Data Interpretation

Bar Chart 5

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Bar Chart 5

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5 Questions
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QUEST ? ✓ !
Directions to Solve
A soft drink company prepares drinks of three different flavours - X, Y and Z. The production of three flavours over a period of six years has been expressed in the bar graph provided below. Study the graph and answer the questions based on it.

Production of Three Different Flavours X, Y and Z by a Company over the years (in lakh bottles)


Question 1
For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavour Y?

A
1996
B
1997
C
1998
D
1999
E
2000
Correct Answer: Option B

The percentage rise/fall in production from the previous year for flavour Y during various years are:

In 1996 =[(60 - 55)x 100]% = 9.09% (increase)
55

In 1997 =[(60 - 50)x 100]% = 16.67% (decrease)
60

In 1998 =[(55 - 50)x 100]% = 10% (increase)
55

In 1999 =[(55 - 50)x 100]% = 9.09% (decrease)
55

In 2000 =[(55 - 50)x 100]% = 10% (increase)
50

Therefore Maximum change is decrease of 16.67% during 1997.

Question 2
For which flavour was the average annual production maximum in the given period?

A
X only
B
Y only
C
Z only
D
X and Y
E
X and Z
Correct Answer: Option B

Average annual productions over the given period for various flavours are:

For Flavour X =[1x (50 + 40 + 55 + 45 + 60 + 50)]
6

= 50 lakh bottles.
For Flavour Y =[1x (55 + 60 + 50 + 55 + 50 + 55)]
6

= 54.17 lakh bottles.
For Flavour Z =[1x (45 + 50 + 60 + 60 + 45 + 40)]
6

= 50 lakh bottles.

Therefore Maximum average production is for Flavour Y.

Question 3
What was the approximate decline in the production of flavour Z in 2000 as compared to the production in 1998?

A
50%
B
42%
C
33%
D
25%
E
22.5%
Correct Answer: Option C

Percentage decline in the production of flavour Z in 2000 as compared to the production in 1998

    =[(60 - 40)x 100]%
60

    =(20x 100)%
60

    = 33.33%

    ~= 33%.

Question 4
The total production of flavour Z in 1997 and 1998 is what percentage of the total production of flavour X in 1995 and 1996?

A
96.67%
B
102.25%
C
115.57%
D
120%
E
133.33%
Correct Answer: Option E
Required percentage
=[(60 + 60)x 100]%
(50 + 40)
=[120x 100]%
90
= 133.33%.
Question 5
What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?

A
50,000 bottles
B
80,000 bottles
C
2,40,000 bottles
D
3,30,000 bottles
E
5,00,000 bottles
Correct Answer: Option E

Average production of flavour X in 1995, 1996 and 1997

    =[1x (50 + 40 + 55)]
3

    =(145)lakh bottles.
3

Average production of flavour Y in 1998, 1999 and 2000

    =[1x (55 + 50 + 55)]
3

    =(160)lakh bottles.
3

Therefore Difference
=(160-145)
33
=15
3
= 5 lakh bottles
= 5,00,000 bottles.