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% ?

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Let us assume that the Expenditure E, Income I and Profit P of company A.
According to formulaE = I 100 100 + P
Correct Option: E
Let us assume that the Expenditure E, Income I and Profit P of company A.
According to formulaE = I 100 100 + P or, E = 100 I 100 + P
According to questionWe 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?

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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 MillionTotal 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?

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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?

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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?

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I_{93} = E_{94} 100 + 50 = 3 E_{93} 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.I_{93} = E_{94} 100 + 50 = 3 E_{93} 100 2 I_{94} = E_{94} 100 + 50 = 3 E_{93} 100 2 I_{94} = E_{94} 100 + 40 = 7 E_{94} 100 5
E_{93} + E_{94} = 279But we cannot find 3 E_{93} + 7 E_{94} 2 5
So, we cannot solve this equation.