Bar Charts Questions & Answers - Page 9

41.

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)/Expenditure x 100

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

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

Correct answer is B

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

Then, income of Company in 2001 = ( 110/100 x x ) million US $.

Therefore 110x/100 = 40 => x = ( 400/11 )

i.e., income of Company Q in 2000 = ( 400/11 ) million US $.

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

Then, 20 = [(400/11) - E]/E x 100 [because %Profit = 20% ]

=> 20 = [ ( 400/11E ) - 1 ] x 100

=> E = 400/11 x 100/120 = 30.30

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

42.

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)/Expenditure x 100

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 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

Correct answer is D

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

Then, expenditure of Company R in 2001 = ( (120/100) x x ) million US $

Therefore 120x/100 = 45 => x = 37.5

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)/37.5 x 100 [ ∵ %Profit in 2000 = 10%]

=> I - 37.5 = 3.75

=> I = 41.25

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

43.

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)/Expenditure x 100

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

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

A.

M

B.

N

C.

P

D.

Q

Correct answer is D

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

For M = [ (35 - 45)/45 x 100 ] % = -22.22% i.e., Loss = 22.22%

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

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

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

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

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

44.

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)/Expenditure x 100

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?

A.

5% profit

B.

6.5% profit

C.

4% loss

D.

7% loss

Correct answer is 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)/205 x 100 ] % = 4.88% ≈ 5%

45.

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)/Expenditure x 100

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

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

A.

12% loss

B.

10% loss

C.

10% profit

D.

There was no loss or profit

Correct answer is D

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 - 85)/85 x 100 ) = 0%.

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