Partnership Tricks + Solved Examples + Calculator

Partnership — Shortcut Tricks + Solved Examples + Calculator

Learn fast tricks for competitive exams. Practice with quiz questions and use the calculator for custom partnership questions. Supports same time, different time, joining later, capital change, and working partner commission.

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Most Important Formula

Profit Share = (Capital × Time / Total Capital-Time) × Total Profit

1. Same Time Investment Trick

Rule: If all partners invest for same time, then profit ratio = capital ratio. Shortcut: Ignore zeros and directly make ratio. Example: 20000 : 30000 = 2 : 3 So profit ratio = 2 : 3

2. Different Time Trick

Rule: If time is different, then use Capital × Time. Shortcut: Write only small numbers: A = 20 × 12 B = 30 × 6 Then compare: 240 : 180 = 4 : 3

3. Joins Later Trick

Rule: If a partner joins later, subtract from total time. Shortcut: If total period is 12 months and B joins after 4 months, then B's time = 12 − 4 = 8 months.

4. Capital Changes Trick

Rule: When capital changes, break into phases. Shortcut: Money-months = C₁×T₁ + C₂×T₂ + ... Example: 10000×5 + 8000×7

5. Working Partner Commission Trick

Rule: Commission or salary is taken first. Shortcut: 1. Find commission 2. Subtract from total profit 3. Divide remaining profit in ratio

6. Super Fast Exam Method

5-Second Method: 1. Remove zeros 2. Multiply Capital × Time 3. Form ratio 4. Divide profit This solves most partnership questions quickly.

Important Facts

  • Simple partnership: same time ⇒ profit ratio = capital ratio.
  • Compound partnership: different time ⇒ profit ratio = Capital × Time.
  • Capital change: split into phases and add all money-months.
  • Working partner: commission first, remaining profit later divided by ratio.