Partnership Problems (Types, Formulas & Shortcuts)
SSC GD Exam Preparation - Quantitative Aptitude
Partnership problems deal with profit sharing when 2 or more people invest money into a business.
🔹 1. Types of Partnership
(A) Simple Partnership
All partners invest money for the same period.
Profit is shared in ratio of investments:
Profit Ratio = A : B : C = Investment of A : Investment of B : Investment of C
(B) Time Partnership
Partners invest for different time periods.
Profit is shared based on Money × Time:
Profit Ratio = A : B = (Investment × Time)
(C) Working Partner
A partner who works in business gets extra salary/commission besides profit share.
(D) Sleeping Partner
A partner who only invests money → gets only profit share, no salary.
🔹 2. Important Formulas
(1) Profit Sharing Ratio
Profit Ratio = (I₁ × T₁) : (I₂ × T₂) : (I₃ × T₃)
(2) Individual Profit
Partner's Profit = (Share Ratio / Total Ratio) × Total Profit
(3) When a Partner Joins or Leaves
Adjust time accordingly.
Example: A starts business. B joins after 4 months → B's time = (Total Time – 4)
🔹 3. Example Problems
Example 1:
A and B invest 20,000 and 30,000. Profit = 50,000.
Ratio = 2 : 3
A's share = 20,000
B's share = 30,000
Example 2 (Different time):
A invests 6000 for 12 months. B invests 8000 for 9 months.
Ratio = (6000×12) : (8000×9)
= 72000 : 72000
= 1 : 1
→ Equal profit
🧠 Practice Section: 15 Practice Questions (With Answers)
Test your partnership concepts with these SSC GD level practice questions. Click on "View Answer" to check your understanding.
Q1. A and B invest 40,000 and 60,000. Find profit ratio.
View Answer
2 : 3
Q2. A invests 5000 for 12 months, B invests 7000 for 6 months. Find ratio.
View Answer
5000×12 : 7000×6 = 60000 : 42000 = 10 : 7
Q3. A and B share profit in ratio 3 : 5. Total profit = 40,000. Find A's share.
View Answer
(3/8) × 40000 = 15000
Q4. A invests 20,000. B invests 25,000 after 4 months. Total time = 12 months. Find ratio.
View Answer
A: 20000×12 = 240000, B: 25000×8 = 200000, Ratio = 240000 : 200000 = 6 : 5
Q5. A, B, C invest 2 : 3 : 5. Profit = 1,00,000. Find C's share.
View Answer
(5/10) × 100000 = 50000
Q6. A invests 10,000 for 1 year. B invests 12,000 for 8 months. Ratio?
View Answer
10000×12 : 12000×8 = 120000 : 96000 = 5 : 4
Q7. A invests 20,000. After 6 months B invests 20,000. Ratio?
View Answer
A = 20000×12 = 240000, B = 20000×6 = 120000, Ratio = 2 : 1
Q8. Profit = 72,000. Ratio 4 : 5 : 7. Find B's share.
View Answer
Total parts = 16, B = (5/16) × 72000 = 22500
Q9. A invests 18,000 and B invests 24,000. B also gets ₹600 salary. Profit = 50,000. Find A's share.
View Answer
Ratio = 18k : 24k = 3 : 4, Profit after salary = 50000 - 600 = 49400, A's share = 3/7 × 49400 = 21,171
Q10. A invests 15,000 for 10 months. B invests 10,000 for 12 months. Ratio?
View Answer
A = 15000×10 = 150000, B = 10000×12 = 120000, Ratio = 5 : 4
Q11. Three partners invest 3,000, 4,500, 6,000. Find profit ratio.
View Answer
2 : 3 : 4
Q12. A invests 20,000 for 8 months. B invests x for 12 months. Ratio = 2 : 3. Find x.
View Answer
20000×8 : x×12 = 2 : 3, 160000 : 12x = 2 : 3, Cross multiply → 160000×3 = 2×12x, 480000 = 24x, x = 20,000
Q13. A starts business with 25,000. After 4 months B invests 15,000. Ratio?
View Answer
A = 25000×12 = 300000, B = 15000×8 = 120000, Ratio = 5 : 2
Q14. A and B invest for same time. If ratio of their profits = 7 : 9, find ratio of investments.
View Answer
Same time → ratio = investment ratio, 7 : 9
Q15. A and B invest 8 : 5. Profit = 65,000. Find B's share.
View Answer
Total parts = 13, B = 5/13 × 65000 = 25,000
✅ SSC GD Exam Strategy
🟢 Practice investment × time calculations quickly
🟢 Master profit sharing ratio formulas
🟢 Learn to handle working partner salary scenarios
🟢 Practice partner joining/leaving problems
🟢 Time yourself - aim for 45-60 seconds per partnership question
You've completed Partnership Problems Concepts!
SSC GD Tip: Partnership problems are common in the quantitative section. Focus on understanding the different types of partnerships and their profit-sharing formulas. Remember to always calculate investment × time ratios correctly, handle salary adjustments for working partners, and practice various scenarios with partners joining or leaving at different times. Regular practice with previous year SSC GD questions will build your speed and accuracy.
Master Partnership Problems for SSC GD Exam!
Join Courage Library for comprehensive SSC GD study materials and expert guidance.
Start Your SSC GD Preparation!