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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
Q.
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
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The following line graph gives the percent profit earned by two Compan...
The 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]×100 =>65/100 = (3x/E1) - 1 
=> E1 = 3x×( 100/165 ) .... (i)
For Company Y we have:
50 = [(4x - E2 )/E2]x 100 =>50/100= (4x/E1) - 1 => E2 = 4x×( 100/150 ) .... (ii)
From (i) and (ii), we get:
E1/E2=[3x ×(100/165)]/[4x×(100/150)]
E1/E2=15/22 (required ratio)
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The following line graph gives the percent profit earned by two Compan...
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 )/E1]×100 =>65/100 = (3x/E1) - 1 => E1 = 3x×( 100/165 ) .... (i)

For Company Y we have:

50 = [(4x - E2 )/E2]x 100 =>50/100= (4x/E1) - 1 => E2 = 4x×( 100/150 ) .... (ii)

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

E1/E2=[3x ×(100/165)]/[4x×(100/150)]
E1/E2=15/22 (required ratio)
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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 YearsQ.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)7:22b)14:19c)15:22d)27:35Correct answer is option 'C'. Can you explain this answer?
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