Cough syrup of three different flavors - A, B and C (in lakh bottles) manufactured by a medicine company over a period of five years from 2010 to 2014 has been shown in the bar graph. The ratio of the average production of all flavors in 2012 to the difference of the average production of flavor A in 2012, 2013 and 2014 and the average production of flavor C in 2012, 2013 and 2014 is:

Cough syrup of three different flavors - A, B and C (in lakh bottles) manufactured by a medicine company over a period of five years from 2010 to 2014 has been shown in the bar graph. The ratio of the average production of all flavors in 2012 to the difference of the average production of flavor A in 2012, 2013 and 2014 and the average production of flavor C in 2012, 2013 and 2014 is: Correct Answer 11 : 3

Calculation:

The ratio of the average production of all flavors in 2012 = (50 + 50 + 65)

⇒ 165

Average production of all the flavors = 165/3 = 55

The ratio of average production of flavor A in 2012, 2013 and 2014 = (50 + 45 + 75)

⇒ 170

The average production of flavor A in 2012, 2013 and 2014 = 170/3 = 56.66

The ratio of average production of flavor C in 2012, 2013 and 2014 = (65 + 70 + 80)

⇒ 215

The average production of flavor C in 2012, 2013 and 2014 = 215/3 = 71.66

Difference of the average production of flavor A in 2012, 2013 and 2014 and the average production of flavor C in 2012, 2013 and 2014 = (71.66 – 56.66)

⇒ 15

required ratio = 55 : 15

⇒ 11 : 3

∴ The ratio of the average production of all flavors in 2012 to the difference of the average production of flavor A in 2012, 2013 and 2014 and the average production of flavor C in 2012, 2013 and 2014 is 11 : 3

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