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

3. 

If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)

[A]. Rs. 240 crores
[B]. Rs. 171 crores
[C]. Rs. 120 crores
[D]. Rs. 102 crores

Answer: Option D

Explanation:

Let the expenditures of each companies X and Y in 1996 be Rs. x crores.

And let the income of Company X in 1996 be Rs. z crores.

So that the income of Company Y in 1996 = Rs. (342 - z) crores.

Then, for Company X we have:

40 = z - x x 100     =>     40 = z - 1     =>     x = 100z .... (i)
x 100 x 140

Also, for Company Y we have:

45 = (342 - z) x 100   =>   45 = (342 - z) - 1   =>  x = (342 - z) x 100 .... (ii)
x 100 x 145

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

100z = (342 - z) x 100     =>     z = 168.
140 145

Substituting z = 168 in (i), we get : x = 120.

Therefore Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240 crores.

Total income of Companies X and Y in 1996 = Rs. 342 crores.

Therefore Total profit = Rs. (342 - 240) crores = Rs. 102 crores.


Alok said: (Oct 21, 2011)  
Is there any shortcut ?

Anjali Gupta said: (Jun 14, 2014)  
40/100 = z/x-1 = 100z/140.

100z/140.
How is come?
please explain.

Sivaraj said: (Oct 28, 2014)  
Is it possible to solve while examination with in time?

Shradha said: (Nov 28, 2014)  
I did not understood this question can anyone simply it in easy way.

Abhi said: (Sep 21, 2015)  
145x/100+140x/100 = 342.

x = 120.

45+40 = 85%of 120 = 102.

Mani Deepthi Reddy said: (Oct 9, 2016)  
Thanks for the explanation of the answer.

Shailesh Mishra said: (Oct 13, 2016)  
Thanks for the explanation.

Amit said: (Nov 22, 2016)  
Thank you. Nice explanation @Abhi.

Santosh said: (Dec 24, 2016)  
Nice @Abhi.

Lavabya said: (Feb 11, 2017)  
Anyone can explain 100/140z=((342-z) * 100)/145.

z=168 how it came z value explain me.

Ksreddy said: (Apr 19, 2017)  
Exp:
=====
100
100
---------
200

Income
=======
140
145
---------
285

285-------85
324-------?

(324 * 85)/285 = 102cr.

Bindalakash786@gmail.com said: (May 13, 2017)  
Thank you @Abhi.

Sunil said: (Oct 17, 2017)  
Thanks @Abhi.

Ashwini said: (Dec 1, 2017)  
Can anyone please explain the simplification of z=168?

Ravibabu said: (Feb 28, 2018)  
Can anyone explain?

100/140z=((342-z) * 100)/145.
z=168 how it came z value?

Explain me.

Chitku said: (Aug 1, 2018)  
Thanks @Abhi.

Kunsel said: (Aug 29, 2020)  
Can anyone explain where 240 (expenditure) came from?

Sangay Zangmo said: (Sep 15, 2020)  
100z/140.

How come 140 here? Please explain.

Varun said: (Apr 1, 2021)  
Wonderful explanation, Thanks @Ksreddy.

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