Question

The population of a village increases by 10% every year. If the present population is 6000, what will be the population of the village after 3 years?

Solution:

The present population P = 6000,

Rate (r) = 10

Unit of time being year (n) = 3

Q = P(1 + r100)n

⟹ Q = 6000(1 + 10100)3

⟹ Q = 6000(1 + 110)3

⟹ Q = 6000(1110)3

⟹ Q = 6000 × (1110) × (1110) × (1110)

⟹ Q = 7986

Therefore, the population of the village will be 7986 after 3 years.