# Data Interpretation - Bar Charts

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. 1.

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

Explanation:

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 \$. Percent Profit/Loss of companies M and N together

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

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

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

Explanation:

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 \$. % Profit = (215 - 205) x 100 % = 4.88% 5%. 205

3.

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

 A. M B. N C. P D. Q

Explanation:

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

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

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

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

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

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

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

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

Explanation:

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

 Then, expenditure of Company R in 2001 = 120 x x million US \$. 100 120x = 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 [ %Profit in 2000 = 10%] 37.5 I - 37.5 = 3.75 I = 41.25

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

5.

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. 30.3 C. 32.32 D. 34.34

Explanation:

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

 Then, income of Company in 2001 = 110 x x million US \$. 100 110x = 40 x = 400 . 100 11

 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 [ %Profit = 20% ] E 20 =  400 - 1 x 100 11E E = 400 x 100 = 30.30. 11 120 Expenditure of Company Q in 2000 = 30.30 million US \$.