Bar Chart and Bar Graph - Exam Syllabus - Study Material and Important Question

What is Data Introduction ?

Data Introduction is the act of transforming data with the objective of extracting useful information and facilitating conclusions on the basis of the given data. Depending upon the type of data and the questions, we might be required to apply certain statistical tools with various methods to represents the given data.

What is Data ?

Data is means to represents facts, concepts or instruction in a formalized manner suitable for communication, interpretation or processing by humans or other automatic models.

In other words, propositions like measurements or observations of a variable, which may comprise numbers, words or images can be quantified with the help of data.

Data can be a numerical or non-numerical fact and figure related to a particular social, economic or political event etc.

Let us see some examples of data :
Yesterday the Sensex closed at 14,004 points.
25% of the total population of India is below The poverty line.
In the last general elections in India, 40% of the total seats were won by regional parties. Data can be further understood to be an agent to cause the sentiments and even sometimes it can be effect also.

It the data given is distinct and separate, i.e. It can be counted (1, 2, 3……), then it is known as Discrete Data. For example, population of a country, production of cars in a manufacturing plant.

However, if the data takes any value within a finite or infinite interval, then it is known as a Continuous Variable. For example, the percentage of sugar in mangoes or weight/height etc…, are continuous variables.

Bar Chart / Bar Graph

The bar chart, in comparison to the pie chart is more versatile in representing data. It has been proven that representation using lengths as in the case of bar charts is a better indicator of data vis-à-vis pie charts wherein data is categorized in terms of areas.

In the above diagram, the same data has been represented length-wise in the bar chart and area-wise in the pie chart. Obviously, it is easier to see the contribution of the various segments in the bar chart than in the pie chart.

A therefore, is a chart with rectangular bars of lengths proportional to the values which they represent. Usually, the terms ‘bar chart’ and ‘bar graph’ are used interchangeably. It should also be noted that in a bar chart, what matters is the length of the bar and not the width of the bar.

Example: The following bar chart represents the number of seats won by different parties in the last general election.

Significance of Bar Charts

Following are the major specialties of bar charts :
Unlike the pie chart, a single bar chart can be used to compare two, or more than two continuous variables.

Example: The following bar chart represents the number of seats won by different parties in two general elections:

Since the length parameter is easier to study than the area parameter, a bar chart gives a quick understanding of the various ranks. Hence the time taken to understand the data becomes considerably lower in a bar chart as compared to other formats of data presentation.

Types of Bar Charts

There are three types of bar charts :

1) Normal Bar Chart

This is a simple bar chart with the values of different segments represented in the form of bars, which could be either horizontal, vertical or both.

Example: The following bar chart represents the crime cases reported in Delhi in 2007:

Bar Chart with Vertical Bars

Bar Chart with Horizontal Bars

Bar Charts with 3-D Effects

2) Stacked Bar Chart Value-wise

When the same variable is to be represented on more than one parameters like; year etc…,then we can have a stacked bar chart.

Stacked Bar Chart Percentage-Wise

The only difference between value-wise and percentage-wise bar charts is that in the former we apply values to stack that bars and in the latter we apply percentages.

Stacked Bar Charts are also known as Cumulative Bar Charts.

Example: Here, we will see the same data in normal bar chart, value-wise stacked bar chart and stacked bar chart and stacked bar chart percentage wise

3) Normal Bar Chart

Following things can be observed in the above bar chart :

Bars representing different crimes in different years are proportional to the crimes reported.
The above bar chart takes the minimum values as 100, however the same bar chart could take the minimum values as 0 or 50 or anything else as well. The question here is, what will happen if we take the minimum value as 150?

Since some of the values are less than 150, what will happen to those? Find out yourself without using a computer.

Following things can be observed in the above stacked bar chart:

The total number of murders have been added up in one bar and the different years are shown as a part of that total.
The same data could also have been represented by taking the sum of all the crimes reported in a particular year as a total, and the individual crimes as a part of that total.

Stacked Bar Chart Percentage-wise

Following things can be observed in the above stacked bar chart :

The total number of murders have been added up and they equal to 100%; and the mureders reported in different years have been taken as a percentage of that total.
The same data could have been represented by taking the sum of all the crimes reported in a particular year as a total, and the individual crimes as a part of that total.

Important Solved Examples for Bar Charts

Directions for questions 1 to 5: Refer to the following bar graph and solve the questions based on it.
The following bar chart shows the monthly expenditure of a family comprising of five persons over a period of seven months during three different years.

Question 1) In any of the given years, which month see the maximum percentage increase in expenses with respect to the previous month?

Answer: April. This question can be solved by visual inspection.

Question 2) What is the average monthly expenditure of the whole family in the year 2000?

Answer: Rs. cannot be determined. To find the average monthly expenditure during the year 2000, the total income for the year has to be known. In the chart, the income of only seven months is known. Therefore it cannot be determined.

Question 3) In April 2000, What was the percentage increase in expenditure over April 1999?

Answer: 1.2%.
value (April 2000) = 316
Value (April 1999) = 312
Approximate % age increase = 1.2%

Question 4) Which period has shown the same change in trend across all the given three years?

Answer: March-April. The same increasing trend is seen every year during the period March-April.

Question 5) For how many months of the given years the expenditure has been consistently increasing or decreasing?
Answer: 1. Only April Satisfies these conditions.

Important Questions for Bar Chart - From Previous Year Papers

This part will cover Bar Graph Syllabus of IBPS Bank Clerk Exam.

Question 1 of 40

1. Question
1 points
Number of People Contributing Toward Helping

Tsunami Victims From Different Cities

How many more people from City S would have made the ratio 11 : 9 between the number of people contributing from Cities S and T respectively?
- 1500
- 2000
- 5500
- 3500
- None of these
Correct

Incorrect

Let the required no. of people be x.
Then, $\Rightarrow \, \, \frac{3500+x}{4500}=\frac{11}{9}$

$\Rightarrow \, \, 3500\times 9+9x=4500\times 11$

$\Rightarrow \, \, 9x=49500-31500$

9x =18000

x = 2000
Question 2 of 40

2. Question
1 points
Number of People Contributing Toward Helping

Tsunami Victims From Different Cities

Number of people contribution Cities Q and U together form what per cent of the total number of people contributing from all the given cities?
- 30
- 36
- 32
- 38
- None of these
Correct

Incorrect

No. of people contributing from cities Q and U together

= 5500 + 2500 = 8000

Total no. of people contributing from all the cities

= 4000 + 5500 + 5000 + 3500 + 4500 + 2500 = 25000

Required %= $\frac{8000}{25000}\times 100=32$ %
Question 3 of 40

3. Question
1 points
Number of People Contributing Toward Helping

Tsunami Victims From Different Cities

Number of people contributing from how many cities form less than 18% of the total number of people contributing from all cities together?
- 3
- 4
- 2
- 1
- None of these
Correct

Incorrect

18% of 2500= $\frac{18}{100}\times 25000=4500$

Such cities are= P,S, U ie, 3 cities
Question 4 of 40

4. Question
1 points
Number of People Contributing Toward Helping

Tsunami Victims From Different Cities

Approximately by what per cent number of people contributing from City T are more in comparison to the people contributing from City S?
- 38
- 18
- 22
- 29
- 34
Correct

Incorrect

No. of people Contributing from city T = 4500
No. of people contributing from city S = 3500
.'. Required %= $\frac{4500-3500}{3500}\times 100$

= $\frac{1000}{3500}\times 100= 28.57$ %= 29%
Question 5 of 40

5. Question
1 points
Number of People Contributing Toward Helping

Tsunami Victims From Different Cities

What is the respective ratio between number of people contributing from City P to those from City R?
- 5:4
- 4:7
- 7:4
- 5:9
- None of these
Correct

Incorrect

Required ratio = 4000 : 5000= 4:5
Question 6 of 40

6. Question
1 points
Sales of Various Precious Stones in India for
the Period of 1995-1996 to 1999-2000

What is the total sales of Ruby as a per cent of the total sales of precious stones for the given period?
- 17.3 %
- 19.23 %
- 23.1 %
- Cannot be determined
- None of these
Correct

Incorrect

Total sales of Ruby
= 200 + 100 + 200 + 200 + 200 = 900

Now, required % = $\frac{900}{5200}\times 100$ = 17.3%
Question 7 of 40

7. Question
1 points
Sales of Various Precious Stones in India for
the Period of 1995-1996 to 1999-2000

By what per cent is the average annual sales of Emerald for the given period more than the sales of Opal in 1998-99?
- 120 %
- 50 %
- 25%
- 40%
- None of these
Correct

Incorrect

Avg. annual sales of Emerald = $\frac{4500}{5} = 280$

$\therefore$ Required% = $\frac{280-200}{299}\times 100=40$ %
Question 8 of 40

8. Question
1 points
Sales of Various Precious Stones in India for
the Period of 1995-1996 to 1999-2000

For how many years is the sales of Bezel as a percentage of the total sales of precious stones less than that of Topaz?
- one
- two
- three
- four
- None of these
Correct

Incorrect

It is clear from chart.
Question 9 of 40

9. Question
1 points
Sales of Various Precious Stones in India for
the Period of 1995-1996 to 1999-2000

If the sales of Topaz increased from 1994-95 to 1995-96 by 25% and increased from 1999-2000 to 2000-01 by 50%, then what is the difference between the sales of Topaz in 199 4-95 and that in 2000-01?
- 50000 tonnes
- 100000 tonnes
- 140000 tonnes
- 160000 tonnes
- None of the above
Correct

Incorrect

Sales of Topaz in 1994-95

= $�\frac{200000}{1.25}=160000 \, \, tonnes$

Sales of Topaz in 2000-01= $200000\times 1.5= 300000\, \, �tonnes$

Now, required increase= 300000- 160000= 140000 tonnes
Question 10 of 40

10. Question
1 points
Sales of Various Precious Stones in India for
the Period of 1995-1996 to 1999-2000

Which of the given precious stones experienced the highest percentage growth in its sales in any year over that of the previous year for the period 1996-97 to 1999-2000?
- Topaz
- Emerald
- Ruby
- Bezel
- None of these
Correct

Incorrect

Highest % growth can be measured for Topaz.
Question 11 of 40

11. Question
1 points
The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 ta 1998-99. Answer the question s based on, this graph.

Foreign Exchange Reserves of a Country
(in million US $)

The foreign exchange reserves in 1997-98 was how many times that in 199 4-95?
- 0.7
- 1.2
- 1.4
- 1.5
- 1.8
Correct

Incorrect

$Required\, \, �ratio\, \, \frac{5040}{3360}= 1.5$
Question 12 of 40

12. Question
1 points
The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 ta 1998-99. Answer the question s based on, this graph.

Foreign Exchange Reserves of a Country
(in million US $)

What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94?
- 100
- 150
- 200
- 620
- 2520
Correct

Incorrect

$Required\, \, �increase\, \, \frac{5040-2520}{2520}\times 100= 100$ %
Question 13 of 40

13. Question
1 points
The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 ta 1998-99. Answer the question s based on, this graph.

Foreign Exchange Reserves of a Country
(in million US $)

For which year, the per cent increase of foreign exchange reserves over the previous year, is the highest?
- 1992-93
- 1993-94
- 1994-95
- 1996-97
- 1997-98
Correct

Incorrect

Year % increase in reverse during these year compared to previous years

1992-93 40.91%

1994-95 33.33%

1996-97 38.46%

1997-98 16.67%

It is clear that % increase over previous year is highest for 1992-93
Question 14 of 40

14. Question
1 points
The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 ta 1998-99. Answer the question s based on, this graph.

Foreign Exchange Reserves of a Country
(in million US $)

The foreign exchange reserves in 1996-97 were approximately what per cent of the average foreign exchange reserves over the period under review?
- 95 %
- 110%
- 115%
- 125%
- 140%
Correct

Incorrect

Avg. foreign exchange reserves over the given period

$\frac{1}{8}\times 27840 = 3480$

$\therefore$ Required %= $\frac{4320}{3480}\times 100$ %= 124. 14 %= 125%
Question 15 of 40

15. Question
1 points
The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 ta 1998-99. Answer the question s based on, this graph.

Foreign Exchange Reserves of a Country
(in million US $)

The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average reserves, ls
- 2:6
- 3:4
- 3:5
- 4:4
- 5:3
Correct

Incorrect

Average reserve = 3480
Above the average reserve in 1992-93, 1996-97 and 1997-98 three years and rest is in below the average i.e, below 3480.
So, required ratio = 3 :5
Question 16 of 40

16. Question
1 points
Deaths foom AIDS Related Diseases as a
percentage of Cases Diagnosed

Plague's Progress: Number

of New Cases Diagnosed in US

Total number of new AIDS sases diagnosed since 1996 are
- 71000
- 82000
- 63000
- 57000
- None of these
Correct

Incorrect

Total no. of cases diagnosed across the years 1996-2000
=(6+ 11 + 17 +23+ 14)x 1000 = 71000
Question 17 of 40

17. Question
1 points
Deaths foom AIDS Related Diseases as a
percentage of Cases Diagnosed

Plague's Progress: Number

of New Cases Diagnosed in US

In which year, were the maximum number of the deaths due to AIDS?
- 1996
- 1993
- 1999
- 1998
- None of these
Correct

Incorrect

No. of deaths in 1998= $17000\times \frac{87}{100}=14790$

No. of deaths in 1999= $23000\times \frac{45}{100}=10350$
Question 18 of 40

18. Question
1 points
Deaths foom AIDS Related Diseases as a
percentage of Cases Diagnosed

Plague's Progress: Number

of New Cases Diagnosed in US

Which of the following statement can be inferred?

I. AIDS is one of the most serious problems of the
1990's.
II. The proportion of of deaths caused due to AIDS is
declining.
III. AIDS victims are increasing every year.
- I only
- II only
- I, II, III
- II and III only
- None of these
Correct

Incorrect

None of the statement is definitely true.
Question 19 of 40

19. Question
1 points
Deaths foom AIDS Related Diseases as a
percentage of Cases Diagnosed

Plague's Progress: Number

of New Cases Diagnosed in US

If 35% of the total AIDS cases reported in the last B months of a year, what are the total number of reported cases in 2000?
- 14500
- 8800
- 13500
- 21500
- None of these
Correct

Incorrect

No. of cases diagnosed in the first 9 months of 2000 = 14000

Now, total no. of cases diagnosed in 2000

= $\frac{14000}{5}\times 100\simeq 21500$
Question 20 of 40

20. Question
1 points
Analysis of Complaints Received for Washing
Machines of ABC Ltd

In which year was the number of complaints per 1000 washing machines in service the maximum for ABC Ltd ?

(Calculated on the end-of-the-year figures)
- 1988
- 1989
- 1990
- 1991
- Cannot be determined
Correct

Incorrect

Year Number of complaints received per 1000 washing machines

1988 2.5%

1989 3.08

1990 2.86%

1991 2.31%

Hence it is maximum in the year 1989
Question 21 of 40

21. Question
1 points
Analysis of Complaints Received for Washing
Machines of ABC Ltd

If 10% of the washing machines at the end of every year is scrapped from service, what is the approximate number of washing machine in service at the end of 1991? (Assume that 1988 was the first year of operations for ABC Ltd)
- 3.84 lakh
- 3.65 lakh
- 3.5 lakh
- 3.34 lakh
- None of the above
Correct

Incorrect

Year washing soda in services

1988 0.36 lakh

1989 0.585 lakh

1990 0.945 lakh

1991 1.755 lakh

Hence total= (0.36 + 0.585 + 0.945 + 1.755) lakh
=3.65 lakh
Question 22 of 40

22. Question
1 points
Analysis of Complaints Received for Washing
Machines of ABC Ltd

In which two years was the percentage increase in the number of complaints received over the previous year the same?
- 1989 and 1990
- 1989 and 1991
- 1990 and 1991
- No such occurence
- None of the above
Correct

Incorrect

% increase in the no. of complaints is same for the year 1989-90 and 1990-91

= $\frac{3000-2000}{2000}\times 100= 50$ %

and $\frac{4500-3000}{3000}\times 100 = 50$ %
Question 23 of 40

23. Question
1 points
Analysis of Complaints Received for Washing
Machines of ABC Ltd

If 10% of the complaints received in 1991 were not actual complaints but were because of the wrong operation of the washing machines by customers, then what is the approximate number of actual complaints per 1000 washing machines in 1991 (as calculated at the end of the year)
- 21
- 10
- 23
- 12
- None of these
Correct

Incorrect

Actual complaints per 1000 washing machines

= $\frac{4050}{405000}\times 1000= 10$
Question 24 of 40

24. Question
1 points
Analysis of Complaints Received for Washing
Machines of ABC Ltd

If it was found that 'fuse blowing' formed 50% of the complaints in 1988 and the number of such complaints was increasing at 20% per year, then what percentage of complaints in 1991 was due to 'fuse blowing'?
- 19.2 %
- 4.9 %
- 2.1 %
- 6.1 %
- Cannot be determined
Correct

Incorrect

% of complaints of fuse blowing in 1991

= $\frac{no.\, �of \, complaints \, of\, �fuse \, blowing \, in \, 1991}{4500}\times 100$

= $\frac{864}{45}= 19.2$ %
Question 25 of 40

25. Question
1 points
The following bar-graph shows the Income and Expenditure (in million US $) of five companies in the year 2001. The per cent profit or loss of a cornpany is given by

$\left ( Profit/Loss \right )\, percentage=\frac{Income- Expenditure}{Expenditure}\times 100$

Study the graph and answer based on it the questions that are based on it
Income and Expenditure (in million US $) of Five
Companies in the Year 2001

Which Company earned the maximum percentage profit in the year 2001?
- M
- N
- P
- Q
- R
Correct

Incorrect

Company % Profit/ Loss in year 2001

M 22 %

N 25%

p 11.11%

Q 33.33 %

R 11.11%

Hence it is clear that company Q earned the maximum profit
Question 26 of 40

26. Question
1 points
The following bar-graph shows the Income and Expenditure (in million US $) of five companies in the year 2001. The per cent profit or loss of a cornpany is given by

$\left ( Profit/Loss \right )\, percentage=\frac{Income- Expenditure}{Expenditure}\times 100$

Study the graph and answer based on it the questions that are based on it
Income and Expenditure (in million US $) of Five
Companies in the Year 2001

The Companies M and N together had a percentage profit/ loss of
- 12 % loss
- 10% loss
- 10% profit
- 12% profit
- There was no profit no loss
Correct

Incorrect

% profit / loss= $\frac{\left ( 45+40 \right )-\left ( 35+50 \right )}{\left ( 45+40 \right )}\times 100$

= 0% (no profit no loss )
Question 27 of 40

27. Question
1 points
The following bar-graph shows the Income and Expenditure (in million US $) of five companies in the year 2001. The per cent profit or loss of a cornpany is given by

$\left ( Profit/Loss \right )\, percentage=\frac{Income- Expenditure}{Expenditure}\times 100$

Study the graph and answer based on it the questions that are based on it
Income and Expenditure (in million US $) of Five
Companies in the Year 2001

In 2001 what was the approximate percentage of profit/loss of all the five Companies taken together?
- 5 % profit
- 6.5% profit
- 4% loss
- 7% loss
- 10% profit
Correct

Incorrect

Total income of all five companies

= (35 + 50 + 40 + 40 + 50) = 215 million US $

Total expenditure of all five companies

=(45+40 +45+30 +48)

=205 million US $

$�\therefore$ % profit= $\frac{215-205}{205}\times 100$ % = 5%
Question 28 of 40

28. Question
1 points
The following bar-graph shows the Income and Expenditure (in million US $) of five companies in the year 2001. The per cent profit or loss of a cornpany is given by

$\left ( Profit/Loss \right )\, percentage=\frac{Income- Expenditure}{Expenditure}\times 100$

Study the graph and answer based on it the questions that are based on it
Income and Expenditure (in million US $) of Five
Companies in the Year 2001

If the incorne of Company Q in 2001 was 10% more than its income in 2000 and the Company had earned a profit of 20% in 2000, then its expenditure in 2000 (in million US $) was
- 28.28
- 30.30
- 32.32
- 34.34
- 36.36
Correct

Incorrect

Let the income of company Q in 2000 be a million US $.
Then, income of company Q in 2001

= $\frac{110}{100}\,\, �a \, \, million \, US$ $

$\Rightarrow \frac{110}{100}\times a=40$

Let the expenditure of company R in 2000 be million US $

$\Rightarrow \, \, \frac{\left [ \frac{400}{11} - b\right ]}{b}\times 100= 20$

$\Rightarrow \, \, b=\left [ \frac{400}{11}-b \right ]\times 5$

$\Rightarrow \, \, b=\frac{2000}{11}-5b$

$\Rightarrow \, \, 6b=\frac{2000}{11}$

$\Rightarrow \, \, b=\frac{1000}{3}= 30.30$

Hence, Expenditure of company R in 2000 = 30.30 million US $
Question 29 of 40

29. Question
1 points
The following bar-graph shows the Income and Expenditure (in million US $) of five companies in the year 2001. The per cent profit or loss of a cornpany is given by

$\left ( Profit/Loss \right )\, percentage=\frac{Income- Expenditure}{Expenditure}\times 100$

Study the graph and answer based on it the questions that are based on it
Income and Expenditure (in million US $) of Five
Companies in the Year 2001

For Company R, if the expenditure had increased by 20% in year 2001 from year 2000 and the Company had earned a profit of 10% in 2000, what was the Company's income in 2000 (in million US $)?
- 35.75
- 37.25
- 38.5
- 41.25
- 42.75
Correct

Incorrect

Let the expenditure of company R in 2000 be a million US $.

Then, expenditure of company R in 2001

$\left ( \frac{120}{100}\times a \right )\, \, million\, US$ $

$\Rightarrow \, \, \frac{120}{100}\times x=45$

$\Rightarrow a=375$

Let the income of company R in 2000 be b million US $.

$�\Rightarrow \, \, \left (\frac{ b-37.5}{37.5} \right )\times 100=10$

$\Rightarrow \, \, b-37.5= 3.75$

b= 41.25 million US $
Question 30 of 40

30. Question
1 points
The following bar chart shows the daily movement of money market (in t crores) in the month of June.

On which date in June was the ratio of gilts traded to corporate debt, traded the lowest?
- 24
- 22
- 21
- 30
- None of these
Correct

Incorrect

On 21st June, gilt is much lower than corporate
Question 31 of 40

31. Question
1 points
The following bar chart shows the daily movement of money market (in t crores) in the month of June.

What is the mean value of gilts in (t crores) over the last 5 days of June?
- 1820
- 1800
- 3680
- 1060
- None of these
Correct

Incorrect

Required mean value

$\frac{1}{5}\left [ 1300+1500+1000+900+600 \right ]$

= $\frac{1}{5}\times 5300= 1060$
Question 32 of 40

32. Question
1 points
The following bar chart shows the daily movement of money market (in t crores) in the month of June.

It can be inferred that the volume of gilts on 20th June was??
- 900
- 1500
- 1200
- None of these
- Cannot be determined
Correct

Incorrect

The volume do not show a linear trend as average of 19 and 21 is 1200.
Question 33 of 40

33. Question
1 points
The following bar chart shows the daily movement of money market (in t crores) in the month of June.

If the volume of gilts over the last 5 days is twice the volume between 19th and 21st June, then what was the volume of gilts in { crores on 20th June?
- 850
- 760
- 400
- 250
- None of these
Correct

Incorrect

Let required volume of gilts be a.

Then, $1060\times 5=2\left ( 900+a+1500 \right )$

$\Rightarrow 5300= \,2\left ( �2400+a\right )$

$\Rightarrow \, 5300-4800= 2a$

$\Rightarrow \, a=\frac{500}{2}=250\, crore$
Question 34 of 40

34. Question
1 points
The following bar chart shows the daily movement of money market (in t crores) in the month of June.

What was the percentage increase in the ratio of the gilts to corporate debt on 23rd June from the previous day?
- 270.32
- 320.58
- 268.88
- 166.66
- None of these
Correct

Incorrect

The ratio of gilt to corporate debt on 22nd June

= $\frac{900}{1500}$

and on 23rd June= $\frac{800}{500}$

Hence, required % increase = $\frac{\frac{8}{5}-\frac{9}{15}}{\frac{9}{15}}\times 100$

$\frac{15}{9}\times 100=166.66$
Question 35 of 40

35. Question
1 points
The following bar chart shows the daily movement of money market (in t crores) in the month of June.

If on July 1st value of corporate debt increases to 600, what should be the % increase/decrease in value of gilts so that the ratio between gilts and corporate debts remains the same as on 30th June?
- 25 % increase
- 25% decrease
- 33% increase
- 35% decrease
- None of these
Correct

Incorrect

Ratio of gilt to corporate debt on 30th June

= $\frac{600}{450}=\frac{4}{3}$

Such ratio on !st July = $\frac{4}{3}$ then, it will be $\frac{x}{600}=\frac{4}{3}$

$\therefore \, \, x=800$

Hence, % change= $\frac{800-600}{600}\times 100=33$ %
Question 36 of 40

36. Question
1 points
A cosmetic company produces five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 a,re shown. in the following bar-graph. The question s given below are based on this graph.

Sales (in lakh number of packs) of Five Different

Products of a Cosmetic Company during 1995 and.2000

The sales have increased by nearly 55% from 1995 to 2000 in the case of
- lipsticks
- nail enamels
- talcum powder
- shampoo
- conditioners
Correct

Incorrect

Cosmetics % increase from 1995 to 2000

Lipstick 139.06

Talcum powder 94.66

Shampoo 55%

Conditioners 103.39%
Question 37 of 40

37. Question
1 points
A cosmetic company produces five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 a,re shown. in the following bar-graph. The question s given below are based on this graph.

Sales (in lakh number of packs) of Five Different

Products of a Cosmetic Company during 1995 and.2000

During the period L995-2000, the minimum rate of increase in sales is in the case of
- lipsticks
- nail enamels
- talcum powders
- shampoo
- conditioners
Correct

Incorrect

Using solution of previous question, we can say that the minimum rate of, increase in sales from 1995 to 2000 is in the case of shampoos.
Question 38 of 40

38. Question
1 points
A cosmetic company produces five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 a,re shown. in the following bar-graph. The question s given below are based on this graph.

Sales (in lakh number of packs) of Five Different

Products of a Cosmetic Company during 1995 and.2000

The sales of lipsticks in 2000 was by what per cent more than the sales of nail enamels in 2000? (Rounded off to the nearest integer)
- 33%
- 31%
- 28%
- 22%
- 21%
Correct

Incorrect

Required %= $\frac{48.17-37.76}{37.36}\times 100$ % = 28%
Question 39 of 40

39. Question
1 points
A cosmetic company produces five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 a,re shown. in the following bar-graph. The question s given below are based on this graph.

Sales (in lakh number of packs) of Five Different

Products of a Cosmetic Company during 1995 and.2000

The sales of conditioners in 1995 was by what per cent less than the sales of shampoos in 1995?'(Rounded off to the nearest integer)
- 57%
- 36%
- 29%
- 25%
- 19%
Correct

Incorrect

Required %= $\frac{7.88-5.01}{7.88}\times 100$ %= 36%
Question 40 of 40

40. Question
1 points
A cosmetic company produces five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 a,re shown. in the following bar-graph. The question s given below are based on this graph.

Sales (in lakh number of packs) of Five Different

Products of a Cosmetic Company during 1995 and.2000

What is the approximate ratio of the sales of nail enamels in 2000 to the sales of talcum powders in 1995?
- 7:2
- 5:2
- 4:3
- 2:1
- 5:3
Correct

Incorrect

Required ratio= $\frac{37.76}{14.97}\simeq \frac{5}{2}$