Data Interpretation - Line Charts

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


2. 

If the expenditure of Company Y in 1997 was Rs. 220 crores, what was its income in 1997 ?

A. Rs. 312 crores
B. Rs. 297 crores
C. Rs. 283 crores
D. Rs. 275 crores

Answer: Option B

Explanation:

Profit percent of Company Y in 1997 = 35.

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

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

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


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.


4. 

The expenditure of Company X in the year 1998 was Rs. 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. Rs. 465 crores
B. Rs. 385 crores
C. Rs. 335 crores
D. Rs. 295 crores

Answer: Option A

Explanation:

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

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

Therefore Expenditure of Company X in 2001 = Income of Company X in 1998
= Rs. 310 crores.

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

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

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


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