Data Interpretation Ques 332

Question-

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

If the incomes of company $B$ in ratio of $2: 3$ respectively, what was the respective ratio of expenditures of that company in these two years?

(1) $20: 29$

(2) $9: 10$

(3) $29: 45$

(4) $10: 29$

(5) None of these

Show Answer

Correct Answer: (3)

Solution: (3)

For the year 2010 ,

$\frac{2-E_{1}}{E_{1}}=\frac{1}{2}$

$\Rightarrow 4-2 E_{1}=E_{1}$

$\Rightarrow 3 E_{1}=4$

$\Rightarrow E_{1}=\frac{4}{3}$

For the year 2011,

$\frac{3-E_{2}}{E_{2}}=\frac{45}{100}=\frac{9}{20}$

$\Rightarrow 60-20 E_{2}=9 E_{2}$

$\Rightarrow 29 E_{2}=60$

$\Rightarrow E_{2}=\frac{60}{29}$

$\therefore E_{1}: E_{2}=\frac{4}{3}: \frac{60}{29}$ $=\frac{1}{3}: \frac{15}{29}=29: 45$

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