Answer : Option C

Explanation :

Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively.

And let the expenditures in 2000 of Companies X and Y be E₁ and E₂ respectively.

Then, for Company X we have:

 65= \( \frac { 3X- E1 } { E1} \) x 100   \( \frac { 65 } {100} \) = \(\frac { 3X } { E1 }\) -1         E₁ = 3x x [ \(\frac { 100 } { 165} \)] ... (i)

For Company Y we have:

50 = \( \frac { 4X- E2 } {E2 } \) x 100    \( \frac { 50 } {100 } \) = \( \frac { 4X } { E2 }\) -`1      E₂ = 4x x  \([\frac { 100 } { 150 }]\) ... (ii)

From (i) and (ii), we get:

\( \frac { E1 } { E2 } \) = \(\frac { 3 X X (100/165) } { 4 X X (100/150) } \) = \(\frac { 3 X 150 } { 4 X 165 } \) = \(\frac { 1 5} { 22 }\) (Required ratio)