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
- 5: 7
- 25: 49
- 49: 25
- 7: 5
- 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.
- 6:7
- 7:6
- 1:1
- 2:1
- 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
- Rs. 15,000
- Rs. 10,500
- Rs. 50,000
- Rs. 21,000
- Savings = income - expenditure
- Ratio of savings and expenditure = (10 - 7) : 7 = 3 : 7
- So, saving = × Expenditure = × 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
- 20 rubies and 15 emeralds
- 40 rubies
- 28 rubies and 9 emeralds
- none of these
- 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
- Rs. 20,000
- Rs. 22,000
- Rs. 21,000
- Rs. 23,000
- 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 –
- = 2000
- Then the capital of B was = 11 × 2000 = Rs. 22,000
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Also Read: How to Handle Calculation pressure in Quantitative Techniques here.
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