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Lets assume that the initial population was P now after a year population will be = P+(2/100)P =P(102/100) =1.02P Similarly after 2 years population will be =1.02x1.02xP So after n number of years population will be =P x (1.02^n) now this population should be equal to P+40%P, so 1.4P=P x (1.02^n) 1.4=1.02^n 1.02^17=1.02^n so n=17 that means after 17 years the total increase in the population will be 40% of that of initial population.