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 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 | = |
|
= | 3 x 150 | = | 15 | (Required ratio). | |||||
| E2 |
|
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- 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.
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)
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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