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 $A=Rs$. $I_{1}$ lakhs and its expenditure $=$ Rs. $E_{1}$ lakhs Income of company $B=$ Rs. $I_{2}$ lakhs and its expenditure $=$ Rs. $E_{1}$ lakhs

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

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

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

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),

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

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

$\therefore$ 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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