Data Interpretation Ques 251
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
Revenue of company $X$
$=$ Rs. $y$ crore
$\therefore 40=\frac{y-x}{x} \times 100$
$\Rightarrow 4 x=100 y-100 x$
$\Rightarrow 140 x=100 y$
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),
$140x = 34200 - 145x$
$\Rightarrow 285 x=34200$
$\Rightarrow x=\frac{34200}{285}=$ Rs. 120
crores
$\therefore$ Total expenditure
$=$ Rs. 240 crores
BETA
