Line chart Moderate Questions and Answers | Page - 1

Line chart

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

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

1. One
1. Two
1. Three
1. Four
1. None of these

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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.

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

1. $ 160 million
1. $ 240 million
1. $ 260 million
1. Data inadequate
1. None of these

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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

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

1. 100 billion
1. 110 billion
1. 98 billion
1. Data inadequate
1. None of these

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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 $

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

1. 1995
1. 1993
1. 1997
1. 1992
1. None of these

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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.

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

1. $ 121.5 million
1. $ 135 million
1. $ 140 million
1. Data inadequate
1. None of these

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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.