Example 1
A invests ₹2,000 for 12 months and B invests ₹4,000 for 8 months. Out of a total profit of ₹3,248, what is A's share?
Answer: C) ₹1,392
Ratio = 2,000 × 12 : 4,000 × 8 = 3 : 4; A's share = ₹1,392.
Partnership questions for competitive exams: rules, worked examples and practice
Partnership questions split a profit between partners according to how much each invested and for how long. Profit is shared in the ratio of capital × time.
Key rules and formulas
- Profit share ratio = (capital of A × months of A) : (capital of B × months of B).
- If everyone invests for the same time, the ratio is simply the ratio of capitals.
- A partner's share = total profit × (their part ÷ sum of parts).
- A working partner's salary is taken out of the profit before the rest is shared.
Common traps
- Forgetting that a partner who joins later has fewer months.
- Dividing by the number of partners instead of by the sum of ratio parts.
Where Partnership is asked
- IBPS Clerk Prelims (Numerical Ability)
- IBPS PO Prelims (Quantitative Aptitude)
- SBI Clerk Prelims (Numerical Ability)
- SBI PO Prelims (Quantitative Aptitude)
- SSC CGL Tier 1 (Quantitative Aptitude)
- SSC CGL Tier 2 (Mathematical Abilities)
- SSC CHSL Tier 1 (Quantitative Aptitude)
Worked examples
Example 2
A invests ₹4,000 for 12 months and B invests ₹8,000 for 4 months. Out of a total profit of ₹2,320, what is A's share?
Answer: C) ₹1,392
Ratio = 4,000 × 12 : 8,000 × 4 = 3 : 2; A's share = ₹1,392.
Example 3
A invests ₹7,000 for 12 months and B invests ₹7,000 for 9 months. Out of a total profit of ₹10,731, what is A's share?
Answer: D) ₹6,132
Ratio = 7,000 × 12 : 7,000 × 9 = 4 : 3; A's share = ₹6,132.
Frequently asked questions
What is Partnership in competitive exams?
Partnership questions split a profit between partners according to how much each invested and for how long. Profit is shared in the ratio of capital × time.
Which exams ask Partnership questions?
On MockBazaar, Partnership questions appear in IBPS Clerk Prelims, IBPS PO Prelims, SBI Clerk Prelims, SBI PO Prelims, SSC CGL Tier 1, SSC CGL Tier 2, SSC CHSL Tier 1.
What is the most common mistake in Partnership?
Forgetting that a partner who joins later has fewer months.