Data Interpretation Ques 251

Question-

Directions : Study the following table and answer the questions that follow.

If the expenditures of companies $X$ and $Y$ in 2006 were equal and the total income of the both companies in 2006 was Rs. 342 crores, what was the total profit of two companies together in 2006? (Profit = Income - Expenditure)

(1) Rs. 240 crores

(2) Rs. 171 crores

(3) Rs. 120 crores

(4) Rs. 102 crores

(5) Rs. 150 crores

Show Answer

Correct Answer: (1)

Solution: (1)

Expenditure of company $X$ $=$ Rs. $x$ crores

Income of company $X$ $=$ Rs. $y$ crores

$\therefore 40=\frac{y-x}{x} \times 100$

$\Rightarrow 4 x=100 y-100 x$

$\Rightarrow 140 x=100 y$ ….(i)

For company Y,

$45=\left(\frac{342-y-x}{x}\right) \times 100$

$\Rightarrow 145 x=34200-100 y$

$\Rightarrow 100 y=34200-145 x$….(ii)

From equations (i) and (ii),

$140 x=34200-145 x$

$\Rightarrow 285 x=34200$

$\Rightarrow x=\frac{34200}{285}=$ Rs. 120 crores

$\therefore$ Total expenditure $=$ Rs. 240 crores

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