The CAT 2025 examination will take place on 30th November 2025. The exam is one of the most competitive and difficult papers held in India. The quantitative ability section can be a very difficult and tricky section for students to work on. The topic of Ratio and Proportion is a relatively easier part of this section. This article highlights some practice questions and tips that students can follow for their preparation of the Quantitative Aptitude section of the CAT exam to score high marks.
CAT 2025 Ratio and Proportion Weightage
Before getting into the questions, it is important for students to know the weightage of the Ratio and Proportion topic. The weightage of this topic in the Quantitative Ability section changes with each passing year. Knowing the weightage of the exam will help students know what to expect and how they can prepare for the topic accordingly.
The CAT Ratio and Proportion weightage across the years are as follows:
Year | Weightage in the QA Section |
2024 | 12% |
2023 | 7% |
2022 | 13% |
2021 | 14% |
2020 | 5% |
2019 | 10% |
2018 | 12% |
Also Read: CAT Notification 2025 Released
CAT 2025 Ratio and Proportion Questions
Provided below is an overview of some questions for the Ratio and Proportion topic that students can use to prepare for the Quantitative Ability section. Practicing for the topic with these questions can significantly help boost a student’s performance on the QA section as well as the CAT examination overall.
The questions are as follows:
Question Number | Question |
1 | In a group of 250 candidates, the percentage of girls was at least 44% and at most 60%. The rest of the candidates were boys. Each candidate opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70%of the boys and 60% of the girls opted for running, then what is the minimum and maximum possible number of students who opted for both swimming and running? |
2. | A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. Then what is the smallest possible total number of fruits in the stock at the beginning of the day? |
3. | When Rajesh's age was the same as the present age of Garima, the ratio of their ages was 3: 2. When Garima's age becomes the same as the present age of Rajesh, then what is the ratio of the ages of Rajesh and Garima? |
4. | In September, the incomes of Kamal, Amal and Vimal were in the ratio 8 : 6 : 5. They rent a house together, and Kamal pays 15%, Amal pays 12% and Vimal pays 18% of their respective incomes to cover the total house rent in that month. In October, the house rent remained unchanged while their income increased by 10%, 12% and 15%, respectively. In October, what is the percentage of their total income that will be paid as house rent nearest to? |
5. | There are four numbers such that average of first two numbers is 1 more than the first number, average of first three numbers is 2 more than average of first two numbers, and average of first four numbers is 3 more than average of first three numbers. What will the difference between the largest and the smallest numbers be? |
6. | Rajesh and Vimal own 20 hectares and 30 hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by Vimal are in the ratio of 5: 3. If the total cultivation area of wheat and mustard are in the ratio 11: 9, then what is the ratio of cultivation area of wheat and mustard in the land owned by Rajesh? |
7. | A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of these grains to the first customer. Then, it sells half of the remaining quantity and an additional 3 kg of these grains to the second customer. Finally, when the shop sells half of the remaining quantity and an additional 3 kg of these grains to the third customer, there are no grains left. What is the initial quantity in kilograms of the grains? |
8. | The salaries of three friends Sita, Gita and Mita are initially in the ratio 5: 6: 7, respectively. In the first year, they get salary hikes of 20%, 25% and 20%, respectively. In the second year, Sita and Mita get salary hikes of 40% and 25%, respectively, and the salary of Gita becomes equal to the mean salary of the three friends. What is the salary hike of Gita in the second year? |
9. | In a village, the ratio of number of males to females is 5:4. The ratio of the number of literate males to literate females is 2: 3. The ratio of the number of illiterate males to illiterate females is 4 : 3. If 3600 males in the village are literate, then what is the total number of females in the village? |
10. | The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing 18 units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be 288000. What is the price of the original precious stone? |
Also Read: Download CAT Previous Years' Papers for the Last 8 Years PDF
CAT 2025 Ratio and Proportion Answers
Provided below is an overview of the answers for the provided questions of the Ratio and Proportion topic for students’ reference. The answers are as follows:
Question Number | Answer |
72 and 80, respectively | |
340 | |
5:4 | |
15:18 | |
15 | |
7:9 | |
42 | |
26% | |
43200 | |
1296000 |
Also Read:
CAT 2025 Ratio and Proportion Tips
Provided below are some useful tips that students can follow to prepare well for the Ratio and Proportion topics on the CAT 2025 exam. The tips are as follows:
- Thorough Your Understanding: With enough practice and developing a strong understanding of the basics of the Ratio and Proportion topic, students can easily score high marks on this topic of the exam. The questions for this topic are not very tough and can help in ensuring high scores on the exam.
- Mock Tests: Practicing using timed-mock tests are key for scoring well on the CAT exam. Mock tests ensure students have a thorough understanding and can help develop speed as well as accuracy. Timing mock tests also helps in vastly improving solving speed for Ratio and Proportion questions on the CAT exam.
- Reduce to the Simplest Form: Reducing ratios to the simplest form possible is key for students reducing time in solving lengthy and tricky calculations. Reducing ratios to the simplest forms ensures students can have quicker calculations as well.
