Data Interpretation

Line Chart - 3

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Line Chart - 3

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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

Question 1
If the expenditure of Company Y in 1997 was ₹ 220 crores, what was its income in 1997 ?

A
₹ 312 crores
B
₹ 297 crores
C
₹ 283 crores
D
₹ 275 crores
E
₹ 261 crores
Correct Answer: Option B

Profit percent of Company Y in 1997 = 35.

Let the income of Company Y in 1997 be ₹ x crores.

Then, 35 = x - 220 x 100     =>     x = 297.
220

Therefore Income of Company Y in 1997 = ₹ 297 crores.

Question 2
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
E
33 : 40
Correct Answer: Option C

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 100 E1


=> E1 = 3x x  (100/165) ...(i)


For Company Y we have:

50 = 4x - E2 x 100  =>    50 = 4x - 1      



E2 100 E2


=> E2 = 4x x (100/150) .... (ii)


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

E1 =
3x x ( 100 )
165
= 3 x 150 = 15
E2
4x x ( 100 )
150
4 x 165 22

(Required ratio).

Question 3
If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was ₹ 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)

A
₹ 240 crores
B
₹ 171 crores
C
₹ 120 crores
D
₹ 102 crores
E
None of these
Correct Answer: Option D

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

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

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

Then, for Company X we have:

40 = z - x x 100     =>     40 = z - 1    
x 100 x

 =>  x = (100z/140) ....(i)

Also, for Company Y we have:

45 = (342 - z) x 100 / x

 =>   45 = (342 - z) - 1  

100 x


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

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 

     = ₹ 240 crores.

Total income of Companies X and Y in 1996 

    = ₹ 342 crores.

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

Question 4
If the incomes of two Companies 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
E
15 : 16
Correct Answer: Option D

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    
E1 100 E1


 => x = 150E1 /100 .... (i)

Also, for Company Y we have:

60 = x - E2 x 100     =>     60 = x - 1      
E2 100 E2

=> x = 160E2 / 100 ... (ii)

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

150 E1 = 160 E2     =>     E1 = 160 = 16
100 100 E2 150 15

(Required ratio).

Question 5
The expenditure of Company X in the year 1998 was ₹ 200 crores and the income of company X in 1998 was the same as its expenditure in 2001. The income of Company X in 2001 was ?

A
₹ 465 crores
B
₹ 385 crores
C
₹ 335 crores
D
₹ 295 crores
E
₹ 255 crores
Correct Answer: Option A

Let the income of Company X in 1998 be ₹ x crores.

Then, 55 = x - 200 x 100    =>     x = 310.
200

Therefore Expenditure of Company X in 2001

= Income of Company X in 1998

= ₹ 310 crores.

Let the income of Company X in 2001 be ₹z crores.

Then, 50 = z - 310 x 100    =>  z = 465.
310

Therefore Income of Company X in 2001 = ₹ 465 crores.