Partnership - Formula Sheet

🤝 Partnership - Formula Sheet

🎯 Basic Formulas

Profit Sharing Ratio

Profit Ratio = Investment₁ × Time₁ : Investment₂ × Time₂ : …

Individual Share

Share = Total Profit × (Individual Factor) / (Sum of All Factors)

Working Partner’s Commission

Commission = Total Profit × Commission Rate / 100 Remaining Profit = Total Profit - Commission

📊 Different Cases

Equal Investment, Different Time

Share Ratio = Time₁ : Time₂ : Time₃

Different Investment, Equal Time

Share Ratio = Investment₁ : Investment₂ : Investment₃

Different Investment, Different Time

Share Ratio = I₁ × T₁ : I₂ × T₂ : I₃ × T₃

🔢 Special Cases

Sleeping Partner

Sleeping Partner Share = Investment × Time Working Partner Share = Investment × Time + Commission

Investment Changes

For period 1: I₁ for T₁ months For period 2: I₂ for T₂ months Total Investment = I₁ × T₁ + I₂ × T₂

Salary to Working Partner

Net Profit = Total Profit - Salary - Commission Remaining profit shared in investment ratio

⚡ Quick Calculations

Monthly Investment

If investment changes during year: Annual Investment = Σ(Investment × Months)

Missing Partner

If one partner leaves mid-year: Consider only their active months

📝 Solving Steps

  1. Identify investments and time periods
  2. Calculate factors (Investment × Time)
  3. Find the ratio
  4. Apply to total profit
  5. Consider commission/salary if applicable

🔍 Important Notes

  1. Time always in same units (months/years)
  2. Investment = capital contribution
  3. Commission usually % of profit
  4. Salary fixed amount, not percentage

Master Partnership - Investment × Time determines share! 🤝