The population of a village increases by 10% every year. Its populatio

1.	The population of a village increases by 10% every year. Its population at the end of 2015 was 7986. What was its population at the beginning of 2013?(1) 4000 (2) 4500 (3) 5000 (4) 6000
Answer» Let the population of the village at the beginning of 2013 be x•population at the end of 2013= x+(10/100)x= (11/10)x •population at the end of 2014= (11/10)x+(11/100)x= (121/100)x •population at the end of 20157986 = (121/100)x+(121/1000)x7986 = (1210+121/1000)xx = 7986/1.331 x = 6000 hence the population at the beginning of 2013 was 6000

The population of a village increases by 10% every year. Its population at the end of 2015 was 7986. What was its population at the beginning of 2013?(1) 4000 (2) 4500 (3) 5000 (4) 6000

Answer»

Let the population of the village at the beginning of 2013 be x•population at the end of 2013= x+(10/100)x= (11/10)x

•population at the end of 2014= (11/10)x+(11/100)x= (121/100)x

•population at the end of 20157986 = (121/100)x+(121/1000)x7986 = (1210+121/1000)xx = 7986/1.331 x = 6000

hence the population at the beginning of 2013 was 6000