Directions: 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.

Production of three different flavours X, Y and Z by a company over the years (in lakh bottles)

Important for :
1
The total production of flavor Z in 2007 and 2008 is what per cent of the total production of flavor X in 2005 and 2006?
» Explain it
D
Total production of flavour Z in 2007 and 2008 = 60 + 60 = 120 lakh bottles

Total production of flavour X in 2005 and 2006 = 50 + 40 = 90 lakh bottles

∴   Reqd %

 = 120 × 100% = 133.33% 90

Hence, option D is correct.

2
For which flavor was the averages annual production maximum in the give period?
» Explain it
B
X production over the years = 50 + 40 + 55 + 45 + 60 + 50 = 300

Y production over the years = 55 + 60 + 50 + 55 + 50 + 55 = 325

Z production over the years = 45 + 50 + 60 + 60 + 45 + 40 = 300

Just from addition of the given values we can infer that the greatest average will be of company Y because the sum of values is the higest for it.

Hence, option B is correct.

3
What is the difference between the average production of flavor X in 2005, 2006 and 2007 and the average production of flavor Y in 2008, 2009 and 2010?
» Explain it
D
Average production of flavour X in 2005, 2006 and 2007

 = 1 × (50 + 40 + 55) 3

 = ( 145 ) lakh bottles 3

Avg production of flavour Y in 2008, 2009 and 2010
 = 1 × (55 + 50 + 55) 3

 = ( 160 ) lakh bottles 3

 ∴   Reqd difference = ( 160 – 145 ) = 15 3 3 3

= 5 lakh bottles

Hence, option D is correct.

4
What is the approximate decline in the production flavor Z in 2010 as compared to the production in 2008?
» Explain it
C
Percentage decline in the production of flavour Z in 2010 as compared to the production in 2008

 = (60 – 40) × 100% 60

 = 20 × 100 = 33.33% ≈ 33% 60

Hence, option C is correct.

5
For which of the following years the percentage rise/fall in production from the previous years is the maximum for flavor Y?
» Explain it
B
In 2007 we can cleary observe that the fall in production from the previous year is the maximum.

Hence, option B is correct.

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