Question

The population of a place increased to 54000 in 2003 at a rate of 5% per annum
(i) find the population in 2001​

Answer 1

Population in 2001 at the rate of 5%per annum = 51300 x ( 5 / 100) = 2565. = 51300 - 2565 = 48735. Now population in 2003 = 54000.

Answer 2

Answer:

Let P be the population in 2001, i.e., 2 years ago

Then, PresentPopulation=P×(1+

100

5

)

2

⇒54000=P×

100

105

×

100

105

⇒P=

105×105

54000×100×100

=48979.59

Hence, the Population in the year 2001 is 48980.