Data Interpretation  Line Charts  Discussion
Discussion Forum : Line Charts  Line Chart 4 (Q.No. 1)
Directions to Solve
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  x 100 
Expenditure 
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 ?
Answer: Option
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 E_{1} and E_{2} respectively.
Then, for Company X we have:
65 =  3x  E_{1}  x 100  65  =  3x   1 E_{1} = 3x x  100  .... (i)  
E_{1}  100  E_{1}  165 
For Company Y we have:
50 =  4x  E_{2}  x 100  50  =  4x   1 E_{2} = 4x x  100  .... (ii)  
E_{2}  100  E_{2}  150 
From (i) and (ii), we get:
E_{1}  = 

=  3 x 150  =  15  (Required ratio).  
E_{2} 

4 x 165  22 
Discussion:
15 comments Page 1 of 2.
Abhi said:
9 years ago
3x = 165.
4x = 150.
3x/165*150/4x = 15/22.
4x = 150.
3x/165*150/4x = 15/22.
(2)
Raja naidu said:
9 years ago
Where did that 1 go?
(2)
Tamilarasan said:
8 years ago
@All.
Taking out the expenditure common the fraction becomes as I/E 1.
Taking out the expenditure common the fraction becomes as I/E 1.
(2)
Prachi said:
1 decade ago
Let the expenditure for company X be x.
And for company Y be y.
Then for co. X 3xy/y*100=65.
300x100y = 65y.
300x =165y.
x/y = 165/300.
For co. Y
4xy/y*100 = 50.
400x100y = 50y.
400x = 150y.
Now equal x value to get y value.
co. X = (165/300)4 = 660/1200.
co. Y = (150/400)3 = 450/1200.
Thus we get x:y = 22:15.
So answer should be 22:15 not 15:22.
And for company Y be y.
Then for co. X 3xy/y*100=65.
300x100y = 65y.
300x =165y.
x/y = 165/300.
For co. Y
4xy/y*100 = 50.
400x100y = 50y.
400x = 150y.
Now equal x value to get y value.
co. X = (165/300)4 = 660/1200.
co. Y = (150/400)3 = 450/1200.
Thus we get x:y = 22:15.
So answer should be 22:15 not 15:22.
(1)
Pema said:
6 years ago
How the calculation got 3x*100÷165? Explain me in detail.
(1)
Rajeev said:
1 decade ago
Where does the 1 goes.
Kunal said:
1 decade ago
Above method seems to be erroneous. 1 is not accounted.
Karthik said:
1 decade ago
Why you have taken 3x150? According to the problem 3x 165. Please explain this.
Heeee said:
1 decade ago
Where did that  sign went and how that 165 came there?
Prachi said:
1 decade ago
Sorry for wrong answer.
15:22 is correct.
For co. X expenditure is 660.
For co. Y expenditure is 450.
Now co. X/co. Y = 450/660.
i.e. 15:22.
15:22 is correct.
For co. X expenditure is 660.
For co. Y expenditure is 450.
Now co. X/co. Y = 450/660.
i.e. 15:22.
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