Data interpretation Solved questions for competitive exams:Line Graph

Data Interpretation Question and Answers: Line Graph

1. The following line-graph gives the ratio of the amounts of imports by a Company to the amount of exports from that Company over the period from 1995 to 2001. The questions given below are based on this graph. (S.B.I.P.0. 2001)

1. In how many of the given years were the exports more than the imports ?

a)      1

b)      2

c)       3

d)      4

e)      None of these

2. The imports were minimum proportionate to the exports of the Company in the year

a)      1995

b)      1996

c)       1997

d)      2000

e)      2001

3. If the imports of the Company in 1996 was Rs. 272 crores, the exports from the Company in 1996 was:

a)      Rs. 370 crores

b)      Rs. 320 crores

c)       Ra. 280 crores

d)      Rs. 275 crores

e)      Rs. 264 crores

4.What was the percentage increase in imports from 1907 to 1998?

a)      72

b)      56

c)       28

d)      None of these

e)      Data inadequate

5. If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and

1999 together was Rs. 500 crores, then the imports in 1999 was

a)      Rs. 250 crores

b)      Rs. 300 crores

c)       Rs. 357 crores

d)      Rs. 420 crores

e)      None of these

Sol. 1. (d): The exports are more than the imports implies that the ratio of value of imports to exports is less than 1.

Now, this ratio is less than 1 in the years 1995, 1996, 1997 and 2000.

Thus, there are four such years.

2. (c) The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.

Now, this ratio has a minimum value of 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.

 3. (b) Ratio of imports to exports in the year 1996 = 0.85.

Let the exports in 1996 = Rs. x crores

Then, 272/x = 0.85 =>  x= 272/0.85= 320

Exports in 1996 = Rs. 320 crores.

 4. (e)The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years. Hence, the data is inadequate to answer this question.

5.(d)The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.

Let the exports in the year 1998 = Rs. x crores.

Then, the exports in the year 1999 Rs. (500-x ) crores.

Therefore 1.25= 250/x => x=250/1.25 =200                   [Using ratio for 1998]

Thus, the exports in the year 1999 =Rs. (500 -200) crores = Rs. 300 crores.

Let the imports in the year 1999=  Rs. y crores.

 Then, 1.40 = y /300 => y= (300 x 1.40) = 420.

Therefore, Imports  in the year 1999 = Rs. 420 crores.

 

3. Study the following line-graph and answer the questions based on it.(R.B.I. 2003)

1 What is the difference between the total productions of the two Companies in the given years ?

a)      19000

b)      22000

c)       26000

d)      28000

e)      29000

2. What is the difference between the numbers of vehicles manufactured by Company Y in 2000 and 2001?

a)      50000

b)      42000

c)       33000

d)      21000

e)      13000

3. What is the average number of vehicles manufactured by Company X over the given period? (rounded off to the nearest integer)

a)      119333

b)      113666

c)       112778

d)      111223

e)      None of these

4. In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years ?

a)      1997

b)      1998

c)       1999

d)      2000

e)      2001

5. The production of Company Y in 2000 was approximately what percent of the production of Company X in the same year?

a)      173

b)      164

c)       132

d)      97

e)      61

Sol. From the line-graph it is clear that the productions of Company X in the years 1997, 1998, 1999, 2000, 2001 and 2002 are 119000, 99000, 141000, 78000, 120000 and 159000 respectively and those of Company Y are 139000, 120000, 100000, 128000, 107000 and 148000 respectively.

1. (c) Total production of Company X from 1997 to 2002 = 119000 + 99000 + 141000 + 78000 + 120000 +159000 =716000.

and total production of Company Y from 1997 to 2002 = 139000 +120000 100000+ 128000+ 107000 148000 =742000.

Difference = 742000 716000 = 26000.

 

2.(d) Required difference = 128000- 107000 =21000.

 

3. (a) Average number of vehicles manufactured by Company X=1/6 X (119000+ 99000 + 141000+ 78000+ 120000+ 159000) =119333.

 

4. (a) The difference between the years are productions of Companies X and Y in various years are

For 1997 = (139000 119000) = 20000.

For 1998 (120000 99000) = 21000.

For 1999 = (141000 100000)= 41000

For 2000 = (128000 - 78000) = 50000

For 2001 (120000 -107000) = 13000

For 2002 = (159000 148000) = 11000.

Clearly, maximum difference was in 2000

 

5.(b) Required percentage= [(128000/78000)× 100 ]% =164%

 

3. The following line-graph gives the percent profit earned by two Companies X and Y during the period 1996 2001. Study the line-graph and answer the questions based on it. (NABARD, 2002)

 % profit/Loss  =[(Income-Expenditure)/Expenditure]×100

1. 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

e)      Rs. 261 crores

2. If the incomes of the 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

3. The incomes of the Companies X and Y in 2000 were in the ratio of 3:4 .What was the ratio of their expenditure in 2000 ?

a)      7:22

b)      14:19

c)       15:22

d)      27:35

e)      33:40

4.If the expenditures of Companies X and Yin 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

e)      None of these

5. 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

e)      Rs. 255 crores

 

Sol. 1. (b) Profit percent of Company Y in 1997=35.

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

Then,  35= [(x-220)/220]×100 => x=297

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

2. (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)/ E₁] ×100  => x= (150/100) E₁

Also for Company Y we have

60= [(x- E₂)/ E₂] ×100  => x= (160/100) E₂

 From above two results

(150/100) E₁ = (160/100) E₂

E₁/ E₂ = 160/150 =16/15 [Required ratio]

 

3.(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)/ E₁]×100  => E₁ =3x × (100/165)

For company Y we have

50=[(4x- E₂)/ E₂]×100  => E₂ =4x × (100/150)

From above two results

E₁ / E₂  = [3x × (100/165)] / [4x × (100/150)]

E₁ / E₂   = 15/22   [required ratio]

 

4. (d) Let the expenditures of, each of the 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 =>40/100 =(z/x) – 1  => x= (100/140)z

Also for Company Y we have

45= [((342-z)-x)/x]×100 =>45/100 =((342-z)/x) – 1  => x= (100/145) ×(342-z)

 From above two results

(100/140)z = (100/145) ×(342-z)  => z=168

Substituting z in equation x= (100/140)z 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 1996 =Rs.342 crores.

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

 

5.(a)  Let the income of Company X in 1998 be Rs.x crores.

Then,55= [(x-200)/200 ] ×100

ð  x=310

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.

The ,50=[(z-310)/310] ×100

ð  z=465

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