Data Interpretation - Bar Charts

The bar graph given below shows the data of the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years.

Production of Paper (in lakh tonnes) by Three Companies X, Y and Z over the Years.

1. 

For which of the following years, the percentage rise/fall in production from the previous year is the maximum for Company Y?

A. 1997
B. 1998
C. 1999
D. 2000

Answer: Option A

Explanation:

Percentage change (rise/fall) in the production of Company Y in comparison to the previous year, for different years are:

For 1997 = [ (35 - 25) x 100 ] % = 40%.
25

For 1998 = [ (35 - 35) x 100 ] % = 0%.
35

For 1999 = [ (40 - 35) x 100 ] % = 14.29%.
35

For 2000 = [ (50 - 40) x 100 ] % = 25%.
40

Hence, the maximum percentage rise/fall in the production of Company Y is for 1997.


2. 

What is the ratio of the average production of Company X in the period 1998-2000 to the average production of Company Y in the same period?

A. 1:1
B. 15:17
C. 23:25
D. 27:29

Answer: Option C

Explanation:

Average production of Company X in the period 1998-2000

    = [ 1 x (25 + 50 + 40) ] = ( 115 ) lakh tons.
3 3

Average production of Company Y in the period 1998-2000

    = [ 1 x (35 + 40 + 50) ] = ( 125 ) lakh tons.
3 3


Therefore Required ratio =
( 115 )
3
= 115 = 23 .
( 125 )
3
125 25


3. 

The average production for five years was maximum for which company?

A. X
B. Y
C. Z
D. X and Z both

Answer: Option D

Explanation:

Average production (in lakh tons) in five years for the three companies are:

For Company X = [ 1 x (30 + 45 + 25 + 50 + 40) ] = 190 = 38.
5 5

For Company Y = [ 1 x (25 + 35 + 35 + 40 + 50) ] = 185 = 37.
5 5

For Company Z = [ 1 x (35 + 40 + 45 + 35 + 35) ] = 190 = 38.
5 5

Therefore Average production of five years is maximum for both the Companies X and Z.


4. 

In which year was the percentage of production of Company Z to the production of Company Y the maximum?

A. 1996
B. 1997
C. 1998
D. 1999

Answer: Option A

Explanation:

The percentages of production of Company Z to the production of Company Z for various years are:

For 1996 = ( 35 x 100 ) % = 140%.
25

For 1997 = ( 40 x 100 ) % = 114.29%.
35

For 1998 = ( 45 x 100 ) % = 128.57%.
35

For 1999 = ( 35 x 100 ) % = 87.5%.
40

For 2000 = ( 35 x 100 ) % = 70%.
50

Clearly, this percentage is highest for 1996.


5. 

What is the percentage increase in the production of Company Y from 1996 to 1999?

A. 30%
B. 45%
C. 50%
D. 60%

Answer: Option D

Explanation:

Percentage increase in the production of Company Y from 1996 to 1999

    = [ (40 - 25) x 100 ] %
25

    = [ 15 x 100 ] %
25

    = 60%.