There is a Continuous Growth in Population of a Village at the Rate of 5% per Annum. If Its Present Population is 9261, What It Was 3 Years Ago? - Mathematics

Sum

There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9261, what it was 3 years ago?

Solution

Population after three years = P $\left( 1 + \frac{R}{100} \right)^n$
$9, 261 = P \left( 1 + \frac{5}{100} \right)^3$
$9, 261 = P \left( 1 . 05 \right)^3$
$P = \frac{9, 261}{1 . 157625}$
$= 8, 000$
Thus, the population three years ago was 8, 000.

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 14 Compound Interest
Exercise 14.4 | Q 5 | Page 27