Question : The bar graph given here shows the data on the production of cars by three different companies X, Y, and Z over the years. For which of the following years is the percentage rise/fall in the production from the previous year the maximum for company Y?
Option 1: 2019
Option 2: 2018
Option 3: 2016
Option 4: 2017
Correct Answer: 2017
Solution : Production of cars by Y in 2016 = 25 Production of cars by Y in 2017 = 35 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{35-25}{25}\times100=40$% Production of cars by Y in 2018 = 35 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{35-35}{35}\times100=0$% Production of cars by Y in 2019 = 40 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{40-35}{35}\times100=14.28$% Production of cars by Y in 2020 = 50 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{50-40}{40}\times100=25$% A maximum percentage increase is seen in the year 2017. Hence, the correct answer is 2017.
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