## Line chart

#### Data Interpretation

Direction: Study the following graph carefully and answer the questions given below.

1. In how many of the given years the percentage of expenditure to the income of Company A was less than 50% ?

1. Let us assume that the Expenditure E, Income I and Profit P of company A.
According to formula

 E = I 100 100 + P

##### Correct Option: E

Let us assume that the Expenditure E, Income I and Profit P of company A.
According to formula

 E = I 100 100 + P

 or, E = 100 I 100 + P

According to question
 We require E ≤ 50 % or, ≤ 1 I 2

 Now We can see that from above both given equation, 100 ≤ 1 100 + P 2

So, the value of P should be more than 100, which is not correct for any of the given years.

1. If the total expenditure of Company B in 1994 was \$ 200 , what was the total income?

1. Let us assume that the Expenditure E , income I and profit P%.

 Total income ( I ) = E 100 + % Profit 100

##### Correct Option: B

Let us assume that the Expenditure E , income I and profit P %.
As per given graph,
Profit = 40 %
As per given question,
Expenditure = \$ 200 Million

 Total income ( I ) = E 100 + % Profit 100

 Total income ( I ) = 200 100 + 40 million \$ = 280 million \$ 100

1. If the total income in 1992 for Company B was 140 crores, what was the total expenditure in that year?

1. As per given question,
Total income of company B in year 1992 = 140 crore
Given in the graph that the % Profit of company B in year 1992 = 45 %
Let us assume that the total Expenditure of company B in year 1992 = E
Use the below formula to calculate

 % Profit = Income - Expenditure x 100 Expenditure

##### Correct Option: E

As per given question,
Total income of company B in year 1992 = 140 crore
Given in the graph that the % Profit of company B in year 1992 = 45 %
Let us assume that the total Expenditure of company B in year 1992 = E
Use the below formula to calculate

 % Profit = Income - Expenditure x 100 Expenditure

 or, 45 = 140 - E x 100 E

⇒ 45E = 140 x 100 - 100E
⇒ 45E = 14000 - 100E
⇒ 45E + 100E = 14000
⇒ 145E = 14000
⇒ E = 14000/145 = 2800/29 = 96.6 million \$

1. In which of the following years was the total income more than double the total expenditure in that year for Company B?

1. Income > 2 times of Expenditure
This is only possible when profit is more than 100%.

##### Correct Option: E

Income > 2 times of Expenditure
This is only possible when profit is more than 100%.
⇒ Profit % is more than 100, which is not correct for any of the given years.

1. If the total expenditure of 1993 and 1994 together of Company B was \$ 279 million, what was the total income in these years?

1.  I93 = E94 100 + 50 = 3 E93 100 2

As the Average profit for these two company is not given. So we cannot calculate the income if these 2 companies for the given years.

##### Correct Option: D

As the Average profit for these two company is not given. So we cannot calculate the income if these 2 companies for the given years.
Let us assume the Expenditure is E and Income is I.

 I93 = E94 100 + 50 = 3 E93 100 2

 I94 = E94 100 + 50 = 3 E93 100 2

 I94 = E94 100 + 40 = 7 E94 100 5

E93 + E94 = 279
 But we cannot find 3 E93 + 7 E94 2 5

So, we cannot solve this equation.