Partnership Question Types, Formulas, Short Tricks and Tips

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Published on 5 May 2026 by

The Partnership topic in Quantitative Aptitude is a fundamental concept tested in several competitive exams like SSC, Banking, RRB, and State-level recruitment tests. It evaluates your understanding of profit-sharing based on capital and time investments. In this blog, we have provided the details about what Partnership means, its types, formulas, solved questions from recent exams, and key tricks to solve problems faster.

Download Partnership Questions PDF

Download this concise PDF to quickly revise all key concepts of Partnership, including important formulas, profit and loss distribution, ratio-based calculations, shortcut tricks, and exam-oriented MCQs with detailed solutions. It’s a handy resource for SSC, Railways exams to help you practice efficiently and improve your problem-solving speed.

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Practice Partnership Questions Live

In the following questions, you will find multiple-choice problems based on Partnership concepts. Select the correct answer from the given options. Practicing a variety of such questions is essential to strengthen your understanding of profit-sharing, investment ratios, and time-based calculations, improve speed, and enhance accuracy, ultimately helping you score better in competitive exams.

Partnership Questions Live Score: 0.00

Q1. A and B invest ₹12,000 and ₹16,000 in a business. After 8 months, A withdraws his entire investment. At the end of the year, total profit is ₹14,000. What is B’s share of profit?

Q2. A, B, and C invest ₹10,000, ₹15,000, and ₹20,000 for 12, 10, and 8 months respectively. Total profit is ₹9,100. Find C’s share.

Q3. P and Q start a business with ₹45,000 and ₹30,000. After 4 months, R joins with ₹60,000. At year end, total profit is ₹27,600. Find R’s share.

Q4. A invests ₹8,000 for 6 months and B invests ₹6,000 for the full year. Find ratio of their profits.

Q5. X and Y invest in ratio 3:5. X invests for 8 months and Y for the whole year. Find ratio of their profits.

Q6. A and B invest ₹5,000 and ₹10,000. A is the working partner and receives 20% of profit as salary before division. If total profit is ₹9,000, find A’s total share.

Q7. A, B, C are partners. A receives 1/4 of profit, B and C divide the rest equally. If A gets ₹500 more than B, find total profit.

Q8. A and B enter a partnership. A contributes ₹25,000 for 4 months; B contributes ₹20,000 for 6 months. They earn ₹16,600. Find A’s profit.

Q9. A starts a business with ₹40,000. After 3 months B joins with ₹60,000. After another 3 months C joins with ₹80,000. At year end, profit is ₹36,600. Find C’s share.

Q10. A and B invest ₹3,500 and ₹5,600 respectively. A gets 12.5% of profit as salary. If total profit is ₹8,800, how much does B get?

Q11. A invests twice as much as B and thrice as much as C. If total profit is ₹55,000, find B’s share.

Q12. A and B invest in ratio 4:5. After 6 months, A doubles his investment. Find profit ratio at year end.

Q13. P, Q, R invest in a firm. P invests 1/3 of total, Q invests 1/4 of total, and R invests rest. Find R’s share from profit of ₹52,000.

Q14. A, B, C invest ₹2,000, ₹3,000, ₹4,000. B is the managing partner and gets 10% of profit additionally. Total profit = ₹18,000. Find B’s total earning.

Q15. A and B invest ₹7,500 and ₹12,500. What fraction of total profit does A receive?

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What is Partnership in Quantitative Aptitude?

In Quantitative Aptitude, Partnership refers to the business relationship where two or more individuals invest money (capital) in a venture and share the profits or losses in a specified ratio.

Why is it asked in exams?

Partnership questions test your ability to calculate profit sharing, adjust for time-based investments, and apply ratios and proportions.

Skills required:

  • Ratio and proportion handling
  • Time-based logical adjustments
  • Basic arithmetic
  • Decision-making through elimination and approximation
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Why Is Partnership Important in Competitive Exams?

Partnership problems are asked in exams because they test multi-step reasoning in a simple context.

ExamNo. of QuestionsDifficulty
SSC CGL / CHSL1–2Easy
IBPS PO / SBI PO1–2Moderate
RRB NTPC / Group D1Easy
State PSC / Police1–2Moderate

Partnership Quantitative Aptitude Short Notes

Terms mostly used to solve Partnership questions are as follows:

TermDescription
PartnershipBusiness venture by 2 or more individuals
CapitalMoney invested by each partner
TimeDuration for which money is invested
Profit Sharing RatioRatio of (Capital × Time) among partners
Working PartnerActively manages the business
Sleeping PartnerOnly invests money, does not take part in daily activities
Equal Time InvestmentShare profit as per capital ratio only
Unequal Time InvestmentShare profit as per (capital × time) ratio

Quick Revision Summary of Partnership Based Questions

The core concepts used to solve most of the partnership questions are as follows:

ConceptExplanation
Profit Sharing (Equal Time)Profit ∝ Capital only
Profit Sharing (Unequal Time)Profit ∝ Capital × Time
New Partner EntryRecalculate total capital ratio from date of joining
Withdrawal or ExitAdjust capital ratio based on remaining time
Total Profit DivisionTotal profit is divided in the final ratio of investments
Comparison Type ProblemsFocus on capital ratios and investment duration
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What Are the Types of Partnership Questions in Quantitative Aptitude?

The Partnership section typically includes the following types of questions:

  • Direct Questions: Based on static investments and equal time durations
  • Time-Adjusted Questions: Capital invested for different time durations
  • Change in Partnership: Partners join/leave at different points
  • Profit Comparison: Comparing shares among multiple partners
  • Combined Concept Questions: Involve ratios, averages, or percentages along with partnership

Partnership Formulas for Quantitative Aptitude

To solve Partnership questions faster, memorize and apply these key formulas:

  1. Equal Time Investment Profit Share Ratio=A:B=Capital of A:Capital of B\text{Profit Share Ratio} = A : B = \text{Capital of A} : \text{Capital of B}Profit Share Ratio=A:B=Capital of A:Capital of B
  2. Unequal Time Investment Profit Share Ratio=(Capital×Time)A:(Capital×Time)B\text{Profit Share Ratio} = (Capital \times Time)_A : (Capital \times Time)_BProfit Share Ratio=(Capital×Time)A​:(Capital×Time)B​
  3. Total Profit Division Individual Share=Individual RatioTotal Ratio×Total Profit\text{Individual Share} = \frac{\text{Individual Ratio}}{\text{Total Ratio}} \times \text{Total Profit}Individual Share=Total RatioIndividual Ratio​×Total Profit
  4. If a Partner Enters Later
    Adjust using time left till the end of the venture.

Partnership Tricks for SSC CGL and Other Exams

Tricks used to solve partnership questions are as follows:

  1. Multiply Capital × Time directly to get effective investment
  2. Assume total profit as 100 if not given helps in ratio problems
  3. Use options in reverse for fast elimination
  4. Keep units uniform months or years must be the same
  5. Practice time adjustment logic this is where most students go wrong
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Common Mistakes to Avoid while Solving Partnership

While solving Partnership Quantitative Aptitude questions, avoid these common errors:

  1. Ignoring Time Factor: Always consider the time investment; don’t just compare capitals.
  2. Mismatched Units: Don’t mix months and years—standardize before calculation.
  3. Wrong Ratio Simplification: Carefully simplify ratios; one wrong step distorts the result.
  4. Assuming Equal Time: Only do so when clearly stated.
  5. Forgetting to Adjust for Entry/Exit: Recalculate ratios if partners join or leave mid-way.
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FAQs

Q1. How to solve Partnership questions fast?

Use the direct formula: Profit ∝ Capital × Time. Skip long division by simplifying ratios.

Q2. Are Partnership questions asked in SBI PO Mains?

Yes, especially in the Data Interpretation sets or standalone arithmetic questions.

Q3. Can I skip Partnership in SSC CGL Quantitative Aptitude?

Not recommended. It’s one of the easiest scoring topics.

Q4. What is the difference between working and sleeping partners?

Working partners manage the business; sleeping partners only invest money.

Q5. What’s a common mistake in Partnership questions?

Ignoring the time factor when it differs for each partner.