SSC CGL Partnership MCQs with detailed solutions, shortcut tricks, and Tier-II-level questions. Practice capital-time ratios, profit sharing, changing investments, and advanced partnership problems.
SSC CGL Partnership MCQs
1. A and B start a business by investing ₹24,000 and ₹36,000, respectively. If A invests for 8 months and B invests for 6 months, what is the ratio of their profits?
A. 8 : 9 B. 16 : 18
C. 8 : 9 D. 4 : 5
Correct Answer: A. 8 : 9
Explanation:
Profit is proportional to capital × time
A’s profit ratio = 24,000 × 8 = 192,000
B’s profit ratio = 36,000 × 6 = 216,000
∴ A : B = 192,000 : 216,000 = 8 : 9
2. A and B invest in a business in the ratio 5 : 7. A invests for 12 months, and B invests for 10 months. If B’s share of profit is ₹4,200, what is A’s share?
A. ₹ 3,000 B. ₹ 3,200
C. ₹ 3,600 D. ₹ 4,000
Correct Answer: C. ₹ 3,600
Explanation:
Profit ratio = Capital × Time
A : B = 5 × 12 : 7 × 10
= 60 : 70
= 6 : 7
B gets ₹4,200 for 7 parts.
A’s share = 4,200 × 6/7 = ₹3,600
3. A invests ₹50,000 for 6 months, B invests ₹40,000 for 9 months, and C invests ₹60,000 for 5 months. Find their profit-sharing ratio.
A. 5 : 6 : 5 B. 5 : 6 : 4
C. 10 : 12 : 10 D. 25 : 36 : 30
Correct Answer: A. 5 : 6 : 5
Explanation:
Profit ratio = Capital × Time
A = 50,000 × 6 = 300,000
B = 40,000 × 9 = 360,000
C = 60,000 × 5 = 300,000
Ratio = 300 : 360 : 300
= 5 : 6 : 5
4. A starts a business with ₹40,000. After 4 months, B joins with ₹60,000. At the end of the year, the total profit is ₹18,000. Find B’s share.
A. ₹ 8,000 B. ₹ 9,000
C. ₹10,000 D. ₹ 12,000
Correct Answer: C. ₹ 10,000
Explanation:
A invests for 12 months.
A’s investment-time = 40,000 × 12 = 480,000
B joins after 4 months, so B invests for 8 months:
B’s investment-time = 60,000 × 8 = 480,000
Profit ratio = 1 : 1
B’s share = 18,000 ÷ 2 = ₹9,000
Therefore, the correct answer is actually B, ₹9,000.
Profits are equal.
5. A and B start a business with investments of ₹30,000 and ₹40,000, respectively. A remains in the business for 12 months, while B leaves after 9 months. If the total profit is ₹11,700, find A’s share.
A. ₹ 5,400 B. ₹ 6,000
C. ₹ 5,850 D. ₹ 7,200
Correct Answer: C. ₹ 5,850
Explanation:
A’s capital-time = 30,000 × 12 = 360,000
B’s capital-time = 40,000 × 9 = 360,000
Profit ratio = 1 : 1.
Thus, A’s share = ₹11,700 ÷ 2 = ₹5,850.
∴ none of the given options is correct.
SSC CGL Partnership MCQs
6. A, B, and C invest ₹20,000, ₹30,000, and ₹40,000, respectively, for 12, 8, and 6 months. If A receives ₹4,000 as profit, find the total profit.
A. ₹ 10,000 B. ₹ 12,000
C. ₹ 15,000 D. ₹ 18,000
Correct Answer: B. ₹ 12,000
Explanation:
A = 20,000 × 12 = 240,000
B = 30,000 × 8 = 240,000
C = 40,000 × 6 = 240,000
Therefore, profit ratio = 1 : 1 : 1.
A receives ₹4,000, so total profit = 4,000 × 3 = ₹ 12,000.
7. A and B invest ₹60,000 and ₹90,000, respectively. A manages the business and receives 20% of the total profit as salary. The remaining profit is divided according to their investments. If the total profit is ₹30,000, find A’s total earnings.
A. ₹ 14,500 B. ₹ 15,600
C. ₹ 13,600 D. ₹ 16,000
Correct Answer: B. ₹ 15,600
Explanation:
A’s salary = 20% of ₹30,000 = ₹6,000.
Remaining profit = ₹30,000 − ₹6,000 = ₹24,000.
Investment ratio = 60,000 : 90,000 = 2 : 3.
A’s share = 24,000 × 2/5 = ₹9,600.
A’s total earnings = 9,600 + 6,000 = ₹15,600.
8. A invests ₹50,000 for the first 6 months and increases his investment to ₹80,000 for the remaining 6 months. B invests ₹70,000 throughout the year. Find the ratio of their profits.
A. 10 : 11 B. 11 : 14
C. 13 : 14 D. 14 : 13
Correct Answer: C. 13 : 14
Explanation:
A’s effective investment:
50,000 × 6 + 80,000 × 6
= 300,000 + 480,000
= 780,000
B’s effective investment:
70,000 × 12 = 840,000
Profit ratio = 780 : 840 = 13 : 14
9. A invests ₹80,000 initially and withdraws ₹20,000 after 6 months. B invests ₹60,000 throughout the year. Find the ratio of their profits.
A. 11 : 12 B. 14 : 15
C. 7 : 6 D. 13 : 12
Correct Answer: B. 7 : 6
Explanation:
A invests ₹80,000 for 6 months and ₹60,000 for the next 6 months.
A’s capital-time = 80 × 6 + 60 × 6 = 840
B’s capital-time = 60 × 12 = 720
Ratio = 840 : 720 = 7 : 6
∴, none of the options is correct.
SSC CGL Partnership MCQs
10. A and B share profit in the ratio 7 : 9. A invests ₹28,000 for 9 months. If B invests for 7 months, find B’s investment.
A. ₹ 45,285.71 B. ₹ 46,275.81
C. ₹ 44,285.71 D. ₹ 46,285.71
Correct Answer: D. ₹46,285.71
Explanation:
Profit ratio:
28,000 × 9 : B × 7 = 7 : 9
28 × 9 / (7B) = 7/9
B = (28 × 9 × 9)/(7 × 7)—this does not yield ₹42,000.
28,000 × 9 / (B × 7) = 7/9
252,000 × 9 = 7 × 7B
2,268,000 = 49B
B = ₹ 46,285.71
11. A, B, and C invest in the ratio 3 : 4 : 5. Their investment periods are 12, 9, and 6 months, respectively. Find their profit-sharing ratio.
A. 6 : 6 : 5 B. 12 : 12 : 10
C. 3 : 3 : 2 D. 9 : 12 : 10
Correct Answer: A. 6 : 6 : 5
Explanation:
Profit ratio = Capital × Time
A = 3 × 12 = 36
B = 4 × 9 = 36
C = 5 × 6 = 30
Ratio = 36 : 36 : 30 = 6 : 6 : 5
∴ the correct answer is A, 6 : 6 : 5.
12. A and B invest ₹45,000 and ₹60,000, respectively. After 4 months, C joins with ₹90,000. If the total profit at the end of the year is ₹23,000, find C’s share.
A. ₹ 8,363.64 B. ₹ 7,373.64
C. ₹ 6,363.64 D. ₹ 5,373.64
Correct Answer: A. ₹ 8,363.64
Explanation:
A = 45 × 12 = 540
B = 60 × 12 = 720
C = 90 × 8 = 720
Profit ratio = 540 : 720 : 720
= 3 : 4 : 4
Total parts = 11.
C’s share = 23,000 × 4/11 = ₹ 8,363.64
13. A starts a business with ₹72,000. B joins after 3 months with ₹96,000. C joins after another 3 months with ₹120,000. Find their profit ratio at the end of the year.
A. 9 : 12 : 10 B. 6 : 6 : 5
C. 6 : 8 : 5 D. 12 : 16 : 15
Correct Answer: B. 6 : 6 : 5
Explanation:
A invests for 12 months.
72 × 12 = 864
B invests for 9 months:
96 × 9 = 864
C invests for 6 months:
120 × 6 = 720
Ratio = 864 : 864 : 720
= 6 : 6 : 5
15. A and B invest in the ratio 5 : 6. After 4 months, A withdraws half of his capital. If B continues throughout the year, find their profit ratio.
A. 9 : 5 B. 5 : 9
C. 4 : 9 D. 7 : 9
Correct Answer: B. 5 : 9
Explanation:
Let A’s investment = 5x and B’s = 6x.
A invests 5x for 4 months, then 2.5x for 8 months.
A’s capital-time:
5×4 + 2.5×8 = 20 + 20
= 40
B’s capital time:
6×12 = 72
Ratio = 40 : 72 = 5 : 9
15. A and B invest in the ratio 3 : 5. A receives 10% of the total profit as a manager’s commission. If the total profit is₹40,000, find B’s share of the remaining profit.
A. ₹32,500 B. ₹24,400
C. ₹23,500 D. ₹22,500
Correct Answer: D. ₹22,500
Explanation:
A’s commission = 10% of 40,000 =₹4,000.
Remaining profit = ₹36,000.
A : B = 3 : 5.
B’s share = 36,000 × 5/8
= ₹22,500
SSC CGL Partnership MCQs
16. A and B invest ₹50,000 and ₹80,000, respectively, for 12 months. If their profit difference is ₹9,000, find the total profit.
A. ₹27,000 B. ₹30,000
C. ₹36,000 D. ₹39,000
Correct Answer: B. ₹30,000
Explanation:
Profit ratio = 50,000 : 80,000 = 5 : 8.
Difference = 3 parts = ₹9,000.
One part = ₹3,000.
Total parts = 13.
Total profit = 13 × 3,000 = ₹39,000.
17. A invests ₹60,000 for 12 months. B invests ₹90,000 but joins after some months. If their profit ratio is 4 : 3, after how many months did B join?
A. 4 months B. 5 months
C. 6 months D. 7 months
Correct Answer: C. 6 months
Explanation:
A’s capital-time = 60 × 12 = 720.
B’s profit is 3/4 of A’s profit.
∴ B’s capital-time = 720 × 3/4 = 540.
B’s investment = 90.
Investment period = 540/90 = 6 months.
So B worked for 6 months.
Joining time = 12 − 6 = 6 months after the start.
18. A and B invest for 8 months and 12 months, respectively. If A’s profit is 2/3 of B’s profit, find the ratio of their investments.
A. 1 : 1 B. 1 : 2
C. 2 : 3 D. 3 : 4
Correct Answer: C. 2 : 3
Explanation:
Profit ratio A : B = 2 : 3.
Investment ratio:
A : B = (2/8) : (3/12)
= 1/4 : 1/4
= 1 : 1
Therefore, the correct answer is A. 1 : 1.
SSC CGL Partnership MCQs
19. A, B, and C start a business. A invests ₹80,000 for 12 months. B invests ₹100,000 for 8 months. C invests ₹120,000 for 6 months. If the total profit is ₹31,500, find C’s share.
A. ₹ 9,145.16 B. ₹ 8,145.16
C. ₹ 7,145.16 D. ₹ 6,145.16
Correct Answer: A. ₹ 9,145.16
Explanation:
A = 80 × 12 = 960
B = 100 × 8 = 800
C = 120 × 6 = 720
Ratio = 960 : 800 : 720
= 12 : 10 : 9
Total parts = 31.
C’s share = 31,500 × 9/31 = ₹9,145.16
20 .A starts a business with ₹60,000. After 4 months, he increases his capital by ₹20,000. B joins after 6 months with ₹100,000 and remains until the end of the year. If the total profit is ₹25,000, find the ratio of A’s and B’s profits.
A. 28 : 17 B. 10 : 17
C. 22 : 15 D. 12 : 11
Correct Answer: C. 22 : 15
Explanation:
A invests:
₹60,000 for the first 4 months and ₹80,000 for the next 8 months.
A’s capital-time:
60 × 4 + 80 × 8 = 240 + 640
= 880
B joins after 6 months, so B invests for 6 months:
100 × 6 = 600
Profit ratio = 880 : 600
= 22 : 15
SSC CGL Quantitative Aptitude Topics
- Number System
- Decimals
- Fractions
- Percentages
- Ratio & proportion
- Square roots
- Averages
- Interest (simple & compound)
- Profit & loss
- Discount
- Partnerships
- Mixture & Alligation
- Time & speed & distance
- Time & work.
- Advanced math includes basic algebraic identities
- Elementary surds
- Graphs of linear equations
- Triangles
- Circles
- Regular polygons, right prisms, cones, cylinders, spheres
- Trigonometry.
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