Question

The population of a village increases every year by 5%. At the end of two years, if 1025 people migrated to other places and the population of the village remained 10,000, what was the population of the village in the beginning?

(steps too please)

Answer 1

Answer:

Population after 3 years =

10000 (1 + 10 / 100 ) ( 1 + 20 / 100 ) ( 1 - 5 / 100 )

= 10000 multiply 11 / 10 multiply 6 / 5 multiply 19 / 20

= 12540

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Answer 2

the population of the village in the beginning (p) = 10,000

Step-by-step explanation:

given

rate (R) = 5%

people migrated = 1025

the population of the village (pt) = 10,000

time (T) = 2yrs

we know,

pt = p(1+R\100)^T - people migrated

10000 = p(1+5\100)^2 - 1025

10000+1025 = p(1.05)^2

11,025 = 1.1025 p

p = 10,000

the population of the village in the beginning (p) = 10,000