SATHEE: Data Interpretation Ques 331

Data Interpretation

Data Interpretation Ques 331

Question-

Directions : Read the following graph to answer the given question the questions given below it.

If the expenditures of companies $A$ and $B$ in 2013 were equal and the total income of the two companies was Rs. 5.7 lakhs, what was the total expenditure of the two companies in 2013?

(1) Rs. 4 lakhs

(2) Rs. 2 lakhs

(3) Rs. 4.2 lakhs

(4) Cannot be determined

(5) None of these

Show Answer

Correct Answer: (1)

Solution: (1)

In 2013, income of company $A = R s$ . $I_{1}$ lakhs and its expenditure $=$ Rs. $E_{1}$ lakhs Income of company $B =$ Rs. $I_{2}$ lakhs and its expenditure $=$ Rs. $E_{1}$ lakhs

$∴ \frac{I_{1} - E_{1}}{E_{1}} = \frac{40}{100} = \frac{2}{5}$

$\Rightarrow 5 I_{1} - 5 E_{1} = 2 E_{1}$

$\Rightarrow 5 I_{1} = 7 E$

Again,

$\frac{I_{2} - E_{1}}{E_{1}} = \frac{45}{100} = \frac{9}{20}$

$\Rightarrow 2 I_{2} - 20 E_{1} = 9 E_{1}$

$\Rightarrow 20 I_{2} = 29 E$

By equation (i) $\times 4 +$ (ii),

$20 (I_{1} + I_{2}) = 28 E_{1} + 29 E_{1}$ $\Rightarrow 20 \times 5.7 = 57 E_{1}$

$\Rightarrow E_{1} = \frac{20 \times 5.7}{57} =$ Rs. 2 lakhs

$∴$ Total expenditure $=$ Rs. 4 lakhs

Data Interpretation

Data Interpretation Ques 331

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Data Interpretation

Data Interpretation Ques 331

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Exercise Video Solution

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