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

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 ?

[A]. 7:22
[B]. 14:19
[C]. 15:22
[D]. 27:35

Answer: Option C

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


Rajeev said: (May 17, 2012)  
Where does the -1 goes.

Kunal said: (Feb 18, 2014)  
Above method seems to be erroneous. -1 is not accounted.

Karthik said: (Jun 7, 2014)  
Why you have taken 3x150? According to the problem 3x 165. Please explain this.

Heeee said: (Jun 26, 2014)  
Where did that - sign went and how that 165 came there?

Prachi said: (Sep 4, 2014)  
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.

Prachi said: (Sep 4, 2014)  
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.

Tinie said: (Nov 18, 2014)  
Why am I getting 15/44 --- 3/4*150/165 --- 3/4*30/33 --- 3/4*10/11 --- 30/44?

Abhi said: (Sep 21, 2015)  
3x = 165.
4x = 150.

3x/165*150/4x = 15/22.

Raja Naidu said: (Nov 28, 2015)  
Where did that -1 go?

Twinkle said: (Jun 27, 2016)  
Yes, same doubt for me. Where does the - 1 goes?

Tamilarasan said: (Aug 24, 2016)  
@All.

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

AMBER SINGH said: (Sep 30, 2016)  
1 is added to 65/100 which then gives us 165/100.

Lavanya said: (Feb 11, 2017)  
@Prachi.

450/660=15:22?

Pema said: (Jul 5, 2018)  
How the calculation got 3x*100÷165? Explain me in detail.

Karma Tsh said: (Aug 21, 2021)  
@Lavanya;

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

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