**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]

= [(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.

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

Profit

_{2006}= 65% = 812500**Step 2:**

Percentage of Income earned by the company during the
year 2006

Income

_{2006}= Expenditure_{2006}+ Profit_{2006}
Income

_{2006}= 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:**

Profit

_{A}= 70%
Profit

_{B }=55%
Investment

_{ A}= Investment_{ B}= 100% (Expenditure = Investment = 100%) ( Given in the question)
Income

_{A}: Income_{B}
(Expenditure

_{A }+ Profit_{A}) : (Expenditure_{B}+ Profit_{B }) [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}= Expenditure_{2007}+ Profit_{2007}_{}

**Step 2:**

By substituting the values in the above formula,

Income

_{2007}= 100% + 80% = 180%**Step 3:**

Income

_{2007 }= 180% = 27 lakhs

By cross multiplication

Expenditure

_{2007}= 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

Expenditure

_{2005}+ Profit_{2005}
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.

Stay tuned for our next post.

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