If the amount invested by the two companies in 2005 were equal, what was the ratio of the total income of Company A to that of B on 2005?

A. 31 : 33

B. 33 : 31

C. 34 : 31

D. 14 : 11

E. None of these

Answer: Option C

Solution(By Examveda Team)

Let the investment of each in 2005 be Rs. $$x$$
Then,
(Income of A) : (Income of B)
  = Rs. ($$x$$ + 70% of $$x$$) : Rs. ($$x$$ + 55% of $$x$$) [∵ Income = (Investment) + (Profit)]
$$\eqalign{ & = \left(x+\frac{70x}{100}\right) : \left(x+\frac{55x}{100}\right)\cr & = \left(x+\frac{7x}{10}\right) : \left(x+\frac{11x}{20}\right) \cr & = \frac{17x}{10} : \frac{31x}{20} \cr & = 34 : 31 \cr} $$