SSC (English Medium) Class 8Maharashtra State Board
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# The Population of a Suburb is 16000. Find the Rate of Increase in the Population If the Population After Two Years is 17640. - SSC (English Medium) Class 8 - Mathematics

ConceptApplication of Formula for Compound Interest

#### Question

The population of a suburb is 16000. Find the rate of increase in the population if the population after two years is 17640.

#### Solution

Here, P = Population of a suburb = 16000
A = Population after two years =17640
R = R %
N = 2 years

A = P (1 + "R"/100)^"N"

= 17640 = 16000 (1 + "R"/100)^2

= 17640/16000 = (1 + "R"/100)^2

= 441/400 = (1 + "R"/100)^2

= (21/20)^2 = (1 + "R"/100)^2

= 1 + "R"/100 = 21/20

= "R"/100 = 21/20 - 1

= "R"/100 = 1/20

= R = 5

Hence, the rate of increase in the population is 5 p.c.p.a.

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#### APPEARS IN

Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 14: Compound interest
Practice Set 14.2 | Q: 8 | Page no. 93
Solution The Population of a Suburb is 16000. Find the Rate of Increase in the Population If the Population After Two Years is 17640. Concept: Application of Formula for Compound Interest.
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