Bank Exam Speed Maths
Page 14: Partnership (Profit Sharing Tricks)
1. Basic Concept
Partnership: Two or more people invest money in a business
Profit Sharing: Based on investment and time
Formula:
Profit ∝ Investment × Time
Profit ∝ Investment × Time
2. Simple Partnership
If time is same:
Profit ratio = Investment ratio
Example:
A invests 2000, B invests 3000
Ratio = 2 : 3
A invests 2000, B invests 3000
Ratio = 2 : 3
3. Compound Partnership
If time is different:
Profit ratio = (Investment × Time)
Example:
A = 2000 for 12 months → 24000
B = 3000 for 6 months → 18000
Ratio = 4 : 3
A = 2000 for 12 months → 24000
B = 3000 for 6 months → 18000
Ratio = 4 : 3
4. Entry/Exit Concept
When a partner joins or leaves:
Calculate investment for actual time period
Example:
A invests for 12 months
B joins after 6 months → invests for 6 months
A invests for 12 months
B joins after 6 months → invests for 6 months
5. Shortcut Trick
Use units method:
Convert all values into simple ratio
Example:
A = 2 × 12 = 24 units
B = 3 × 6 = 18 units
Ratio = 4 : 3
A = 2 × 12 = 24 units
B = 3 × 6 = 18 units
Ratio = 4 : 3
6. Important Tips
• Always consider both money and time
• Convert into simple ratio for faster solving
• Common in DI and word problems
7. Practice Questions
1. A invests 1000, B invests 2000 → Profit ratio?
2. A = 2000 (12 months), B = 3000 (6 months) → Ratio?
3. A invests double of B for same time → Ratio?
4. B joins after 4 months → How to calculate?
5. Profit = 700, ratio 2:3 → Share of A?
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