# Ratio

Ratios are the building blocks of success in CAT, and at Quantifiers, we’ve got the blueprint. Our expert faculty will guide you through the world of ratios, teaching you the art of proportional reasoning, applying ratios in geometry and data interpretation, and emphasizing their real-world applications. Join us, and let’s scale up your skills, ensuring you’re ready to tackle all aspects of CAT’s quantitative challenges.

## Understanding Ratio​

Ratio is your best friend in the quantitative world. It’s about comparing quantities and finding proportions, which comes in handy in various CAT questions. Whether you’re dealing with mixing different substances, splitting profits, or solving geometry problems, the concept of ratio is a fundamental building block. It’s the secret sauce for cracking many questions on your CAT journey.

So, how does the Ratio factor into the CAT? Here’s why it’s such an important topic:

1. Proportional Reasoning: Ratio problems in CAT often require you to find proportional relationships between different quantities. This skill is crucial when dealing with various aspects of business and finance, such as profit sharing, distribution, and scaling.

2. Geometric Applications: Ratios play a significant role in geometry and trigonometry questions in CAT. They help you solve problems involving similar triangles and other geometric properties.

3. Data Interpretation: In Data Interpretation sections of CAT, ratios are frequently used for comparing data and making inferences. A strong grasp of ratios helps you extract meaningful insights from complex datasets.

4. Arithmetic Mean and Proportions: Ratios are fundamental in calculating the arithmetic mean and understanding proportions. These skills are vital for handling CAT questions on averages, mixtures, and various statistical concepts.

Ratios are the secret ingredient to success in CAT, and Quantifiers knows the recipe. Our faculty helps you grasp proportional reasoning, geometric applications, data interpretation, and more. We understand that ratios are not just about CAT; they’re indispensable in various aspects of life. Join Quantifiers to scale up your skills and conquer CAT’s quantitative challenges.

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## Practice Questions for CAT with Solutions

### 1. CAT - Ratio

Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is 70%. His share of profit decreases by Rs. 420 if the overall profit goes down from 18% to 15%. Chintu’s share of profit increases by Rs. 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is

1. 2200

2. 2400

3. 2000

4. 1800

3. 2000

### 2. CAT - Ratio

From a container filled with milk, 9 liters of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in liters, is:

45