The population of a place increased to 54000 in 2003 at a rate of 5% per annum. Find the population in 2001?
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Solution
Given: we use formula of amount of compound interest to find population A( 2003)= 54,000, R =5% n = 2 years In 2001 Population would be less than 2003 in two years
.A(2003)= P(2001)(1+R/100)^n 54000 = P (2001)(1+5/100)² 54000 = P(2001)(1+1/20)² 54000= P(2001)(21/20)² 54000 = P(2001)((21×21)/(20×20))P(2001)= ( 54000×20×20)/21×21 Population in 2001 = 48979.59= 48980(approx)
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