If the income of Company Q in 2001 was 10% more than its ...
The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by
% Profit/Loss = (Income - Expenditure)/Expenditure x 100
Income and Expenditure (in million US $) of five companies in the year 2001.
If the income of Company Q in 2001 was 10% more than its income in 2000 and the Company had earned a profit of 20% in 2000, then its expenditure in 2000 (in million US $) was?
28.28
30.30
32.32
34.34
Correct answer is B
Let the income of Company Q in 2001 = x million US $.
Then, income of Company in 2001 = ( 110/100 x x ) million US $.
Therefore 110x/100 = 40 => x = ( 400/11 )
i.e., income of Company Q in 2000 = ( 400/11 ) million US $.
Let the expenditure of Company Q in 2000 be E million US $.
Then, 20 = [(400/11) - E]/E x 100 [because %Profit = 20% ]
=> 20 = [ ( 400/11E ) - 1 ] x 100
=> E = 400/11 x 100/120 = 30.30
Therefore Expenditure of Company Q in 2000 = 30.30 million US $.