A : B = 8 : 9
Let Ratio of population in City A to City B be => 8x : 9x.
Difference = 8x â€“ 9x = x = 10500.
Population in City B in 2011 = 9 x 10500 = 94500.
Let population in City B in 2010 be 100 or 100%.
Then in 2011 = 100 + 5% of 100 (increase) = 105% of the population in 2010.
As population in City B in 2011 = 94500 = 105% of 2010.
Population in City B in 2010 = $\displaystyle \frac{94500}{105} \times$ 100 = 90000.
Clearly in 2016, as the population in City A is continuously increasing.
2011 = 100000 + 10% 100000 => 2012 = 100000 + 10000 = 110000.
2013 = 110000 + 7.5% of 110000 => 110000 + 8250 = 118250.
Let population in City B in 2011 be 100.
Then in 2012 => 100 + 10% = 110%.
In 2013 => 110 + 7.5% of 110 = 110 + 8.25 = 118.25%.
In 2014 => 118.25 + 10% of 118.25 = 130.075% or 130%.
Increase = 130 â€“ 100 = 30%.
City A = 2011 => 100000 + 7.5% of 100000 = 107500 in 2012.
From 2012 to => 107500 + 10% of 107500 = 107500 + 10750 = 118250.
Population of City A in 2013 = 118250.
City B in 2011 = 100000 + 10% of 100000 = 110000 in 2012.
From 2012 to => 110000 + 7.5% of 110000 = 110000 + 8250 = 118250.
Population in city B in 2013 = 118250.
In both the Cities A and B are equal.
Price per unit = $\displaystyle \frac{\text{Total price or Cost}}{\text{Quantity}}$
Quantity = 150 lakh liters = 15000000 liters and Total price = 90 crore.
Price per liter = $\displaystyle \frac{900000000}{15000000}$ = Rs.60/lr.
Price in 2011 = Rs.60 per liter.
Price in 2015 => Quantity => 350 x 100000 = 35000000 liters.
Price = 245 crore.
Price per unit = $\displaystyle \frac{\text{Total price or Cost}}{\text{Quantity}}$
Price per liter = $\displaystyle \frac{2450000000}{35000000}$ = Rs.70/lr.
Increase in price = Rs.70 â€“ Rs.60 = Rs.10.
Percentage increase = $\displaystyle \frac{10}{60} \times$ 100 = 16.66%.
Production in 2011 is 150 Tons.
Production in 2015 = 350 liters.
Increase = $\displaystyle \frac{350}{150} \times$ 100 = 233.33%.
Increased by 233.33 â€“ 100 = 133.33%.
Total production = 1175 lakh liters.
Average production = $\displaystyle \frac{1175}{5}$ = 235 lakh liters.
Total price 765 crore.
Average = $\displaystyle \frac{765}{5}$ = 153 crore.
Two years: 2014 and 2015.
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