:1. If B receives ₹600, what is A's share?
B's 1 parts equal ₹600, so one part = ₹600. A has 2 parts, giving A's share as ₹1,200.
90. A invests ₹2,000 for 4 months and B invests ₹5,000 for 7 months. What is their profit ratio?
Use capital × time: A = ₹2,000×4 = 8000; B = ₹5,000×7 = 35000. Simplifying 8000:35000 gives 8:35.
91. A and B share profit in the ratio 5:16. If the total profit is ₹12,600, what is A's share?
Total parts = 21. One part = ₹12,600/21 = ₹600. A receives 5 parts, so A's share is ₹3,000.
92. A and B share profit in the ratio 8:5. If B receives ₹3,000, what is A's share?
B's 5 parts equal ₹3,000, so one part = ₹600. A has 8 parts, giving A's share as ₹4,800.
93. A invests ₹5,000 for 7 months and B invests ₹4,000 for 6 months. What is their profit ratio?
Use capital × time: A = ₹5,000×7 = 35000; B = ₹4,000×6 = 24000. Simplifying 35000:24000 gives 35:24.
94. A and B share profit in the ratio 48:35. If the total profit is ₹49,800, what is A's share?
Total parts = 83. One part = ₹49,800/83 = ₹600. A receives 48 parts, so A's share is ₹28,800.
95. A and B share profit in the ratio 1:6. If B receives ₹3,600, what is A's share?
B's 6 parts equal ₹3,600, so one part = ₹600. A has 1 parts, giving A's share as ₹600.
96. A invests ₹3,000 for 5 months and B invests ₹3,000 for 5 months. What is their profit ratio?
Use capital × time: A = ₹3,000×5 = 15000; B = ₹3,000×5 = 15000. Simplifying 15000:15000 gives 1:1.
97. A and B share profit in the ratio 1:1. If the total profit is ₹1,200, what is A's share?
Total parts = 2. One part = ₹1,200/2 = ₹600. A receives 1 parts, so A's share is ₹600.
98. A and B share profit in the ratio 1:1. If B receives ₹600, what is A's share?
B's 1 parts equal ₹600, so one part = ₹600. A has 1 parts, giving A's share as ₹600.
99. A invests ₹6,000 for 8 months and B invests ₹6,000 for 8 months. What is their profit ratio?
Use capital × time: A = ₹6,000×8 = 48000; B = ₹6,000×8 = 48000. Simplifying 48000:48000 gives 1:1.
100. A and B share profit in the ratio 8:15. If the total profit is ₹13,800, what is A's share?
Total parts = 23. One part = ₹13,800/23 = ₹600. A receives 8 parts, so A's share is ₹4,800.
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