Question

The population of a village is 5000. It is increasing at
the rate of 10% each year. At the end of 3 years, 1155
people migrate from the village. The net increase in
population at the end of 3 years is?
A) 27% B) 30%
C) 9% D) 10%

Answer 1

The population of a village is 5000. It is increasing at
the rate of 10% each year. At the end of 3 years, 1155
people migrate from the village. The net increase in
population at the end of 3 years is?

The first part is GP with first term 5000 and common ratio 1.1.
At the end of 3 years, before migration, population becomes 6050 (see attached for details)

The next part you need to settle is migration. Since 1155 people migrate away, then no. of people after 3 years = 6050-1155 = 4895

Answer 2

Wait... Is it immigrate into village or emigrate out of village

Answer 3

If it is immigrate into village then different story. Same thing holds for part (i), but
No. of people = 6050 + 1155 = 7205
Net growth = (7205-5000)/5000 *100% = 44.1% but there's no answer close....