Bank Exam Speed Maths Master Series Page 13 | Partnership Tricks & Fast Calculation Methods

 

 Bank Exam Speed Maths Master Series – Page 13

Partnership Tricks & Fast Calculation Methods

Shaktimatha Learning – Speed Maths Academy
Learn Partnership shortcut tricks, aptitude formulas, and fast calculation methods for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Partnership in Competitive Exams

Partnership is one of the most important arithmetic topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams
• Quantitative Aptitude

This topic is highly useful in:

• Profit sharing
• Business mathematics
• Ratio & Proportion
• Time-based calculations
• Data Interpretation

🎯 What is Partnership?

Partnership means two or more persons invest money in a business and share profit according to:

• Investment amount
• Investment time

 Basic Partnership Formula

0

 Trick 1: Equal Time Partnership

If time is equal:

Profit ratio = Capital ratio

Example:

A invests 5000
B invests 8000

Profit ratio:

5000 : 8000

5 : 8

✅ Answer = 5 : 8

 Trick 2: Different Time Partnership

If investment time differs:

Use:

Capital × Time

Example:

A invests 6000 for 12 months
B invests 8000 for 6 months

A:

6000 × 12 = 72000

B:

8000 × 6 = 48000

Ratio:

72000 : 48000

3 : 2

✅ Answer = 3 : 2

 Trick 3: Profit Distribution

Example:

A:B = 2:3

Total profit = 5000

Total parts = 5

A’s share:

5000 × 2/5

= 2000

B’s share:

5000 × 3/5

= 3000

✅ Shares = 2000 and 3000

 Trick 4: Working Partner Shortcut

If a working partner receives salary/profit separately:

• First subtract salary
• Divide remaining profit

Example:

Total profit = 10000
Manager salary = 2000

Remaining profit:

10000 − 2000

= 8000

Then divide according to ratio.

 Trick 5: New Partner Entry

If new partner joins later:

Use:

• Capital
• Remaining time

Example:

A invests 10000 for 12 months
B joins after 4 months with 15000

A:

10000 × 12 = 120000

B:

15000 × 8 = 120000

✅ Ratio = 1 : 1

 Important Observation Trick

Profit is always proportional to:

• Capital invested
• Time invested

Formula:

1

 Important Partnership Shortcuts

Topic	Shortcut
Equal Time	Profit ∝ Capital
Different Time	Capital × Time
Profit Share	Ratio parts method
New Partner	Remaining months
Working Partner	Subtract salary first

 Practice Questions

1. A invests 4000 and B invests 6000. Find profit ratio
2. A invests 5000 for 12 months, B invests 8000 for 6 months. Find ratio
3. Profit = 9000, ratio = 2:1. Find shares
4. Total profit = 12000, salary = 2000. Remaining profit = ?
5. A invests 15000 for 12 months, B joins after 6 months with 30000. Find ratio

✅ Answers

1. 2 : 3
2. 5 : 4
3. 6000 and 3000
4. 10000
5. 1 : 1

🎯 Preparation Strategy:
Practice capital-time methods, profit sharing, ratio simplification, and working partner problems daily to improve arithmetic speed and quantitative aptitude solving ability.

“Understanding Partnership Concepts Makes Business Mathematics Easy & Scoring.”

Powered by Shaktimatha Learning
Bank Exam Speed Maths Master Series