# Data Interpretation IV - Questions on Bar Graph and Line Graph from Data Interpretation

In this post we will solve questions that are asked on Bar Graph and Line Graph from Data Interpretation for IBPS PO and SSC CGL.

Every year, in every paper, Data Interpretation questions are asked in SBI PO, IBPS PO and SSC CGL. Data Interpretation questions from the quantitative aptitude section are the most important yet easy questions that can be solved via little tips and tricks. There are different types of data Interpretation questions, one such type is Graphs - Bar Graph and Line Graph.

It is important to have a firm grip on the basics of Data Interpretation to solve Data Interpretation for IBPS PO and SSC CGL. There are generally three types of Data Interpretation Questions for IBPS Po and SSC CGL- Tabular Form, Pie Chart and Graphs- Bar Graph and Line Graph. Tabular form and Pie Chart has been discussed in our previous posts. In this post we will discuss questions on Bar Graph and Line Graph.

What is a Graph?
A graph is a pictorial representation of data in an organized structure. A graph shows the relationship between two variables, each variable measured along a pair of axis at right angle. A graph is the easiest tool to represent a data. A graph is drawn between X and Y axis, where x axis is a horizontal line while Y axis is a vertical line.

There are different types of graphs - Histogram, Pictograph. Bar graph, Line Graph etc.
Let us now discuss few questions on Bar Graph and Line Graph.

What is a Bar Graph?
A bar graph is a graph in which data is plotted on the axis with the help of bars. A bar graph makes the comparison and evaluation easy for various statistical parameters. The major advantage of bar graphs is that they help in visual estimation. There are different types of bar graphs-

On the basis of axis - Vertical and Horizontal bar graphs

On the basis of No. of bars - Single, multiple or cluster and Staged bar graph.

Example: Questions on Bar Graph and Line Graph from Data Interpretation for IBPS PO and SSC CGL.

Problem:

Question 1: Approximately, what is the average population of state A for all the given years?
1) 65 lakhs  2)50 lakhs  3)48 lakhs  4) 58 lakhs  5) 52 lakhs

Solution:
Step 1:
Total population of State A = 410 Lakhs

Step 2:
Average  Population of State A = Total population of State A / Number of Years

Step 3:
By substituting the values in the formula,
410/ 7 = 58.7

Therefore, The approx average population of State A is 58% - option 4.

Question 2: What is the ratio of the total population of state A for the years 2001, 2002 and 2003 together to the population of state B for 2005,2006 and 2007 together.

*Tip - We need to find ratios.

Solution:
Step 1:
As we need to find ratio,
State A (2001 + 2002 + 2003) : State B(2005 + 2006 +2007)

Step 2:
By substituting the values in the above formula,
(40 + 45 + 60) : (80+ 90+100) (Substituting the values in the formulas)

Step 3:
By simplification,
= 145 : 270
= 29:54

Therefore the ratio of number of people in the state A( 2001 + 2002 + 2003)to the number of people in the state B( 2005 + 2006+ 2007) is 29 : 54

Question 3:  What is the percentage rise in population of state B from the year 2003 to 2004?
*Tip: We need to find the percentage change

Solution:
Step 1:
As we need to find the percentage rise in the population, we use
Percentage Increase  = [(final - Initial) /Initial] x 100
=Difference /Initial x 100
Percentage Increase =  (Population of state B during 2004 - 2003/ 2003) x 100

Step 2:
By substituting the values in the formulas,
= [(70 - 60)/60 x 100]
=10/60 x 100
= 1/6 x 100
= 16.66%

Therefore, there has been a rise in 16.66% of population during the year 2003 and 2004 in State B.

Question 4: What is the difference in the total population of State A and total population for State B for all the years.

Solution:
Step 1:
As we need to find the total difference in the population of State A and State B, we can individually take the difference for each year and add all the differences to find the difference between total population of State A and State B.

Total  A - Total B = Difference(First year) , Difference(Second year) Difference(Third year) , Difference( Fourth year) , Difference(Fifth year) , Difference(Sixth year) , Difference(Seventh year).

Step 2:
By substituting the values in the above formula,
(-10)+5+0+(-20)+(-10)+(-25)+(-20)
= -80 Lakhs

Therefore, The difference in their population is 80 lakhs.

Question 5:For which state and in which year , the percent rise in population from the previous year was the highest.
1) State B - 2003
2) State B - 2002
3) State A - 2004
4) State A - 2005
5) None of these

Solution:
State B - 2003:
Percent rise = Difference / Initial x 100
= (60 - 40)/40 x 100
=  20/40 x 100
=  50%
By using the formula, find out the percentage rise in population for both states respective to all the years and select the correct option.

Do comment below the correct option.

What is a Line Graph?
A line graph represents data in a pictorial form. In case of Bar graph data is discrete but in line graph data is continuous. Because of the continuity of data we can determine the change in the values by simply looking at it.

Problem:

List of profit and loss formula which will help you to solve problem.
• Profit = Income - Expenditure.
• Profit = Selling price - Cost Price
• Percent Profit = Profit / Expenditure x 100
• Expenditure = Cost price = 100%
• Income = Expenditure + Profit
Question 1: If the profit earned in 2008 by the company B is Rs.812500, what was the income of the company in that year?

Solution:
Step 1:
As we know from the graph that the percentage of profit earned by Company B during the year 2006, we get
Profit2006 =   65%  =  812500

Step 2:
Percentage of Income earned by the company during the year 2006
Income2006 = Expenditure2006 + Profit2006
Income2006 = 100% + 65%  = 165%

Step 3:
To find the income earned by the company in 2006 we need to cross multiply the Profit amount with the Income percentage and percentage of profit with unknown Income.

Step 4:
By cross multiplication, we get
Income = 165 x (812500/65)  = 2065500

Therefore, the income earned by the company B during the year 2006 is Rs.812500.

Question 2: If the amount invested by the two companies in the 2005 was equal , what is the ratio of the total income of company A to that of B in 2005?

Solution:
Step 1:
ProfitA = 70%
Profit=55%
Investment A = Investment B = 100% (Expenditure = Investment = 100%) ( Given in the question)
IncomeA : IncomeB
(ExpenditureA + ProfitA) : (ExpenditureB+ ProfitB ) [Formula]

Step 2:
By substituting the values in the above formula,
100% + 70% : 100% + 55%
= 170: 155
= 34:31

Therefore, the ratio of total income of company A and company B is 34:31

Question 3: If the Investment of the company B in 2007 and 2008 were equal , what is the difference between the profits earned in two years , if the income in 2017 Rs.27 lakhs?

Solution:
Step 1:
Income of Company B in 2007 and 2008 are equal. We will first find the Income of 2007,
Income 2007 = Expenditure2007  + Profit 2007

Step 2:
By substituting the values in the above formula,
Income 2007 = 100% + 80% = 180%

Step 3:
Income 2007       = 180% = 27 lakhs
Expenditure2007  = 100% = ?
Step 4:
By cross multiplication
Expenditure2007 = 100 x 27 /18 = 15 lakhs

Step 5:
Difference in profit between 2007 - 2008 = 80% - 90% = 10%
Difference in profit = 10% of 15 lakhs (from the given data in the question)
= 1.5 lakhs

Therefore, The difference in profit in the year 2007 and 2008 is 1.5 lakh

Question 4: If the amount invested by company B in 2004 is 12 lakhs and the income of 2004 is equal to the investment in 2005 ,what is the profit earned in 2005 by B?

Solution:
Step 1:
Expenditure in the year 2004 =100% is 12 lakhs
And profit in 2005 = 55%
That means the income of Company B during the year 2004
Expenditure2005 + Profit2005
100% + 55%= 155%

Step 2:
To find the profit we cross multiply, The expenditure amount with Income percentage and expenditure percentage with unknown Income amount.
Step 3:
By cross multiplication we get,
Income 2004 = 18.6 lakhs
Expenditure 2005 = Income 2004 = 18.6 lakh

Step 4:
As we need to find the profit in the year 2005, we need to
Profit 2005 = 55% of 18.6 lakh = 1023000
Therefore, the profit during the year 2005 is Rs.1023000

Do write in the comment section, how this post helped you in solving questions on Bar Graph and Line Graph from Data Interpretation for IBPS PO and SSC CGL.

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