Partnership Questions Simplified for RBI Grade B Phase 1 Exam

The Quant section in RBI Grade B Phase 1 has 30 questions. The reviews of past papers say that the Partnership usually attracts 1 to 2 questions. That’s about 3 to 7% of Quants. It’s not the biggest topic. But it’s a free-scoring one if you know the basics well. Partnership problems need only a couple of formulas. If you use them right, you can solve in seconds. In this blog, you’ll learn the important formulas, fast tricks, and examples. You’ll also know how to practise. By the end, you’ll have this topic in your control. Keep on reading!

ALSO READ: How to Score Maximum Marks in Cloze Test

What are Partnership Questions?

Partnership questions are about sharing money or profit. Two or more people invest in a business. They keep money for different times. Profit is divided based on money and time.

It can be about any business, small or big. The rule is the same. The person who invests more for longer time gets more share.

Formulas You Must Know

Before solving, you need to know the basic formulas. Without them, you will take longer to calculate. With them, the answers come fast.

These formulas work in almost every type of partnership problem.

1. Money–Time Investment Ratio

If A invests ₹X for m months and B invests ₹Y for n months, then share ratio = (X × m) : (Y × n). For Example: A invests ₹5,000 for 6 months. B invests ₹8,000 for 3 months. Ratio = (5000×6) : (8000×3) = 30000 : 24000 = 5 : 4.

2. Total Profit Split

Once you get the ratio, you split the total profit in that ratio.
For example: Profit Rs 9,000. A:B = 5:4.

Total parts = 5 + 4 = 9.

A’s profit = (5/9) × 9000 = Rs 5,000.

B’s profit = Rs 4,000.

3. New Partner or Leaving Partner

When a partner joins later or leaves early, you adjust the months. Example: A invests ₹10,000 for 12 months. B joins after 4 months with ₹10,000. A’s time = 12, B’s time = 8. Ratio = (10000×12):(10000×8) = 3:2.

ALSO READ: How to Score Maximum Marks in Cloze Test & Ratio & Proportion Concepts and Shortcuts for RBI Grade B Exam

Smart Tricks to Speed Up in Partnership Questions

Formulas help you solve questions. But in RBI Grade B Phase 1, speed is everything. You have less than a minute for each Quant question. You can’t afford long steps.

These tricks make the numbers smaller. They also cut down extra steps. Once you know them, you’ll solve partnership sums faster and with fewer mistakes.

Trick 1: Ignore Time if Same

If all partners invest for the same number of months, skip the time part. Just compare their investments.

Example:

A invests ₹5,000. B invests ₹8,000. Both for 12 months.

Ratio = 5000 : 8000 = 5 : 8. Done. No need to multiply by 12.

This saves you 2–3 seconds in each question. That’s a lot in the exam.

Trick 2: Cancel Zeros Early

Big numbers take longer to multiply. So, cancel the zeros before you multiply.

Example:
(5000 × 6) and (8000 × 3) both have three zeros. Remove them first.

Now it’s 5 × 6 and 8 × 3.

Easier and faster.

Your brain likes small numbers. The smaller they are, the less chance of a silly mistake.

Trick 3: Use Parts Smartly

When you have the ratio, add the parts. Then divide profit quickly.

Example:

Ratio = 5 : 4. Total parts = 9. Profit = ₹9,000.

Each part = 9000 ÷ 9 = 1000.

A gets 5 parts = ₹5,000. B gets 4 parts = ₹4,000.

No need to calculate each share using fractions.

Trick 4: Late Joiner

When a partner joins later, count his months from when he joins.

Example:

A invests for 12 months. B joins in July in a January–December business. B’s time = 6 months.

Then multiply money × months for both partners.

This avoids counting extra months by mistake.

Trick 5: Leaving Partner

If a partner leaves early, count only the months he stayed.

Example:
A, B, C start together. A leaves after 5 months.
A’s time = 5 months. B and C’s time = total months.

Short time = smaller share. Always adjust for this before finding ratio.

ALSO READ: Word Swap Tricks for RBI Grade B Phase 1 Exam

Practice Examples

Examples make formulas clear. They show you how to apply tricks in real questions. Let’s go step by step.

Example 1: Profit Share

A invests ₹4,000 for 10 months. B invests ₹6,000 for 8 months. 

Profit = Rs 10,000.

Ratio = (4000×10):(6000×8) = 40000:48000 = 5:6.

Total parts = 11.

A gets (5/11)×10000 ≈ ₹4,545.

B gets ₹5,455.

Example 2: Late Entry

A invests ₹8,000 for 12 months. B enters after 3 months with ₹8,000. Profit = ₹6,000.

A time = 12, B time = 9. Ratio = 8,000×12 : 8,000×9 = 12:9 = 4:3.

Two parts = 7.

Each part = ₹6000÷7 ≈ ₹857.

A ≈ ₹3,429.

B ≈ ₹2,571.

Example 3: Leaving Partner

A, B, C invest equally. A leaves after 4 months. Profit = ₹9,000.

Time parts:

A = 3 parts × 4 = 12

B = 3 parts × 12 = 36

C = 3 parts × 12 = 36

Total = 84 parts.

One part = 9000 ÷ 84 ≈ 107.14.

A ≈ ₹1,285, B ≈ ₹3,857, C ≈ ₹3,857.

How to Practice Well

Without practice, partnership questions can still take time. With practice, they become quick marks. You need a fixed plan for practice.

• Write formulas in short form in your notes.
• Solve 5 partnership sums daily.
• Mix simple and tricky cases.
• Review wrong answers daily.

Daily Mini Task

Mini tasks keep you sharp. They also make practice less boring. You can do this in under 15 minutes.

1. Solve 3 ratio–share problems.
2. Solve 2 late joiner/exit partner problems.
3. Use at least one shortcut trick.
4. Write the ratio method steps in your notebook.

Final Takeaway

This topic has low weightage but a high scoring chance. If you master the ratio–time method, you can solve problems without stress. Partnarship can become your strong point in the Quantitative Aptitude of Phase 1 exam if you practice daily and master shortcuts.

Disclaimer: The partnership formulas, tricks, and examples provided are curated from expert analysis of exam trends and previous papers. They are intended for practice and guidance only, not official RBI Grade B exam content. Actual exam questions may differ. Candidates should always verify details through official RBI notices.

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