Question : Directions: A health drink company prepares the drink in three flavours: P, Q, and R. The production of three flavours over six years has been expressed on a bar graph below. Study the graph and answer the question. Production of 3 different flavours of health drinks by the company in 6 years (in lakh bottles): Which of the following years is the percentage rise or fall in production from the previous year the maximum for the flavour Q?
Option 1: 2007
Option 2: 2009
Option 3: 2010
Option 4: 2006
Correct Answer: 2007
Solution : For the year 2006, Production of flavour Q in 2006 = 60 lakh Production of flavour Q in 2005 = 55 lakh Percentage change = $\frac{\text{Production of flavour Q in 2006 – Production of flavour Q in 2007}}{\text{Production of flavour Q in 2005}}$ × 100 Percentage change = $\frac{60- 55}{55}$ × 100 = 9.09% (increase) For the year 2007, Production of flavour Q in 2007 = 50 lakh Production of flavour Q in 2006 = 60 lakh Percentage change = $\frac{\text{Production of flavour Q in 2006 – Production of flavour Q in 2007}}{\text{Production of flavour Q in 2006}}$ × 100 Percentage Change = $\frac{60–50}{60}$ × 100 = 16.66% (decrease) For the year 2008, Production of flavour Q in 2007 = 50 lakh Production of flavour Q in 2008 = 55 lakh Percentage change = $\frac{\text{Production of flavour Q in 2008 – Production of flavour Q in 2007}}{\text{Production of flavour Q in 2007}}$ × 100 Percentage change = $\frac{55–50}{50}$ × 100 = 10% (increase) For the year 2009, Production of flavour Q in 2009 = 50 lakh Production of flavour Q in 2008 = 55 lakh Percentage change = $\frac{\text{Production of flavour Q in 2008 – Production of flavour Q in 2009}}{\text{Production of flavour Q in 2008}}$ × 100 Percentage change = $\frac{55–50}{55}$ × 100 = 9.09% (decrease) For the year 2010, Production of flavour Q in 2009 = 50 lakh Production of flavour Q in 2010 = 55 lakh Percentage change = $\frac{\text{Production of flavour Q in 2010–Production of flavour Q in 2009}}{\text{Production of flavour Q in 2009}}$ × 100 Percentage change = $\frac{55–50}{50}$ × 100 = 10% (increase) The maximum change is the rise/fall in production from the previous year was 16.67% during 2007. Hence, the correct answer is 2007.
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Question : Directions: A health drink company prepares the drink in three flavours: P, Q, and R. The production of three flavours over six years has been expressed on a bar graph below. Study the graph and answer the question. Production of 3 different flavours of health
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