Question

2. Find the population of a city after 2 years, if its present population is 15 lakh and growth rate is 2.5% per
annum​

Answer 1

GIVEN :–

• Current population (P) = 15,00,000

• Rate = 2.5 %

• Time = 2 year

TO FIND :–

• Population after 2 year = ?

SOLUTION :–

• We know that population after n year –

$\\ \implies \large{ \boxed{\bf P' = P \bigg(1 + \dfrac{R}{100} \bigg)^{n}}}$

• Now put the values –

$\\ \implies\bf P' = 1500000 \bigg(1 + \dfrac{2.5}{100} \bigg)^{2}$

$\\ \implies\bf P' = 1500000 \bigg(\dfrac{100 + 2.5}{100} \bigg)^{2}$

$\\ \implies\bf P' = 1500000 \bigg(\dfrac{102.5}{100} \bigg)^{2}$

$\\ \implies\bf P' = 1500000 (1.025)^{2}$

$\\ \implies\bf P' = 1500000 (1.050625)$

$\\ \implies\bf P' = 1,575,937.5$