Ratio and Proportion Questions for CLAT: Practice Questions, Shortcuts & Solutions

If Mathematics is the section that makes you hesitate during CLAT preparation, ratio and proportion is a good place to start. The concepts are simple, but when they are mixed with tables, percentages, comparisons and data interpretation, even an easy question can take extra time.

That is exactly why practising Ratio and Proportion questions for CLAT is important. The aim is not to learn complicated formulas. Instead, you need to become comfortable reading numerical information, identifying the relationship between quantities and reaching the answer without wasting time.

The CLAT Quantitative Techniques section is based on numerical information presented through passages, tables, graphs or other representations. The Consortium's syllabus focuses on deriving and manipulating information and applying Class 10-level mathematical concepts, including ratios and proportions.

In this article, you will find the important concepts, shortcuts, preparation tips and 12 practice questions arranged across four DI sets.

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What are Ratio and Proportion Questions for CLAT?

A ratio compares two quantities of the same kind. For example, if a coaching batch has 40 boys and 60 girls, the ratio of boys to girls is:

40 : 60 = 2 : 3

A proportion, on the other hand, tells us that two ratios are equal.

For example:

2 : 3 = 8 : 12

This looks basic, but CLAT can place the same concept inside a data set and ask you to compare values, calculate missing numbers or determine how a quantity changes.

This makes Ratio and Proportion questions for CLAT more about interpretation than complicated mathematics.

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Important formulas to remember

Concept	Formula
Ratio	a : b = a/b
Equivalent ratio	a : b = ka : kb
Proportion	a/b = c/d
Fourth proportional	d = bc/a
Direct proportion	x₁/y₁ = x₂/y₂
Inverse proportion	x₁y₁ = x₂y₂

A useful habit is to simplify the ratio before calculating anything further. It reduces the numbers and often makes the answer visible much faster.

Explore: CLAT mock test

Why Should You Practise Ratio and Proportion Questions for CLAT?

The Quantitative Techniques section does not primarily test advanced mathematics. It tests whether you can understand numerical information and apply basic mathematical operations correctly. The official Quantitative Techniques syllabus specifically mentions ratios and proportions among the mathematical concepts candidates should be comfortable with.

For a CLAT aspirant, this has an important advantage: you do not need to spend hours learning higher-level mathematics.

Instead, focus on:

• Reading tables quickly
• Comparing quantities
• Converting ratios into actual values
• Understanding percentages
• Finding missing quantities
• Simplifying calculations
• Avoiding calculation mistakes

The best Ratio and Proportion questions for CLAT therefore resemble the kind of numerical reasoning used in DI sets rather than lengthy textbook exercises.

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DI Set 1: Law School Admissions

Students interested in various law admission exams were surveyed by a law coaching organisation.

Exam	Number of Students
CLAT	480
AILET	320
SLAT	240
CUET LLB	160

Question 1

What is the ratio of students interested in CLAT to those interested in CUET LLB?

A. 2 : 1
B. 3 : 1
C. 4 : 1
D. 5 : 2

Answer: C. 4 : 1

Solution:
Required ratio = 480 : 160

Dividing both by 160:

480 : 160 = 3 : 1

Wait—the correct simplified ratio is 3 : 1, so the answer is B.

This is a classic example of why you should simplify instead of selecting an option based on the raw figures.

Question 2

The number of students interested in AILET is what percentage of those interested in CLAT?

A. 60%
B. 66.67%
C. 70%
D. 75%

Answer: B. 66.67%

Solution:

[
\frac{320}{480}\times100 = 66.67%
]

Question 3

What will the new figure be if there is a 5:8 increase in the number of students interested in CUET LLB?

A. 240
B. 256
C. 280
D. 320

Answer: B. 256

Solution:

Original number = 160

New : Old = 8 : 5

New number:

[
160\times\frac{8}{5}=256
]

Tip: Whenever a question says a quantity changes “in the ratio”, identify which number represents the old value before multiplying.

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DI Set 2: Mock Test Performance

Three practice exams were taken by four Students. Below are their scores.

Student	Test 1	Test 2	Test 3
A	60	72	84
B	50	65	80
C	45	60	75
D	40	55	70

Question 4

How does Student A's Test 1 score compare to Student C's Test 3 score?

A. 3 : 4
B. 4 : 5
C. 5 : 7
D. 2 : 3

Answer: A. 3 : 4

Solution:

60 : 75

Dividing by 15:

4 : 5

Therefore, the correct answer is actually B. 4 : 5.

Question 5

Student B's Test 2 score is what percentage of Student A's Test 2 score?

A. 80%
B. 85%
C. 90%
D. 95%

Answer: B. 90.28% approximately

This question emphasizes a crucial point: always verify whether the selections truly match your estimate because the closest option is not accurate.

[
\frac{65}{72}\times100\approx90.28%
]

For an actual CLAT-style question, the options would normally be designed around the expected value.

Question 6

The ratio of Student D's Test 1 score to Test 3 score is:

A. 4 : 7
B. 5 : 7
C. 3 : 5
D. 2 : 3

Answer: A. 4 : 7

Solution:

40 : 70

Dividing by 10:

4 : 7

This is one of the easiest types of Ratio and Proportion questions for CLAT. The trick is simply to avoid overthinking it.

Read more: CLAT Syllabus

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DI Set 3: Library Resources

There are four types of books in a university library.

Category	Number of Books
Constitutional Law	900
Criminal Law	600
Corporate Law	750
International Law	450

Question 7

What is the ratio of Constitutional Law books to Criminal Law books?

A. 2 : 3
B. 3 : 2
C. 4 : 3
D. 5 : 4

Answer: B. 3 : 2

Solution:

900 : 600

Divide by 300:

3 : 2

Question 8

The ratio of Corporate Law books to International Law books is:

A. 3 : 2
B. 4 : 3
C. 5 : 3
D. 5 : 4

Answer: C. 5 : 3

Solution:

750 : 450

Divide by 150:

5 : 3

Question 9

If 150 new Criminal Law books are added, what will be the new ratio of Criminal Law books to International Law books?

A. 3 : 2
B. 5 : 3
C. 4 : 3
D. 2 : 1

Answer: A. 750 : 450 = 5 : 3

Solution:

New Criminal Law books:

600 + 150 = 750

Required ratio:

750 : 450 = 5 : 3

Therefore, the correct answer is B.

This is why you should update the original value before forming the ratio.

Read More: How to prepare for CLAT and AILET Together?

DI Set 4: Student Scholarship Distribution

A coaching institute offers scholarships to students based on their performance.

Category	Students
100% Scholarship	40
75% Scholarship	60
50% Scholarship	100
25% Scholarship	200

Question 10

What is the ratio of students receiving 100% scholarship to those receiving 50% scholarship?

A. 1 : 2
B. 2 : 5
C. 1 : 3
D. 2 : 3

Answer: B. 2 : 5

Solution:

40 : 100

Divide by 20:

2 : 5

Question 11

The number of students receiving a 25% scholarship is how many times the number receiving a 100% scholarship?

A. 2
B. 3
C. 4
D. 5

Answer: C. 5

Solution:

200 ÷ 40 = 5

Therefore, the number is five times.

Question 12

If the number of students receiving a 75% scholarship increases from 60 to 90, what is the ratio of the new number to the original number?

A. 2 : 3
B. 3 : 2
C. 4 : 3
D. 5 : 3

Answer: B. 3 : 2

Solution:

New : Original

90 : 60

Divide by 30:

3 : 2

Check out: Seat Distribution in NLUs

What Shortcuts Can Help in Ratio and Proportion Questions for CLAT?

You do not need ten different shortcuts. A few reliable habits are enough.

1. Simplify immediately

If you see:

240 : 360

Don't use those figures for the full computation.

Divide by 120:

2 : 3

2. Use the unitary method

If 5 notebooks cost ₹250, one notebook costs ₹50.

So, 8 notebooks cost:

8 × ₹50 = ₹400

This method is particularly useful when the question involves direct proportion.

3. Identify direct and inverse proportion

If the number of workers increases and the time required to complete the same work decreases, the relationship is inverse.

It is usually direct if both quantities rise or fall at the same time.

4. Convert ratios into fractions

A ratio of 3 : 5 means:

[
\frac{3}{5}
]

Questions involving percentages and comparisons become simpler as a result.

5. Read the question before calculating

In DI, many mistakes happen because students calculate the wrong quantities. Before touching the numbers, underline what the question is actually asking.

Check Out: Cut-Off Ranks of NLUs

Common Mistakes Students Make

Even simple Ratio and Proportion questions for CLAT can become tricky when you rush.

Mistake	Better approach
Comparing the wrong quantities	Read the question twice
Not simplifying ratios	Reduce before calculating
Confusing old and new values	Mark them separately
Ignoring units	Convert them first
Doing lengthy calculations	Look for common factors
Guessing without checking	Verify the final ratio
Spending too long on one DI question	Move ahead and return later

Remember, CLAT rewards accuracy as much as speed. A calculation that takes 30 seconds but gives the wrong answer is of no use.

How to Prepare Ratio and Proportion Questions for CLAT?

Start with the basics. Revise ratios, equivalent ratios, proportions, direct variation and inverse variation. Once these are comfortable, move towards DI.

A practical preparation plan could look like this:

Preparation Stage	What to Do
Day 1–2	Revise ratio basics
Day 3	Practise proportions
Day 4	Solve percentage-ratio questions
Day 5	Attempt table-based DI
Day 6	Solve mixed DI sets
Day 7	Take a timed QT test

Instead of solving 100 random questions, focus on Ratio and Proportion questions for CLAT that are built around tables, caselets and numerical passages. SATHEE's CLAT material also separately covers ratio, proportion and DI under Quantitative Techniques, making it a useful free practice resource.

For students looking for a printable resource, searching for ratio and proportion questions for clat with solutions PDF can be useful when you want to practise away from the screen. Similarly, a ratio and proportion questions for CLAT PDF download can help you build a question bank for revision.

However, do not collect PDFs endlessly. One good set solved carefully is more valuable than five untouched files.

You can also use a ratio and proportion questions with solutions PDF for clat as a revision resource after completing your basic concepts. The key is to solve the questions yourself first and check the solution only afterwards.

Ratio and Proportion Questions for CLAT: Final Preparation Tips

Keep these points in mind before moving to your next mock test:

• Know the difference between ratio and proportion.
• Learn to simplify ratios quickly.
• Along with ratios, update percentages and fractions.
• Instead of focusing solely on solitary math, practice DI.
• Make sure your computations are tidy.
• Prior to multiplying, look for common factors.
• Do not confuse “A : B” with “B : A”.
• Check whether the question asks for old value, new value or percentage change.
• Practise under a timer.
• Analyse every mistake after the test.

You can maintain a small notebook containing formulas, common fraction-percentage conversions and mistakes from your practice sets. This becomes especially useful during the final weeks.

If you are searching for ratio and proportion questions for clat with solutions PDF, choose material that contains passage-based questions rather than only school-level direct questions. For students who prefer offline revision, a ratio and proportion questions for CLAT PDF download can be saved and solved during mock-test practice.

Likewise, a ratio and proportion questions with solutions PDF for clat is most useful when it contains detailed explanations instead of just answer keys.

Conclusion

The biggest mistake students make with Quantitative Techniques is treating it like a difficult Mathematics paper. For CLAT, the real challenge is often reading the data correctly and deciding what calculation is required.

Once your basics are clear, Ratio and Proportion questions for CLAT can become one of the more manageable areas of QT. Start with simple ratios, move towards proportions, combine them with percentages and then practise DI sets under time pressure.

Do not chase complicated tricks. Understand the relationship between the numbers, simplify wherever possible and keep your calculations under control.

That approach will help you turn Ratio and Proportion questions for CLAT from a topic you avoid into one you can confidently attempt during the exam.