Partnership Problems: Ratio Method for Quick Solving

Partnership problems carry 1-2 questions in SSC and banking exams. The ratio method makes them straightforward.

Simple Partnership

When all partners invest for the same duration: Profit ratio = Investment ratio. A invests 2000, B invests 3000. Profit ratio = 2:3. If total profit is 10000, A gets 4000 and B gets 6000.

Compound Partnership

When partners invest for different durations: Profit ratio = (Investment × Time) ratio. A invests 5000 for 6 months, B invests 6000 for 5 months. A's share: 5000×6 = 30000. B's share: 6000×5 = 30000. Ratio = 1:1.

Joining/Leaving Partners

Calculate each partner's effective investment = Amount × Number of months they were invested. Then find the ratio. Remember: A partner who joins after 3 months invests for (12-3) = 9 months (assuming annual partnership).