# 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 ?
7:22
14:19
15:22
27:35
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 = 3x x 100 .... (i) E1 100 E1 165

For Company Y we have:

 50 = 4x - E2 x 100 50 = 4x - 1         E2 = 4x x 100 .... (ii) E2 100 E2 150

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

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

Discussion:
15 comments Page 1 of 2.

Let the expenditure for company X be x.
And for company Y be y.

Then for co. X- 3x-y/y*100=65.
300x-100y = 65y.
300x =165y.
x/y = 165/300.

For co. Y
4x-y/y*100 = 50.
400x-100y = 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)

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.

Why you have taken 3x150? According to the problem 3x 165. Please explain this.

Tinie said:   10 years ago
Why am I getting 15/44 --- 3/4*150/165 --- 3/4*30/33 --- 3/4*10/11 --- 30/44?

Tamilarasan said:   8 years ago
@All.

Taking out the expenditure common the fraction becomes as I/E -1.
(2)

Pema said:   6 years ago
How the calculation got 3x*100÷165? Explain me in detail.
(1)

Karma Tsh said:   3 years ago
@Lavanya;

450/660 = 15:22.
Ways:
450/15=30,
So 30*22 = 660.