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)