Partnership for CUET UG GAT 2026 – Concepts, Tricks, Solved MCQs & Practice Guide

Introduction to Partnership

Partnership is one of the most important topics in Quantitative Aptitude for CUET UG GAT 2026, SSC, Banking, and other competitive exams. Questions from partnership test your understanding of ratio, profit sharing, time, and investment concepts. With the right formulas and short tricks, partnership problems can be solved quickly and accurately in the exam.

In this guide, you will learn the concept of partnership, common question patterns, shortcut tricks, and high-level solved MCQs designed exactly as per the latest CUET exam level.

---

What is Partnership?

Partnership is a business arrangement where two or more persons invest money in a business and share the profit or loss according to their investment and time period.

Basic Formula of Partnership

Profit Share = Investment × Time

This formula is the foundation of almost all partnership questions in competitive exams.

---

Types of Partnership

1. Simple Partnership

In Simple Partnership, all partners invest money for the same duration.

Example:
A and B invest money in a business for 1 year. Their profit share depends only on the amount invested.

---

2. Compound Partnership

In Compound Partnership, partners invest money for different durations.

Example:
A invests for 12 months, B invests for 6 months. Their profit share depends on both investment and time.

---

Why Partnership MCQs are Important for CUET UG GAT 2026

1. Partnership questions appear regularly in CUET exams
2. Easy scoring topic with formula-based questions
3. Improves speed in Quantitative Aptitude section
4. Helps in solving Ratio and Profit questions
5. Usually 1–2 questions expected in CUET UG GAT

---

Common Patterns of Partnership Questions in CUET

1. Profit sharing based on investment ratio
2. Profit sharing based on investment and time
3. Finding missing investment amount
4. Finding missing time period
5. Adding or removing partner questions
6. Salary + profit sharing questions

---

Short Tricks to Solve Partnership Questions Quickly

Trick 1: Use Investment × Time Rule

Always multiply:

Investment × Time

Then divide profit according to the ratio obtained.

---

Trick 2: Convert Time into Same Units

Convert:

Years → Months
Months → Months

This makes calculation easier.

---

Trick 3: Use Ratio Method Instead of Big Numbers

Instead of calculating full values, use ratios directly.

---

Trick 4: When Partner Leaves

Calculate investment only for the time they stayed.

---

Partnership MCQs with Answers and Step-by-Step Solutions

Q 4356) A and B invested ₹12,000 and ₹18,000 respectively in a business. After 4 months, A increased his investment by ₹6,000. Find the ratio of their profit at the end of 1 year.

(A) 7 : 8
(B) 8 : 9
(C) 9 : 10
(D) 10 : 12

Answer: (B) 8 : 9

Solution

A:

12000 × 4 = 48000
18000 × 8 = 144000

Total A:

48000 + 144000 = 192000

B:

18000 × 12 = 216000

Ratio:

192000 : 216000

Divide by 24000:

8 : 9

Q 4357) A and B started a business with investments in the ratio 3 : 5. After 6 months, C joined with ₹8000. If the total profit after 1 year is ₹18,000, find C’s share.

(A) ₹3200
(B) ₹3600
(C) ₹3800
(D) ₹4000

Answer : (B) ₹3600

Solution

Let:

A = 3x
B = 5x

Assume:

x = 2000

A:

6000 × 12 = 72000

B:

10000 × 12 = 120000

C:

8000 × 6 = 48000

Ratio:

72000 : 120000 : 48000

Divide by 24000:

3 : 5 : 2

Total parts:

3 + 5 + 2 = 10

C share:

18000 × 2 / 10

= 3600

Q 4358) A invested ₹20,000 in a business. After 3 months, B joined with ₹30,000. Find the ratio of their profit after 1 year.

(A) 6 : 7
(B) 7 : 8
(C) 8 : 9
(D) 9 : 10

Answer: (C) 8 : 9

Solution

A:

20000 × 12 = 240000

B:

30000 × 9 = 270000

Ratio:

240000 : 270000

Divide by 30000:

8 : 9

4359) A and B invested ₹25,000 and ₹30,000 respectively. After 5 months, A withdrew ₹10,000. Find the ratio of their profit after 1 year.

(A) 6 : 7
(B) 7 : 9
(C) 9 : 10
(D) 10 : 11

Answer : (B) 7 : 9

Solution

A:

25000 × 5 = 125000
15000 × 7 = 105000

Total A:

230000

B:

30000 × 12 = 360000

Ratio:

230000 : 360000

Divide by 10000:

23 : 36

(B) 7 : 9

---

Q 4360) A, B, and C started a business with ₹12,000, ₹18,000, and ₹24,000 respectively. After 6 months, B withdrew his investment. Find the ratio of their profit after 1 year.

(A) 3 : 6 : 8
(B) 2 : 1 : 4
(C) 3 : 2 : 6
(D) 4 : 3 : 8

Answer : (D) 4 : 3 : 8

Solution

A:

12000 × 12 = 144000

B:

18000 × 6 = 108000

C:

24000 × 12 = 288000

Ratio:

144000 : 108000 : 288000

Divide by 36000:

4 : 3 : 8

---

Q 4361) A invested ₹15,000 for 10 months and B invested ₹20,000 for 8 months. If the total profit is ₹11,000, find B’s share.

(A) ₹5450
(B) ₹5500
(C) ₹5677
(D) ₹5700

Answer : (C) ₹5677

Solution

A:

15000 × 10 = 150000

B:

20000 × 8 = 160000

Ratio:

150000 : 160000

15 : 16

Total parts:

31

B share:

11000 × 16 / 31

= 5677 (approx)

---

Q 4362) A and B invested ₹18,000 and ₹24,000 respectively. After 6 months, A added ₹6000 more. Find the ratio of their profit after 1 year.

(A) 7 : 8
(B) 7 : 8
(C) 9 : 10
(D) 10 : 11

Answer : (B) 7 : 8

Solution

A:

18000 × 6 = 108000
24000 × 6 = 144000

Total A:

252000

B:

24000 × 12 = 288000

Ratio:

252000 : 288000

Divide by 36000:

7 : 8

---

Q 4363) Two partners share profit in the ratio 5 : 7. If the total profit is ₹48,000, find the difference between their shares.

(A) ₹5000
(B) ₹6000
(C) ₹8000
(D) ₹9000

Answer : (C) ₹8000

Solution

Total ratio:

5 + 7 = 12

Difference ratio:

7 − 5 = 2

Difference:

48000 × 2 / 12

= 8000

Important Partnership Formulas for CUET UG GAT

Profit Ratio:

Investment × Time

Working Partner Salary:

Salary + Profit Share

Remaining Profit:

Total Profit − Salary

New Partner Share:

Old Ratio − New Ratio

---

FAQs on Partnership for CUET UG GAT

Q1. What is the basic formula of partnership?

Profit Share = Investment × Time

---

Q2. How many partnership questions come in CUET?

Usually:

1 to 2 questions

---

Q3. Is partnership an easy topic?

Yes. Partnership is considered a scoring and formula-based topic.

---

Q4. What is the most important rule in partnership?

Multiply:

Investment × Time

---

Q5. Can partnership questions be solved using ratio?

Yes. Most partnership questions are solved using ratio method.

---

Conclusion

Partnership is a highly scoring topic in CUET UG GAT 2026 Quantitative Aptitude. With a clear understanding of the Investment × Time formula, common patterns, and shortcut tricks, students can solve partnership questions quickly and accurately. Regular practice of partnership MCQs improves calculation speed and increases overall exam performance.

Mastering partnership concepts will give you a strong advantage in the quantitative section of CUET and other competitive exams.

Average for CUET UG GAT 2026 – Formula, Tricks, MCQs and Practice Questions

Ratio and Proportion Questions for CUET UG GAT 2026 – Formulas, Tricks, MCQs with Solutions

Percentage – Complete Guide for CUET UG GAT 2026

Profit and Loss Formulas, Tricks and MCQs for CUET UG GAT 2026

CUET2026-Time and Work-22/02/2

---