The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001.
Percentage profit earned by Two Companies X and Y over the Given Years
%Profit = ((Income - Expenditure) / Expenditure) x 100
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 ?
7:22
14:19
15:22
27:35
Correct answer is C
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)/E1 x 100 => 65/100 = 3x/E1 - 1 => E1 = 3x x ( 100/165 ) .... (i)
For Company Y we have:
50 = (4x - E2)/E2 x 100 => 50/100 = 4x/E2 - 1 => E2 = 4x x ( 100/150 ) .... (ii)
From (i) and (ii), we get:
E1/E2 = (3x x ( 100/165 ))/(4x x ( 100/150 )) = (3 x 150)/(4 x 165) = 15/22 (Required ratio)
