## Introduction to Data Interpretation

#### Data Interpretation 1. The total income exceeds the total expenditure over the years 1982 to 1986 by

1. On the basis of given graph in question ,
Total income = \$ 240 lakh
Total expenditure = \$ 155 lakh
∴ Required Difference = Total income - Total expenditure

##### Correct Option: A

On the basis of given graph in question ,
Total income = \$ 240 lakh
Total expenditure = \$ 155 lakh
∴ Required Difference = Total income - Total expenditure
∴ Difference = 240 – 155 = \$ 85 lakhs

1. Percentage increase in profit in 1986 over 1982 is

1. According to given bar graph , we have
Profit in 1986 = 25
Profit in 1982 = 10
Increase = 25 - 10 = 15

 Required percentage increase = Increase × 100 Profit in 1982

##### Correct Option: A

According to given bar graph , we have
Profit in 1986 = 25
Profit in 1982 = 10
Increase = 25 - 10 = 15

 Required percentage increase = Increase × 100 Profit in 1982

 Required percentage increase = 15 × 100 = 150% 10

1. The ratio of the average income of all the years to the average profit is

1. From the given bar diagram , we see
Total profit of all the years = 10 + 20 + 10 + 20 + 25 = 85
Number of years = 5

 Average profit = \$ 10 + 20 + 10 + 20 + 25 lakhs 5

##### Correct Option: B

From the given bar diagram , we see
Total profit of all the years = 10 + 20 + 10 + 20 + 25 = 85
Number of years = 5

 Average profit = \$ 10 + 20 + 10 + 20 + 25 lakhs 5

Average profit = \$ 17 lakh
∴ Average income = \$ 48 lakh
Required ratio = Average income : Average profit
Required ratio = 48 : 17

1. The number of years in which the income is more than the average income of the given years is

1. On the basis of given graph in question ,
Total income of the given years = 30 + 50 + 40 + 60 + 60 = \$ 240
Number of years = 5

 Average income = \$ Total income of the given years lakhs Number of years

 Average income = 240 = \$ 48 lakhs 5

##### Correct Option: C

On the basis of given graph in question ,
Total income of the given years = 30 + 50 + 40 + 60 + 60 = \$ 240
Number of years = 5

 Average income = \$ Total income of the given years lakhs Number of years

 Average income = 240 = \$ 48 lakhs 5

In the years 1983, 1985 and 1986, the income were more than the average income.

1. What is the difference in profit between 1983 and 1984 (in lakhs of \$)?

1. From the given bar diagram , we see
Income of a company in 1983 = \$ 50 lakh
Expenditure of a company in 1983 = \$ 30 lakh
Income of a company in 1984 = \$ 40 lakh
Expenditure of a company in 1984 = \$ 30 lakh

##### Correct Option: C

From the given bar diagram , we see
Income of a company in 1983 = \$ 50 lakh
Expenditure of a company in 1983 = \$ 30 lakh
Income of a company in 1984 = \$ 40 lakh
Expenditure of a company in 1984 = \$ 30 lakh
Required difference in profit = \$ [(50 – 30) – (40 – 30)] lakh
Required difference in profit = \$ 10 lakh