Data Interpretation - Line Charts - Discussion
Discussion Forum : Line Charts - Line Chart 4 (Q.No. 5)
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 |
5.
If the incomes of two Comapanies were equal in 1999, then what was the ratio of expenditure of Company X to that of Company Y in 1999 ?
Answer: Option
Explanation:
Let the incomes of each of the two Companies X and Y in 1999 be Rs. x.
And let the expenditures of Companies X and Y in 1999 be E1 and E2 respectively.
Then, for Company X we have:
| 50 = | x - E1 | x 100  |
50 | = | x | - 1 x = |
150 | E1 .... (i) |
| E1 | 100 | E1 | 100 |
Also, for Company Y we have:
| 60 = | x - E2 | x 100 |
60 | = | x | - 1 x = |
160 | E2 .... (ii) |
| E2 | 100 | E2 | 100 |
From (i) and (ii), we get:
| 150 | E1 = | 160 | E2 |
E1 | = | 160 | = | 16 | (Required ratio). |
| 100 | 100 | E2 | 150 | 15 |
Discussion:
3 comments Page 1 of 1.
Gaurav Gavankar said:
6 years ago
From profit formula, we can write expenditure=(income*100)/(profit+100) . Now calculate ratio of expenditures of both companies.
i.e. E(X)/E(Y)= {(income(x)*100)/(profit(x)+100) }/ { (income(y)*100)/(profit(y)+100)}.
As, income(x) = income(y).
Therefore E(X)/E(Y) = (profit(y) + 100)/(profit(x) + 100).
= (60+100)/(50+100).
= 160/150.
E(X)/E(Y) = 16:15.
i.e. E(X)/E(Y)= {(income(x)*100)/(profit(x)+100) }/ { (income(y)*100)/(profit(y)+100)}.
As, income(x) = income(y).
Therefore E(X)/E(Y) = (profit(y) + 100)/(profit(x) + 100).
= (60+100)/(50+100).
= 160/150.
E(X)/E(Y) = 16:15.
Bhavin said:
9 years ago
@Rahul. Why have you assumed income as 240? and why not any other number?
Rahul agarwal said:
1 decade ago
More easiest way to solve this question will be
Let Income of both X and Y be 240
240/15:240/16=16:15
Let Income of both X and Y be 240
240/15:240/16=16:15
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