How to Prepare Line Graph for CLAT

Line Graph for CLAT Exam

A-Line Graph is a new version of Bar Graph representation. If we connect the top of the first Bar to the top of the second Bar and tie these dots, we will get a line. One thing is common between Bar Graph and Line Graph: it is as easy to understand Line Graph as it is to understand Bar Graph. When you repeat the process, it gives us a line graph representation. The A-Line graph looks like this:

CLAT Line Graph: Important Points 

You have to be very careful when solving Line Graphs. Here are some important points to keep in mind when resolving such questions, listed below -

• Read the question and instructions carefully

• Understand and analyze the data provided in the Line Graph Carefully.

• Understand the use of percentage to fraction conversion. Also, read fractions in percentage form for quick reference.

• Try to avoid unnecessary counting.

• Do not think of anything other than the data provided.

• When it comes to long-term addition, subtraction, multiplication, and division, find your ways to achieve the answer in the shortest possible time. You can go through the calculation strategies.

• Clear the basics of data interpretation. Data interpretation questions are based on Average, Percent and Ratio, and Proportion concepts.

• Read tables from 1-30, up to 40 squares, and up to 20 cubes to speed up your calculation during the test.

Line Graph: Important Formulae

• Average = (Total of all prices / Total prices)
• Rate = Comparison of similar words in their simple terms.
• x what percentage of y = x / y * 100
• Percentage Change = (Last Value - Initial Value) / Initial Value * 100
• X is a percentage greater than or less than y = (x-y) / y * 100

Now, let's look at some examples to better understand the topic:

Example 1

The following Line Graph shows the ratio of expenditure to the income of three companies A, B, and C during the period 2008–2013.

As mentioned above reading instructions is very important otherwise you will not be able to understand what these lines are about.

Please understand that - In accordance with Y-Axis there are ratings; The X-Axis is for years; In the middle are the lines.

In the Following Line Graph, it shows that the average cost and revenue of the three companies are A, B and C.

Now look at a few things in the question given above:

(1) For Company A in 2008, if the cost is Rs 0.9, the revenue will be Rs 1, and so on.

(2) The Expenditure to Income Ratio is expressed as E: I and not Income Expenses.

(3) To receive a Benefit, the Cost must be less than Revenue. For 'loss', the opposite is true.

(4) The percentage of gain and loss calculated using the formulas mentioned below -

• Profit = Income - Expenses
• Percentage of Profit = [Profit / Expense] * 100
• Loss = Cost - Income
• Loss Percentage = [Loss / Cost] * 100

(5) Low E: Ratio, high gain.

It can be said that the questions of Expenditure and Income seem difficult to solve. However, let us use the points mentioned above to resolve the following questions and try to resolve them in a short time.

Line Graph for CLAT: Steps to Solve

Question 1: The percentage loss/profit of Company C will be maximum in which of the following years?

[1] 2008
[2] 2009
[3] 2010
[4] 2011

Hint: From point no. 5, It can be concluded that profit is maximum when E: I is the minimum which is 0.3 in 2011.
Hence the answer is [4].

Question 2: If the expenditure of Company A in 2008 and 2009 together is Rs 60 lakhs, then what will be the income in 2008 and 2009 together?

[1] Rs 120 lakhs
[2] Rs 150 lakhs
[3] Rs 66.66 lakhs
[4] Data inadequate

Hint: E: I for Company A in 2008 and 2009 is 0.5 and 0.4. This means for Rs 0.5 Expenditure in 2008, Income is Rs 1 in 2008 and for Rs 0.4 Expenditure in 2009, Income is Rs 1 in 2009. But combined Expenditure of 60 lakhs is given. So, ratios being different, it’s not possible to calculate the Income from the combined expenditure. So, the answer is [4].

Question 3: If the expenditure of Company B in 2008 and 2012 together is Rs 60 lakhs then what will be the income in 2008 and 2012 together?

[1] Rs 66.66 lakhs
[2] Rs 75 lakhs
[3] Rs 48 lakhs
[4] 96 Rs lakhs

Hint: E: I for 2008 and 2012 is 0.8 and 0.8. Ratios being the same, combined Income from the combined Expenditure can be calculated. Income = E/0.8 = 60/0.8 = 75 lakhs.
The answer is [2].