Find the average increase rate, if increase in the population in the first year is 30% and that in the second year is 40%.

Let 100 be the original population. 1st years population increased = 30% So, Population after first year = (100 + 30% of 100) = 130 Population in second year increases by 40%, Then Population = (130 + 40% of 130) = 182 The final population become 182 which was originally at 100. It means there is 82% increment in the population in 2 years So, Average increment = 822 = 41% Mind Calculation Method: Increase in population is given by, 100 == 30% ↑ ⇒ 130 == 40% ↑ ⇒ 182 Hence, average increase = 82/2 = 41%