Question

the population of a town is 125000.It is increasing at the rate of 2% per annum.What will be its population after 3 years

Answer 1

$old \: population \: = 125000 \\ increased \: percent \: = 2\%pa \\ new \: population \: = 125000( { \frac{100 + 2}{100} )}^{2} \\ 125000( { \frac{102}{100}) }^{2} \\ 125000( { \frac{51}{50}) }^{2} \\ 125000( \frac{51 \times 51}{50 \times 50} ) \\ 125000 \times \frac{2601}{2500} \\ 50 \times 2601 \\ 130050$