Data Interpretation

Bar Chart 7

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Bar Chart 7

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QUEST ? !
Directions to Solve

The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by

% Profit/Loss =

Income - Expenditure

x 100

Expenditure

Income and Expenditure (in million US $) of five companies in the year 2001.


Question 1
Which company earned the maximum percentage profit in the year 2001?

A
M
B
N
C
P
D
Q
E
R
Correct Answer: Option D

The percentage profit/loss in the year 2001 for various comapanies are:

For M =[(35 - 45)x 100]% = -22.22%  
45

 i.e.,   Loss = 22.22%.
For N =[(50 - 40)x 100]% = 25%   
40

i.e.,   Profit = 25%.
For P =[(40 - 45)x 100]% = -11.11%   
45

i.e.,   Loss = 11.11%.
For Q =[(40 - 30)x 100]% = 33.33%  
30

 i.e.,   Profit = 33.33%.
For R =[(50 - 45)x 100]% = 11.11%  
45

 i.e.,   Profit = 11.11%.

Clearly, the Company Q earned the maximum profit in 2001.

Question 2
In 2001, what was the approximate percentage of profit/loss of all the five Companies taken together?

A
5% profit
B
6.5% profit
C
4% loss
D
7% loss
E
10% profit
Correct Answer: Option A

Total income of all five companies

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

    = 215 million US $.

Total expenditure of all five companies

    = (45 + 40 + 45 + 30 + 45) million US $

    = 205 million US $.

Therefore % Profit =[(215 - 205)x 100]% = 4.88% ~= 5%.
205

Question 3
If the income 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?

A
28.28
B
30.30
C
32.32
D
34.34
E
36.36
Correct Answer: Option B

Let the income of Company Q in 2001 = x million US $.

Then, income of Company in 2001 




=(110x)million US $.
100

Therefore110x= 40     =>     x =(400).
10011









i.e., income of Company Q in 2000 .



=(400)million US $.
11

Let the expenditure of Company Q in 2000 be E million US $

Then, 20 =[(400/11) - E]x 100   
E

 [Ref %Profit = 20% ]
=>     20 =[(400)- 1]x 100
11E

=>     E =400x100= 30.30.
11120

Therefore Expenditure of Company Q in 2000 = 30.30 million US $.

Question 4
For Company R, if the expenditure had increased by 20% in year 2001 from year 2000 and the company had earned profit of 10% in 2000, what was the Company's income in 2000 (in million US $)?

A
35.75
B
37.25
C
38.5
D
41.25
E
42.75
Correct Answer: Option D

Let the expenditure of Company R in 2000 be x million US $.

Then, expenditure of Company R in 2001 








=(120x)million US $.
100

Therefore120x= 45     =>     x = 37.5.
100


i.e., expenditure of Company R in 2000 = 37.5 million US $.

Let the income of Company R in 2000 be I million US $.

Then, 10 =(I - 37.5)x 100   
37.5

    [ Ref %Profit in 2000 = 10%]

 => I - 37.5 = 3.75

    => I = 41.25

i.e., Income of Company R in 2000 = 41.25 million US $.

Question 5
The companies M and N together had a percentage of profit/loss of?

A
12% loss
B
10% loss
C
10% profit
D
12% profit
E
There was no loss or profit
Correct Answer: Option E

Total income of Companies M and N together

    = (35 + 50) million US $

    = 85 million US $

Total expenditure of Companies M and N together

    = (45 + 40) million US $

    = 85 million US $.

Therefore Percent Profit/Loss of companies M and N together

% Profit/Loss =(85 - 85x 100)= 0%.
85

Thus, there was neither loss nor profit for companies M and N together.