Study Notes for CLAT 2024: Ratio & Proportion

By Vijeta Bhatt|Updated : May 30th, 2022

CLAT Exam consists of a quantitative techniques section in which Ratio and Proportion is an important topic from which questions come. 

Today, we will discuss the basic concepts and short strategies of an important topic namely Ratio and Proportion To help you score well, we are here to give you basic ideas and tips on how to solve Ratio and Proportion questions.

The ratio is a pair in order of numbers a and b, labelled a / b when b is not equal to 0. A segment is a number in which two values ​​are set equal to one another. For example, if there is 1 boy and 3 girls you can write a rating like this: ...25 per cent of boys (0.25 per cent)

Table of Content

CLAT Ratio and Proportion Questions: What are Ratio and Proportion?

The definition of scale and scale is described here in this section. Both concepts are an important part of Mathematics. In real life too, you can find many examples such as the speed (distance/time) or the price (rupees/meter) of an item, etc., where the concept of measurement is highlighted.

Proportion is the number that means the two values ​​given are equal. For example, the time taken by a train to travel a distance of 100km per hour is equivalent to the time taken to cover a distance of 500km in 5 hours. As 100km / h = 500km / 5hrs.

Definition of Measurement for CLAT Exam

In some cases, comparing two values ​​by way of division is very effective. We can say that a comparison or a simplified form of two values ​​of the same type is referred to as a measure. This relationship gives us how many times one number is equal to another. In simple terms, a scale is a number that can be used to represent one value as a fraction of another.

Two numbers on average can only be compared if they have the same unit. We use scales to compare two things. The symbol used to indicate the scale is ‘:’.

The ratio can be written as a fraction, say 2/5. We happen to see various comparisons or measurements in our daily lives.

Therefore, measurement can be represented in three different ways, such as:

  • a: b
  • a / b

CLAT Ratio and Proportion: Important Points to Remember

  • The ratio should be between values ​​of the same type
  • When comparing two items, the units should be the same
  • There should be an important set of goals
  • Comparisons of two measurements can be made if the measurements are equal to fractions

Definition of Proportion for CLAT Exam

  • Proportion is the number that means the two values ​​given are equal. In other words, a measure means the equivalent of two parts or scales. On average, if two sets of given numbers increase or decrease in the same proportion, then the values ​​are said to be exactly equal to one another.

  • For example, the time taken by a train to travel a distance of 100km per hour is equivalent to the time taken to cover a distance of 500km in 5 hours. As 100km / h = 500km / 5hrs.

  • Scales and scales are called the face of the same coin. If two scales are equal in value, then they are said to be equal. In simple terms, it compares two scales. Ratings are defined by the symbol ‘::’ or ‘=’.

CLAT Ratio and Proportion Questions to Ponder

 
1. If the ratio of the areas of two squares is 25: 49, then the ratio of their perimeters is
 
Choices
  • 5: 7
  • 25: 49
  • 49: 25
  • 7: 5
Solution
  • Let the sides of squares be a1 and a2 respectively.
  • Their areas will be (a1)2 and (a2)2 respectively.
  • So, (a1)2 : (a2)2 = 25 : 49, or a1 : a2 =5:7
  • Their perimeter will be 4a1 and 4a2 respectively.
  • So, required ratio will be 4a1 : 4a2 = 5 : 7.
2. The earnings of A and B are in the ratio 3:4 and their savings are in the ratio 1:2. If A saves 20% of what he earns then the ratio of the expenditures of A and B is
 
Choices
 
  • 6:7
  • 7:6
  • 1:1
  • 2:1
Solution
  • Let the earnings of A and B are 3x and 4x respectively
  • their savings are y and 2y respectively
  • ATQ-
  • 20% of 3x = y
  • 1/5 * 3x = y
  • 3x = 5y
  • X = 5/3y
  • Expenditure of A = 3x – y
  • 3x – 3x/5 = 12x/5
  • Expenditure of B = 4x – 2y
  • 4x – 6x/5 = 14x/5
  • Ratio of expenditure of A and B = 12 : 14 = 6 : 7
3. The ratio of the income to the expenditure of a family is 10 : 7. If the expenditure of the family is Rs. 35,000, then the savings of the family is
 
Choices
 
  • Rs. 15,000
  • Rs. 10,500
  • Rs. 50,000
  • Rs. 21,000
Solution
  • Savings = income - expenditure
  • Ratio of savings and expenditure = (10 - 7) : 7 = 3 : 7
  • So, saving = byjusexamprep× Expenditure = byjusexamprep × 35000 = Rs. 15000

Alternate Solution: Let the income be 10x, then the expenditure will be 7x and

savings will be 3x.

  • Now, 7x = 35,000
    ⇒ x = 5,000
  • Hence, the saving = 3x = 3× 5000 = Rs. 15000
4. You can collect rubies and emeralds as many as you can. Each ruby is worth Rs. 4 crores and each emerald are worth Rs. 5 crores. Each ruby weighs 0.3 kg and each emerald weighs 0.4 kg. Your bag can carry at the most 12 kg. What you should collect to get the maximum wealth?
 
Choices
 
  • 20 rubies and 15 emeralds
  • 40 rubies
  • 28 rubies and 9 emeralds
  • none of these
Solution
  • 0.3 kg Ruby weighs 4 crore
  • 1 kg Ruby weighs = (4 / 0.3) × 1 = 40 / 3 crore
  • Similarly, 0.4 kg Emerald weighs 5 crore
  • 1 kg Emerald weighs = (5 / 0.4) × 1 = 50 / 4 crore
  • It is clear from the above that Ruby costs more than Emerald
  • Hence, in 12kg we should collect to get the maximum wealth in form of = 12 / 0.3 = 40kg
5. A and B started a business with a total capital of Rs. 30,000. At the end of the year, they shared the profit in the ratio of their investments, If their capitals were interchanged, then A would have received 175% more than what he actually received. Find out the capital of B.
 
Choices
 
  • Rs. 20,000
  • Rs. 22,000
  • Rs. 21,000
  • Rs. 23,000 
Solution
  • A would have received 175% more than what he actually received means –
  • If A was receiving 4 earlier then it would be receiving 11 later
  • A B
  • 4 11 (earlier)
  • 11 4 (later)
  • ATQ –
  • byjusexamprep = 2000
  • Then the capital of B was = 11 × 2000 = Rs. 22,000

Start the Free Mathematics Quizzes for CLAT & all Law Exams 2024 here.

Also Read Study Notes for CLAT- Boats & Streams- Sample Questions here.

Also Read: How to Handle Calculation pressure in Quantitative Techniques here.

Also, Check CLAT Syllabus here.

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FAQs

  • Yes, quantitative techniques section carries 13-17 questions in CLAT. One must note that this is a decisive section and candidates who wants to top the test will try to score high in this section.

  • Yes, the candidates appearing in 12th Standard examination can also apply for CLAT.

  • CLAT has 5 sections for UG courses.

  • It is the core of the question paper. One needs to excel in reading and comprehension to attempt the paper holistically.

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