Pie Charts Examples, Questions and Solutions

Pie charts are a typical type of data representation where data is represented as a part of a circle. The circle represents the total value (or 100%), and the different parts represent certain proportions (or percentage) of the total. In a pie chart, the are length of each sector (and in turn its central angle and area), is proportional to the part it represents.
The origin of the pie chart is traced back to Florence Nightingale in 1858. This was the year when she presented a paper on the causes of deaths in her army in the eastern part of the world.
Following is the pie chart originally developed by Florence Nightingale in the year 1858. (Actually called by her as the ‘Polar Area Diagram’.)

The below graphic gives the number of deaths that occurred from the diseases that could have been prevented (in light grey), those that were the results of wounds (in dark, grey) and those due to other causes (in black).

There are two approaches to constructing a pie chart from any given data.

A) Degree Approach: The central angle in a circle represents $360^{\circ}$ , so any part or segment in pie chart is calculated as a proportion of $360^{\circ}$ .
B) Percentage Approach: In this case, any part or segment in a pie chart is calculated as a part of 100%.

If we convert the same pie chart into the degree format, we will be required to do the following conversions:

Total =	100 =	$360^{\circ}$
Hence =	1% =	$3.6^{\circ}$
Center =	10% =	$36^{\circ}$
North =	20% =	$72^{\circ}$
South =	25% =	$90^{\circ}$
East =	15% =	$54^{\circ}$
West =	30% =	$108^{\circ}$

Limitations of Pie Charts

Despite the pie chart being one of the most important ways to represent data, it is marred by limitations of its own:

Pie charts can be used only when the sum of all categories is given, for example if the categories represent proportions or percentage of a total.
A single pie chart can represent only one continuous variable.

Prerequisites (Related Formulas)
In pie charts, from geometry, we know that the area the sector of a circle must be proportional to the corresponding value of the component.
Since the sum of all the central angle is 360°, we have
Central angle of the component = {(value of the component/Total value) x 360} °.

Significance of Pie Charts

The pie chart has gained prominence due to the following reasons:

In a pie chart, we get a clear picture of the contribution of different sectors to the buildup of the total. E.g.., presentation of budgets.
Comparing two pie charts is easier than comparing two bar charts or any other format of data representation.

Let us see the following data :

Sale value in 2005 = Rs 180 crores
Sale value in 2006 = Rs 204 crores

Example 1: What is the presentation increase in the sales value of the East zone?

Solution: There are two percentage increase (A) Total total sales value of company XYZ is increasing. (B) The percentage contribution of the East zone is increasing.
Percentage increase in The total sales value of the company XYZ = 30%
Percentage increase in the percentage contribution of the East zone = 20%
Hence, the net percentage increase = 56%
(Successive increase of 20% and 30%)

Type of Pie Charts

There are two of pie charts :
(A) Normal Pie Chart
This displays the contribution of each component of the pic.

(B) Exploded Pie Chart

This pie chart has all the characteristics of a normal pie chart, the only addition is that the contribution of individual segments is highlighted.

Solve Examples for Pie Chats

Example 1: The following pie-charts show the distribution of students of graduate and post-graduate levels in seven different institutes in a town. [Bank P.O. 2003]

1. What is the total number of graduate and post-graduate level students is institute R?

A. 8320
B. 7916
C. 9116
D. 8099

Answer: (D)

Required number = (17% of 27300) + (14% of 24700)
= 4641 + 3458
= 8099.

2. What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?

A. 14:19
B. 19:21
C. 17:21
D. 19:14

Answer: (D)

Required ratio = $\frac{21\ % of 24700}{14\ % of 27300} = \frac{(21\times 24700)}{14\times 27300} = \frac{19}{14}$

3. How many students of institutes of M and S are studying at graduate level?

A. 7516
B. 8463
C. 9127
D. 9404

Answer: (B)
Students of institute M at graduate level= 17% of 27300 = 4641.
Students of institute S at graduate level = 14% of 27300 = 3822.
$\therefore$ Total number of students at graduate in institutes M and S

Example 2: The following pie charts exhibit the distribution of the overseas tourist traffic from India. The two charts show the tourist distribution by country and the age profiles of the tourists respectively. [NABARD, 2001]

1. What percentage of Indian tourist went to either USA or UK?

A.40 %
B.50 %
C.60 %
D.70 %

Answer: (B)

(40+10) = 50% (from first chart)

2. The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is ?
A.2:1
B.8:3
C.3:8
D. cannot be determined

Answer: (B)
40:15 = 8:3

3. If amongst other countries, Switzerland accounted for 25% of the Indian tourist traffic, and it is known from official Swiss records that a total of 25 lakh Indian tourists had gone to Switzerland during the year, then find the number of 30-39 year old Indian tourists who went abroad in that year ?

A. Rs.18.75 lakh
B. Rs. 25 lakh
C. Rs. 50 lakh
D. Rs. 75 lakh

Answer: (D)

Tourist traffic from other countries to Swiz is 20%.
Amongst this 20%, 25% of traffic from India.
So, 25% of 20% = 5% corresponds to the Indian traffic in Switzerland.
5 % corresponds to Switzerland's 25 lakh. Hence 15% will be 75 lakh.

Directions for questions 1to 5 : Refer to the following pie chart and solve the questions based on it.
Following is the cost analysis of a book “Pearson’s Guide to Quantitative Aptitude for CAT”.

4. What is the central angle showing the cost of paper?

Answer : $57.6^{\circ}$
Required Angle = $(\frac{16}{100}\times 360)$ = $57.6^{\circ}$

5. If the cost of printing is Rs. 23,400 what would the cost of royalty be?
Answer : Rs 6500

6. If the miscellaneous expenditure amounts to Rs. 18,000 then what is the expenditure on editing?
Answer : None of these.

7. The royalty on the book is less than the editing expenditure by
Answer : 44.44%
If the editing charges are Rs 18, royalty is Rs 10. On Rs 18, it is less by 8. On Rs 100, it is less by $(\frac{8}{18}\times 100)$ % = 44.44%

8. If 5500 copies of the book are published and the miscellaneous expenditure amounts to Rs. 36,960 and the marked price is 40% above the cost price, then the marked price of each copy is
Answer : Rs 117.60
Let the total expenditure ‘be Rs x. Then, 8 : 100 = 36960 : x. So x = Rs 462000. Therefore Cost Price of 5500 copies of the book = Rs 4,62,000. Cost Price of each copy = Rs $(\frac{42,62,000}{500})$ = Rs 84. So, marked price = 140% of Rs 84 = Rs 117.60.

Pie Chart Questions from Previous Year Exams

This test will cover Pie-Chart syllabus of Bank Clerk Exam.

Question 1 of 40

1. Question
1 points
Water supplied by different lakes to
Mumbai city in 1992

Total water supplied by lakes in 1992 = 7200 million gallons per month.

If the population of Mumbai is 1 crore, what is the per capita water consumption per year (in gallons)? [Assume that water supplied by the lakes meets Mumbai's requirement]
- 8760
- 864
- 8640
- None of these.
Correct

Incorrect

$Per\, �capita \, water \, consumption=\frac{Total \, \, consumption}{Populaton}$

$=\frac{7200\times 12}{10}= 8640$
Question 2 of 40

2. Question
1 points
Water supplied by different lakes to
Mumbai city in 1992

Total water supplied by lakes in 1992 = 7200 million gallons per month.

In 1993, because of desilting operations, Vaiterna and Tansa could supply 10% more water than in 1992. If all the other lakes supply the same volume of water as in 1992, what percentage of Mumbai's requirement will Tulsi meet assuming that water supplied by all the lakes meets 90% of Mumbai's requirement?
- 16.3%
- 15.4%
- 14.1%
- 14.7%
- None of these
Correct

Incorrect

It is given that the supply ofVaiterna and Tansa in 1993 was 10% more than that in 1992.
Hence,

$0.1\times 40=4$ %

Now, contribution of Tulsin 1993

$=\frac{17}{104}\times 0.9\approx 15$ %

or according to option it is equivalent 14.7%.
Question 3 of 40

3. Question
1 points
Water supplied by different lakes to
Mumbai city in 1992

Total water supplied by lakes in 1992 = 7200 million gallons per month.

If water supplied by Tulsi and Vaiterna lakes as a proportion of total water supplied in 1992 were to be 3% points less than it actually is, water supplied by Powai and Tansa lakes is 5% more than what it is, then how many millions gallons per month (MgM) more/less than given in the data to 'other lakes' supply, if the total water supplied does not change?
- Increase of 504 MgM
- Decrease of 64.8 MgM
- Increase of 4.8 MgM
- Decrease of 504 MgM
- None of these
Correct

Incorrect

Tulsi and Vaiterna in 1992 (17 + 18)% =35%

3% points less means Tulsi and Vaiterna would form (35-3) i e, 32%

Powai and Tansa in 1992 form = (20 + 22)% = 42%

5% more than means = $\frac{5}{100}\times 42=2.1$ %

The supply of Powai and Tansa in 1992 (5% more than what actually it is) = 42 + 2.1 = 44.1%

Net change = (35 + 42) - (32 + 44.1)

=(77 - 76.1) = O.9% (Decrease)

Hence, supply of other lakes is increased by 0.9%

$=7200\times 0.9$ % = 64.8 million gallons
Question 4 of 40

4. Question
1 points
The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given. below it.

What per cent of the total spendings is spent on Tennis?
- %
- %
- 25%
- 45%
- None of these
Correct

Incorrect

% of money spent on Tennis = $\left ( \frac{45}{360} \times 100\right )$ %

$=\frac{25}{2}$ % =

$12\tfrac{1}{2}$ %
Question 5 of 40

5. Question
1 points
The circle-graph given here shows the spendings of a country on uarious sports during a particular year. Study the graph carefully and answer the questions given. below it.

How much per cent more is spent on Hockey than that on Golf?
- 27%
- 35%
- 37.5%
- 75%
- None of these
Correct

Incorrect

Let the total spendings on sports be Rs a. Then,

Amount spent on Golf = $Rs\left ( \frac{36}{360}\times a \right )= Rs\frac{a}{10}$

Amount spent on Hockey = $Rs\left ( \frac{63}{360}\times a \right )= Rs\frac{7a}{40}$

Now, difference = $Rs\left ( \frac{7a}{40} -\frac{a}{10}\right )=Rs\frac{3a}{40}$

Hence, required %= $\left [ \left ( \frac{3a/40}{a/10} \right )\times 100 \right ]$ %= 75%
Question 6 of 40

6. Question
1 points
The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given. below it.

How much per cent less in spent on Football than that on cricket ?
- 27%
- None of these
Correct

Incorrect

Let the total spendings on sports be T a. Then,

Amount spent on cricket= $Rs\left ( \frac{81a}{360} \right )=Rs\frac{9a}{40}$ %

Amount spent on Football= Rs $\frac{54a}{360}=Rs\frac{3a}{20}$

Now, difference= Rs $\left ( \frac{9a}{40}-\frac{3a}{20} \right )= Rs \frac{3a}{40}$

Now, required %= $\left [ \frac{3a/40}{9a/40}\times 100 \right ]$ %

$\frac{100}{3}$ %= $33\tfrac{1}{3}$
Question 7 of 40

7. Question
1 points
The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given. below it.

If the total amount spent on sports during the year was ( 2 crore, the amount spent on Cricket and Hockey together was
- 800000
- 8000000
- 12000000
- 16000000
- None of these
Correct

Incorrect

Amount spent on Cricket and Hockey together

Rs $\left [ \frac{\left ( 81+63 \right )}{360} \times 2\right ]crore= Rs\, � 0.8 crore= Rs\, �8000000$
Question 8 of 40

8. Question
1 points
Share of Revenue obtained from each type (by Acity) of connection sold by VSNL out of total revenue VSNL from sales of connections (for the year 2001)

Total revenue from sale of connections by VSNL in 2001 Rs 15 lakh

Total number of connections - 10000

If VSNL's revenue from sales of 1 Mbps--connections in 2000 was Rs 220000 then what is the percentage increase in the same from 2000 to 2001?
- 36.36%
- 33.33%
- 28.56%
- 23.21%
- None of these
Correct

Incorrect

VSNL's revernue from 1 Mbps connection in

$2001 = \frac{72}{360}\times 15= Rs 3 lakh$

and its revenue from 1 Mbps connection in

and its revenue from 1 Mbps connection in 2000 = Rs 220000

Increase = 300000 - 220000 = 80000

Hence, % increase = $\frac{80000}{220000}\times 100=36.36$ %
Question 9 of 40

9. Question
1 points
Share of Revenue obtained from each type (by Acity) of connection sold by VSNL out of total revenue VSNL from sales of connections (for the year 2001)

Total revenue from sale of connections by VSNL in 2001 Rs 15 lakh

Total number of connections - 10000

In 2001, GE capital decided to purchase fifty 1 Mbps connections and hundred 512 kbps connections from VSNL, which gives a bulk discount of 12.5% on any total purchase exceeding T 10000 in value, then what is the amount that GE capital pays for these connections given that L Mbps connections from 25% and 512 Kbps connections form 20% of the total number of connections?
- 13125
- 12260
- 14000
- None of these
- Cannot be determined
Correct

Incorrect

Number of 1 Mbps connections = 25% of 10000

$=\frac{25}{100}\times 10000=2500$

Number of 5 /2 kbps connection =20% of 10000

Hence, amount paid by

$GE=\frac{\left ( 100-12.5 \right )}{100}\times \left ( 9000+6000 \right )$

$=\frac{87.5}{100}\times 15000= Rs 13125$

$=\frac{20}{100}\times 10000=2000$

Cost of hundred s 5/2 kbps connection

$=1500000\times \frac{43.2}{360}\times \frac{1}{2000}\times 100=Rs 900$

Cost of buying fifty 1 Mbps connections

$=1500000\times \frac{72}{360}\times \frac{1}{2500}\times 50=Rs 600$
Question 10 of 40

10. Question
1 points
Share of Revenue obtained from each type (by Acity) of connection sold by VSNL out of total revenue VSNL from sales of connections (for the year 2001)

Total revenue from sale of connections by VSNL in 2001 Rs 15 lakh

Total number of connections - 10000

VSNL's revenue from 2 Mbps connection is what percentage of the revenue from 512 Kbps connections in 2000, given that the revenue from 2 Mbps connections has increased by 25% and that of 512 Kbps by 20% from 2000 to 2001?
- 222%
- 320%
- 420%
- 347%
- Cannot be determined
Correct

Incorrect

Connection 2001 2000

2 Mbps $\frac{15\times 44}{360}= Rs 6 lakh$ $\frac{100}{125}\times 6$

512 kbps $\frac{15\times 43.2}{360}= Rs 1.8 \, lakh$ $\frac{100}{120}\times 1.8= Rs 1.5 lakh$

Hence required% = $\frac{4.8}{1.5}\times 100=320$
Question 11 of 40

11. Question
1 points
Share of Revenue obtained from each type (by Acity) of connection sold by VSNL out of total revenue VSNL from sales of connections (for the year 2001)

Total revenue from sale of connections by VSNL in 2001 Rs 15 lakh

Total number of connections - 10000

What is the approximate ratio of the revenues from 256 Kbps connections to that of a 128 Kbps connections in 2001?
- 1.07
- 1.38
- 1.26
- 1.14
- None of these
Correct

Incorrect

Required ratio = 38.4 : 33.6 = 1 .14:1
Question 12 of 40

12. Question
1 points
Share of Revenue obtained from each type (by Acity) of connection sold by VSNL out of total revenue VSNL from sales of connections (for the year 2001)

Total revenue from sale of connections by VSNL in 2001 Rs 15 lakh

Total number of connections - 10000

If the revenue from 2 Mbps connections increase by Rs 2 lakh from 2001 to 2002, then what is the approximate angle subtended by 2 Mbps connections in the pie-chart drawn for the year 2002. Given that the revenue from all other types of connections remains the same from 2001 t0 2002?
- 170
- 163
- 154
- 145
- None of these
Correct

Incorrect

Connection 2001 2000

2 Mbps $\frac{144}{360}\times 15= Rs 6 lakh$ (6+2)=Rs 8 lakh

Angle subtended by 2 Mbps Connections

$=\frac{8}{15+2}\times 360$ = 169.41= 170
Question 13 of 40

13. Question
1 points
Total Sun rays received in 1 min = 3600 unit

If the human body can withstand a maximum of 9720 unit of IR rays, when exposed to the sun continuously, then what is the maximum time (in minutes) that any person could stand in the sun without crossing the threshold limit of IR rays?
- 19
- 23
- 27
- 29
- None of these
Correct

Incorrect

Amount of IR rays received in 1 min

$=\frac{36}{360}\times 3600=360\, \, �Unit$

Maximum tolerable limit of IR rays =9720 unit

Hence, maximum tirne one can be exposed to the sun

$=\frac{9720}{360}= 27 min$
Question 14 of 40

14. Question
1 points
Total Sun rays received in 1 min = 3600 unit

The amount of Beta rays in 10 min of sun rays is how many times the amount of IR rays in B min of sun rays?
- 1.33
- 1.44
- 1.67
- 1.55
- None of these
Correct

Incorrect

Beta rays in 10 min of sunshine

$=\frac{18}{360}\times 3600\times 3= 1800\, Unit$

IR rays in 3 min of sunshine

$=\frac{36}{360}\times 3600\times 3= 1080\, Unit$

Hence, required ratio $=\frac{1800}{1080}=1.67 \, \, times$
Question 15 of 40

15. Question
1 points
Total Sun rays received in 1 min = 3600 unit

How many minutes of exposure to the sun in a day would be enough to ensure that the body receives enough amount of vitamin D, given that the body requires 40 unit of vitamin'D every day and that 30 unit of Beta rays generate in 1 unit of vitamin D?
- None of these
Correct

Incorrect

Beta rays in 1 min = $\frac{3600}{360}\times18= 180 \, unit$

180 Unit of Beta rays= $\frac{1}{30}\times 180= 6\, �unit\, �of \, vitamin\, �D$

Now, 6 unit of vitamin D are generated in = 1 min

Hence , 40 unit of vitarnin D will be generated in

$=\frac{1}{6}\times 40=6\tfrac{2}{3}$
Question 16 of 40

16. Question
1 points
Total Sun rays received in 1 min = 3600 unit

The amount of Atpha rays received in 2 mill is how much more/less than the amount of Radio waves, received in 4 min?
- 1200 unit less
- 1320 unit more
- 1440 unit less
- 1600 unit more
- None of these
Correct

Incorrect

Alpha rays received in 2 min

$=\frac{36}{360}\times 3600\times 2= \, 720\, �unit$

Radio waves received in 4 min

$=\frac{54}{360}\times 3600\times 4=2160\, \, �unit$

Hence, Alpha rays received in 1440 unit less than Radio waves.
Question 17 of 40

17. Question
1 points
Total Sun rays received in 1 min = 3600 unit

If presently the ozone layer in the atmosphere reflects away 60% of the sun rays, then what would be the amount of Gamma rays received in 1 min, if the ozone layer were to completely disappear?
- 100 unit
- 200 unit
- 300 unit
- 400 unit
- None of these
Correct

Incorrect

Amount of gamma rays=

$=\frac{100\times 180}{60}= 300\, \, �unit$
Question 18 of 40

18. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
- 15
- 24
- 54
- 48
- None of these
Correct

Incorrect

Central angle corresponding to royality

15 % of 360⁰= $\frac{15}{100}\times$ 360⁰= 54⁰
Question 19 of 40

19. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

Which two expenditures together have a central angle of 108⁰?
- Binding cost and promotion cost
- Paper cost and royality
- Binding cost and Printing cost
- Paper cost and Printing cost
- None of the above
Correct

Incorrect

Central angle of 360⁰ $=\frac{108}{360}\times 100$ % of total expenditure = 30% of total expenditure

From the pie-chart,

Binding cost + Transportation cost

=(20 + 10)% of total expenditure

= 30% of the total expenditure
Question 20 of 40

20. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

If the difference between the two expenditures are represented by 18o in the pie-chart, then these expenditures possiblY are
- Binding cost and promotion cost
- Paper cost and royality
- Binding cost and Printing cost
- Paper cost and Printing cost
- None of the above
Correct

Incorrect

Central angle of 18⁰ $=\left ( \frac{18}{360}\times 100 \right )$ % of total expenditure = 5% of the total expenditure

From the pie-chart,

Paper cost - Printing cost

(25 -20)% of total expenditure

= 5% of total expenditure
Question 21 of 40

21. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

If for an edition of the book, the cost of paper is Rs 56250, then find the promotion cost for this edition.
- 20000
- 22500
- 25500
- 28125
- None of these
Correct

Incorrect

Let the promotion cost for this edition be Rs a

Then, 25:10 = 56250 : a

$\Rightarrow \, \, \, \, a=Rs\left ( \frac{56250\times 10}{25} \right )=Rs\, 22500$
Question 22 of 40

22. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

If for a certain quantity of books, the publisher has to pay Rs 30600 as printing cost, then what will be the amount of royalty to be paid for these books?
- Rs 19450
- Rs 21200
- Rs 22950
- Rs 26150
- None of these
Correct

Incorrect

Let the amount of royalty to be paid for these books be Rs b.

Then, 20 : 15 = 30600 : b

$\Rightarrow \, \, a=Rs\left ( \frac{30600\times 15}{20} \right )= Rs 22950$
Question 23 of 40

23. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

The price of the book is marked 20Vo above the cost of paper . If the marked price of the book is t 180, then what is the cost of the pup", used in a single copy of the book?
- Rs 36
- Rs 37.50
- Rs 42
- Rs 44.26
- None of these
Correct

Incorrect

Let the cost of paper for a single book be x.

Then, 120:25 = 180: x

$\Rightarrow �\, \, \, Rs\left ( \frac{25\times 180}{120} \right )= Rs \, 37.50$
Question 24 of 40

24. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

For an edition of 12500 copies, the amount of royalty paid by the publisher is Rs 284250. what should be the selling price of the book if the publisher desires a profit of 5%?
- Rs 152.50
- Rs 157.50
- Rs 162.50
- Rs 180
- None of these
Correct

Incorrect

Let the selling price of this edition (of 12b00 books) be y.

Then, 120:25= 180: x

$\Rightarrow \, \, y= Rs\left ( \frac{105\times 281250}{15} \right )= Rs \, \, 1968750$

Hence, selling price of one book

$\Rightarrow \, \, =\left ( \frac{1968750}{12500} \right )= Rs \, \, 157.50$
Question 25 of 40

25. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

If 5500 copies are published and the transportation cost on them amounts to Rs 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%?
- Rs 187.50
- Rs 191.50
- Rs 175
- Rs 180
- None of these
Correct

Incorrect

Let the selling price of 5500 books be Rs Z. Then,

$\Rightarrow \, \,$ 10: (100+25) = 82500 : Z

$\Rightarrow \, \, Z=Rs\, \left ( \frac{125\times 82500}{10} \right )= Rs\, �1031250$

Hence, the selling price of one book

$= Rs\, \left ( \frac{1031250}{5500} \right )= Rs\, \, 187.50$
Question 26 of 40

26. Question
1 points
The following pie-chart shows the percentage distribution of the expenditure incurred in publishlng a book. Study the pie-chart and answer the question s based on it.

Various expenditures (in percentage)
incurred in Publishing a hook

Royalty on the book is less than the printing cost by
- 5%
- 45%
- 20%
- 25%
- None of these
Correct

Incorrect

Difference between printing cost of book and royalty on books = (20 - 15')% of cost price = 5% of cost price

Hence , % difference $=\frac{Difference}{Printing\, \, �Cost}\times 100$ %

$=\left ( \frac{5}{20} \times 100\right )$ % = 25%
Question 27 of 40

27. Question
1 points
Foreign investments flows by different
categories in 1996-97

Total investment flows = US $ 5706 million
what was the value of the total investment flows through euro equities?
- 1000
- 960
- 915
- 900
- None of these
Correct

Incorrect

VAlue of investment through Euro equities

= 16% of 5706

$=\frac{16}{100}\times 5706= 913 \, \, million$
Question 28 of 40

28. Question
1 points
Foreign investments flows by different
categories in 1996-97

Total investment flows = US $ 5706 million
What is approximately the ratio of investment flows through FIIs to NRIs?
- 1:3
- 3:1
- 3.3:1
- 1:3.3
- None of these
Correct

Incorrect

Ratio of FII investment to NRIs investment

$=\frac{33}{11}ie, \, \, 3:1$
Question 29 of 40

29. Question
1 points
Foreign investments flows by different
categories in 1996-97

Total investment flows = US $ 5706 million

In the FII sector, how many degrees approximately should be in the central angle?
- 120
- 210
- 33
- 160
- None of these
Correct

Incorrect

33% of the quantity will be distributed for

$=\frac{360}{100}\times 33= \, 118.80\, \approx \, 120$
Question 30 of 40

30. Question
1 points
Foreign investments flows by different
categories in 1996-97

Total investment flows = US $ 5706 million

If the total investment flow were to be doubled and FIIs were to be halved in the next year, what would be the proportion of FIIs in the total investment flows?
- 17%
- 6.5%
- 8.25%
- 12.3%
- None of these
Correct

Incorrect

Total investment in next year

$=5706\times 2=\, 11412 million$

FII next year invetment $=\frac{5706\times 0.33}{2}\approx 942$

Hence, proportion of FIIs in total investment flow

$=\frac{942}{11412}\times 100=\, 8.25$ %
Question 31 of 40

31. Question
1 points
Foreign investments flows by different
categories in 1996-97

Total investment flows = US $ 5706 million

If the inflows in the RBI were to the tune of US $ 500 million, what would be the total flows for the year?
- 10000
- 20000
- 25000
- 15000
- None of these
Correct

Incorrect

Let the total inflows be a.

Now, 500 million would be 2% of the total flows for the year 1997

2% of a = 500

$\Rightarrow \, \, a=\frac{500}{2}\times 100=25000$
Question 32 of 40

32. Question
1 points
Percentage of students in various courses (A, B,C, D, E, F) and Percentage of girls out of these.

Total students : 1200

(800 girls + 400 boys)

Percentage in various courses

Total girls : 800

Percentage of girls in courses

For course D what is the respective ration of boys and girls??
- 3:4
- 4:5
- 3:5
- 5:6
- None of these
Correct

Incorrect

No. of girls for course D =30 % of 800

$=\frac{30}{100}\times 1200=240$

No. of students for course D =35% of 1200

$=\frac{35}{100}\times 1200=420$

Now, no. of boys (420 - 240) = 180

Hence, required. ratio = 180 : 240 =3 :4
Question 33 of 40

33. Question
1 points
Percentage of students in various courses (A, B,C, D, E, F) and Percentage of girls out of these.

Total students : 1200

(800 girls + 400 boys)

Percentage in various courses

Total girls : 800

Percentage of girls in courses

For which pair of courses is the number of boys the same?
- E and F
- A and D
- C and F
- B and D
- None of these
Correct

Incorrect

Course Number of boys

E 12% of 1200 - 14% of 800 = 144-112=32

F 13% of 1200 - 14% of 800= 156-112=44

A 20% of 1200 - 30% of 800 = 240 -240 = 0

D 35% of 1200 - 30% of 800= 420-240=180

C 5% of 1200 - 2% of 800= 60-16=44

Hence, number of boys are same in F and C
Question 34 of 40

34. Question
1 points
Percentage of students in various courses (A, B,C, D, E, F) and Percentage of girls out of these.

Total students : 1200

(800 girls + 400 boys)

Percentage in various courses

Total girls : 800

Percentage of girls in courses

For course E, the number of girls is how much percent more than the boys for course E?
- 250
- 350
- 150
- 80
- None of these
Correct

Incorrect

No. of guls for course E = 14% of 800

$=\frac{14}{100}\times 800=112$

Hence required %= $=\frac{112-32}{32}\times 100$

$=\frac{80}{22}\times 100= 250$ %
Question 35 of 40

35. Question
1 points
Percentage of students in various courses (A, B,C, D, E, F) and Percentage of girls out of these.

Total students : 1200

(800 girls + 400 boys)

Percentage in various courses

Total girls : 800

Percentage of girls in courses

For which course is the number of boys the minimum?
- E
- F
- C
- A
- None of these
Correct

Incorrect

we can clarify that there are minimum boys in course A.
Question 36 of 40

36. Question
1 points
Percentage of students in various courses (A, B,C, D, E, F) and Percentage of girls out of these.

Total students : 1200

(800 girls + 400 boys)

Percentage in various courses

Total girls : 800

Percentage of girls in courses

How many girls are in course C?
- 44
- 16
- 40
- 160
- None of these
Correct

Incorrect

Number of grrls in course C = 2% of

$800=\frac{2}{100}\times 800=16$
Question 37 of 40

37. Question
1 points
A survey conducted on 5800 villagers staying in various villages and having various favourite fruits

Favourite fruits People staying in various villages

Mango is the favourite fruit of 50% of the people from village C. People having their favourite fruit as mango from village C form approximately what per cent of the people having their favourite fruit as mango from all the villages together?
- 48
- 53
- 61
- 57
- 45
Correct

Incorrect

Population of village A $=\frac{22}{100}\times 5800=1276$

Population of village B $=\frac{21}{100}\times 5800=1218$

Population of village C $=\frac{32}{100}\times 5800=1856$

Population of village D $=\frac{25}{100}\times 5800=1450$

No. of people liking mango frorn all the villages

$=\frac{28}{100}\times 5800=1624$

No. of people liking mango from village C

$=\frac{50}{100}\times 1856=928$

Hence, required % $=\frac{928}{1624}\times 100=57$
Question 38 of 40

38. Question
1 points
A survey conducted on 5800 villagers staying in various villages and having various favourite fruits

Favourite fruits People staying in various villages

20% of the people from village D have banana as their favourite fruit and 12% of the people from the same village have guava as their favourite fruit. How many people from that village like other fruits?
- 764
- 896
- 874
- 968
- None of these
Correct

Incorrect

Population of village A $=\frac{22}{100}\times 5800=1276$

Population of village B $=\frac{21}{100}\times 5800=1218$

Population of village C $=\frac{32}{100}\times 5800=1856$

Population of village D $=\frac{25}{100}\times 5800=1450$

% of people liking banana and guava from village D = 32

Hence, number of people who like other fruits= 68% of 1450

$=\frac{68}{100}\times 1450=986$
Question 39 of 40

39. Question
1 points
A survey conducted on 5800 villagers staying in various villages and having various favourite fruits

Favourite fruits People staying in various villages

How many people in all have custard apple as their favourite fruit?
- 850
- 864
- 870
- 812
- None of these
Correct

Incorrect

Population of village A $=\frac{22}{100}\times 5800=1276$

Population of village B $=\frac{21}{100}\times 5800=1218$

Population of village C $=\frac{32}{100}\times 5800=1856$

Population of village D $=\frac{25}{100}\times 5800=1450$

No. of people who like custard apple = 15% of 5800

$=\frac{15}{100}\times 5800=870$
Question 40 of 40

40. Question
1 points
A survey conducted on 5800 villagers staying in various villages and having various favourite fruits

Favourite fruits People staying in various villages

50% of the people from village B have banana as their favourite fruit. How many people from other villages have the same favourite fruit?
- 1334
- 551
- 1020
- 609
- None of these
Correct

Incorrect

Population of village A $=\frac{22}{100}\times 5800=1276$

Population of village B $=\frac{21}{100}\times 5800=1218$

Population of village C $=\frac{32}{100}\times 5800=1856$

Population of village D $=\frac{25}{100}\times 5800=1450$

No. of people who like banana frorn all villages

$=\frac{20}{100}\times 5800=1160$

No. of people liking bananas from village B

$=\frac{50}{100}\times 1218=609$

Hence, required nur:nber of people = 1160-609=551