Data Interpretation - Line Charts - Discussion

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 ?

[A]. 6:5
[B]. 5:6
[C]. 11:6
[D]. 16:15

Answer: Option D

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


Rahul Agarwal said: (Apr 15, 2012)  
More easiest way to solve this question will be
Let Income of both X and Y be 240
240/15:240/16=16:15

Bhavin said: (Mar 9, 2014)  
@Rahul. Why have you assumed income as 240? and why not any other number?

Gaurav Gavankar said: (Dec 24, 2016)  
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.

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