मराठी

The Population of a City is 125000. If the Annual Birth Rate and Death Rate Are 5.5% and 3.5% Respectively, Calculate the Population of City After 3 Years. - Mathematics

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प्रश्न

The population of a city is 125000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of city after 3 years.

बेरीज

उत्तर

Here, P = Initial population = 1,25,000

Annual birth rate = `"R"_1` = 5.5 % 

Annual death rate = `"R"_2` = 3.5 % 

Net growth rate, R = \[\left( R_1 - R_2 \right) = 5.5 - 3.5 = 2 %\]

n = Number of years = 3

∴ Population after three years = P \[ \left( 1 + \frac{R}{100} \right)^n \]

\[=1,25,000\left(1+\frac{2}{100}\right)^3 \]

\[=1,25,000\times\left(1.02\right)^3\]

\[= 1,32,651\]

Hence, the population after three years will be 1,32,651.

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पाठ 14: Compound Interest - Exercise 14.4 [पृष्ठ २७]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 14 Compound Interest
Exercise 14.4 | Q 2 | पृष्ठ २७

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