1.  The incomes of two Companies X and Y in 2000 were in the ratio of 3:4 respectively. What was the respective ratio of their expenditures in 2000 ?
A. 7 : 22
B. 14 : 19
C. 15 : 22
D. 27 : 35
E. 33 : 40

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 = 3x - E1 x 100  =>   65 = 3x - 1          



E1 100 E1


=> E1 = 3x x  (100/165) ...(i)


For Company Y we have:

50 = 4x - E2 x 100  =>    50 = 4x - 1      



E2 100 E2


=> E2 = 4x x (100/150) .... (ii)


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

E1 =
3x x ( 100 )
165
= 3 x 150 = 15
E2
4x x ( 100 )
150
4 x 165 22

(Required ratio).