What's the best way to master Partnership and Profit Share Problems quickly?

Master Partnership and Profit Share Problems by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Partnership Profit Share

Partnership and Profit Share problems involve dividing profits (or losses) among partners based on their capital investment and the time period for which the capital is invested. Profit sharing ratio = (Capital₁ × Time₁) : (Capital₂ × Time₂).

10Worksheets

200+Practice Questions

IntermediateDifficulty

2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks

Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Partnership Profit Share

Prerequisites

Ratio concept Investment calculation Time periods Profit = Investment × Time ratio

Why This Matters: Partnership problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test application of ratio concepts in business contexts.

How to Solve Partnership Profit Share Problems

Step 1: Identify each partner's capital and investment time

Step 2: Calculate investment × time for each partner

Step 3: Write the profit sharing ratio as (I₁×T₁) : (I₂×T₂) : ...

Step 4: Simplify the ratio to lowest terms

Step 5: Each partner's share = (Ratio term / Sum of ratios) × Total profit

Step 6: For changes during the year, calculate weighted investments

Step 7: Verify that shares add up to total profit

Pro Strategy: Profit is distributed in the ratio of (Capital × Time). Calculate capital-time products first, simplify the ratio, then distribute profit.

Example Problem

Example: A invests ₹5000 for 6 months, B invests ₹6000 for 8 months. Total profit = ₹7800. Find each share. Solution: Step 1: A's investment-time = 5000 × 6 = 30000 Step 2: B's investment-time = 6000 × 8 = 48000 Step 3: Ratio A:B = 30000:48000 = 5:8 Step 4: Sum of ratios = 5 + 8 = 13 Step 5: A's share = (5/13) × 7800 = 3000 Step 6: B's share = (8/13) × 7800 = 4800 Answer: A = ₹3000, B = ₹4800

Pro Tips & Tricks

If time periods are different, use Capital × Time
If capital changes during the period, calculate total capital-time
If partners join later, calculate from their joining date
Profit ratio = Capital ratio only if time periods are equal
Sleeping partner invests but doesn't manage
Working partner may get additional salary/commission

Shortcut Methods to Solve Faster

Share = (Capital × Time / Total capital-time) × Total profit

If capitals are in ratio a:b and times in ratio c:d, profit ratio = ac:bd

For three partners, profit ratio = I₁T₁ : I₂T₂ : I₃T₃

Common Mistakes to Avoid

Ignoring time factor (using only capital)

Using time in wrong units (months vs years)

Not converting all times to same unit

Forgetting that profit is proportional to capital × time

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Partnership Profit Share. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems