Must Solve Data
Interpretation Questions (14 – 02 – 2018)
Directions (1 – 5): Study the following information
carefully and answer the questions given beside:
Tata group acquired four
companies viz. Jaguar, Land Rover, Daimler and Rover & Lanchester. When the
results of the companies for the year 20152016 were summarized, chairman of
Tata group found that the profit of Daimler and Rover & Lanchester were
same, the sales of Daimler were the same as those of Land Rover. Profits of
Jaguar were 10.75% of its sales, whereas the profits of Land Rover were 20% of
its sales. While the total expenses of Daimler were 2.5 times its profits,
sales of Rover & Lanchester were 1.5 times of its profits. The total
expenses of Daimler were 12 million and of Jaguar were 10% less than those of
Daimler. Profits are defined as the difference between sales and total
expenses.
1. Profit of Rover &Lanchester was what
percent of its sales?
a) 66.67%
b) 58.25%
c) 45.00%
d) 36.33%
e) None of these
2. Profit of all four companies together which was
acquire by Tata group was what percent of its sales?
a) 11.00%
b) 25.00%
c) 26.96%
d) 35.11%
e) None of these
3. If all
four companies Jaguar, Land Rover, Daimler and Rover & Lanchester donate
20%,40%,10% and 50% of profit respectively to a school of basic education for
slum children, total donated money is what percentage the profit of all
companies together?
a) 20.20%
b) 41.40%
c) 31.41%
d) 28.23%
e) None of these
4. Find the ratio of average sale to average
profit of all companies together:
a) 751/163
b) 661/178
c) 881/127
d) 791/158
e) None of these
5. Which company has highest efficiency?
[Efficiency = Profit/Sales × 100%]
a) Jaguar
b) Land Rover
c) Daimler
d) Rover and Lanchester
e) Both B and C
Directions
(6 – 10): Study the following pie charts, the first of which shows the number
of females students enrolled in different courses in a college and the second
of which shows the total number of students enrolled in these courses in same
college, and answer the questions that follow.
6. What is the ratio of number of male students
that have enrolled for Physics and Economics courses?
a) 1 : 4
b) 4 : 9
c) 8 : 9
d) 1 : 2
e) None of these
7. By what percentage is the number of female students in
Sociology and economics together are more than the number of male students in
Sociology?
a) 61.9%
b) 187.5%
c) 162.5%
d) 37.5%
e) 100%
8. If a pie chart is drawn that shows distribution
of male students in these courses, then what would be the angle subtended (in
degrees) at centre by sector representing Sociology?
a) 26.67
b) 106.67
c) 120
d) 65.33
e) 71.18
9. If a pie chart is drawn that shows distribution
of male students in these courses, then how many sectors representing different
subjects will subtend an acute angle at centre?
a) 0
b) 1
c) 2
d) 3
e) 4
10. What is the ratio of total number of male
students enrolled in all the courses to the total number of students enrolled
in Anthropology?
a) 27 : 8
b) 27 : 16
c) 9 : 16
d) 9 : 2
e) 2 : 3
Solutions:
(1 – 5): Explanation:
Expenses of Daimler = 12
million
Expenses of Jaguar = 90%
of 12 million = 10.8 million
Given that profit of
Jaguar = 10.75% of its sales
Or, 10.75% of sales =
profit = sales – expenses
Or, expenses of Jaguar = (100
– 10.75) = 89.25% of sales
Or, 10.8 million = 89.25%
of sales
Or, sales of Jaguar =
10.8/89.25 × 100 = 12.1 million
Therefore, profit of
Jaguar = sales – expenses = (12.1 – 10.8) = 1.3 million
Now, expenses of Daimler
= 2.5 times of its profit
Or, profit of Daimler =
12/2.5 = 4.8 million
Or, profit = sales –
expenses ⇒ sales of Daimler = 4.8 + expenses =
4.8 + 12 = 16.8 million
Profit of Rover
&Lanchester = profit of Daimler = 4.8 million
Also, sales of Land Rover
= sales of Daimler = 16.8 million
Profit of Land Rover =
20% of its sales = 20% of 16.8 = 3.36 million
And sales of Rover
&Lanchester = 1.5 times of its profit = (1.5 × 4.8) = 7.2 million.
On the basis of
calculation,
Name
of Companies

Sales(in
Millions)

Expenses(in
Millions)

Profit(in
Millions)

Jaguar

12.1

10.8

1.3

Land
Rover

16.8

13.44

3.36

Daimler

16.8

12

4.8

Rover
&Lanchester

7.2

2.4

4.8

1. A) Required % = Profit of Rover and
Lanchester/Sales of Rover and Lanchester × 100 = 4.8/7.2 × 100 = 66.67%
2. C)
Required % = Total profits of all four companies together/Total sales of four
companies together × 100%
= (1.3 + 3.36 + 4.8 +
4.8)/(12.1 + 16.8 + 16.8 + 7.2) × 100 = 26.69%
3. C) Required
% = 4.48/14.26 × 100 = 31.41%
4. B)
Average sales = (12.1 + 16.8 + 16.8 + 7.2)/4 = 13.22
Average profit = (1.3 +
3.36 + 4.8 + 4.8)/4 = 3.56
Required ratio = 13.22/3.56
= 661 : 178
5. D)
Observing the above explanation we can decide Rover &Lanchester has highest
efficiency
6. C) From
the pie chart of total number of students, we observe that number of students
enrolled in Physics and Economics are 1900 and 2200, respectively.
From the pie chart of
number of female students, we observe that number of female students enrolled
in Physics and Economics are 1100 and 1300, respectively.
⇒ Number of male students enrolled in Physics and Economics
will be (1900 – 1100) and (2200 – 1300), i.e., 800 and 900, respectively.
∴ Ratio of number of
male students that have enrolled for Physics and Economics courses = 800 : 900
= 8 : 9.
7. C) From
the pie chart of total number of students, we observe that number of students enrolled
in Sociology are 1600.
From the pie chart of
number of female students, we observe that number of female students enrolled
in Sociology and Economics are 800 and 1300, respectively.
Number of female students
in Sociology and economics together = 800 + 1300 = 2100
⇒ Number of male students enrolled in Sociology will be (1600
– 800), i.e. 800.
∴ Percentage by which number of female students in Sociology
and economics together are more than the number of male students in Sociology
= (2100 – 800)/800 × 100
= 162.5
8. B) From
the pie chart of total number of students, we observe that number of students
enrolled in Anthropology, Sociology, Physics and Economics are 600, 1600, 1900
and 2200, respectively.
From the pie chart of
number of female students, we observe that number of female students enrolled
in Anthropology, Sociology, Physics and Economics are 400, 800, 1100 and 1300,
respectively.
⇒ Number of male students enrolled in Anthropology, Sociology,
Physics and Economics will be (600 – 400), (1600 – 800), (1900 – 1100) and (2200 – 1300), i.e., 200, 800, 800 and 900,
respectively.
⇒ Number of male students = Total number of students – Number of female students = 6300 – 3600 = 2700
Angle subtended by a
sector in pie chart = (Value of the sector/Sum of all values) × 360 degrees
∴ Angle subtended at centre by sector representing Sociology =
(800/2700) x 360 degrees = 106.67 degrees.
9. B) From
the pie chart of total number of students, we observe that number of students
enrolled in Anthropology, Sociology, Physics and Economics are 600, 1600, 1900
and 2200, respectively.
From the pie chart of
number of female students, we observe that number of female students enrolled
in Anthropology, Sociology, Physics and Economics are 400, 800, 1100 and 1300,
respectively.
⇒ Number of male students enrolled in Anthropology, Sociology,
Physics and Economics will be (600 – 400), (1600 – 800), (1900 – 1100) and
(2200 – 1300), i.e., 200, 800, 800 and 900, respectively.
⇒ Number of male students = Total number of students – Number of female students = 6300 – 3600 = 2700
An acute angle is an
angle that lies between 0 degrees and 90 degrees. The complete angle in pie
chart is 360 degrees that represents sum of all values.
0 degree represents 0
value and 90 degrees represent one fourth of sum of all values.
One fourth of total
number of male students = 2700/4 = 675
So, sectors that show
values more than 0 and less than 675 will make an acute angle.
Clearly, only sector
representing Anthropology (value is 200 which is less than 675) will form an
acute angle.
∴ Answer will be 1 sector.
10. D) From
the pie chart of total number of students, we observe that number of students
enrolled in Anthropology, Sociology, Physics and Economics are 600, 1600, 1900
and 2200, respectively.
Total number of students
= 600 + 1600 + 1900 + 2200 = 6300
From the pie chart of number
of female students, we observe that number of female students enrolled in
Anthropology, Sociology,
Physics and Economics are
400, 800, 1100 and 1300, respectively.
Number of female students
= 400 + 800 + 1100 + 1300 = 3600
⇒ Number of male students = Total number of students – Number
of female students = 6300 – 3600 = 2700
Total number of students enrolled in
Anthropology = 600
∴ Ratio of total number of male students to total number of
students enrolled in Anthropology = 2700:600 = 9:2.