Question

The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have been
A. 1 846 000
B. 1 852 000
C. 1 000 000
D. 1 500 000

Answer 1

2000000's 2% =40000
In 31 dec 2002 population =2000000-40000
=1960000
After that,
1960000's 2%=39200
In 31 dec 2001 population =1960000-39200
=1920800
After that,
1920800's 2%=38416
In 31 dec 2000 population=1920800-38416
=1,882,384
So now,
1,882,384's 2%=37,647.68
In 31 dec 1999 population=1882384-37647.68
=1,844,736.32
Hence, ans is (a)