Question

(7) 5% वार्षिक दर से बढ़ते हुए वर्ष 2000 के अंत में एक स्थान की जनसंख्या 20,000 हो
गई। निम्नलिखित को ज्ञात कीजिए।
(i) वर्ष 1998 में जनसंख्या (ii) वर्ष 2002 में जनसंख्या।​

Answer 1

Given:

5% वार्षिक दर से बढ़ते हुए वर्ष 2000 के अंत में एक स्थान की जनसंख्या 20,000 हो

गई।

To find:

निम्नलिखित को ज्ञात कीजिए।

वर्ष 1998 में जनसंख्या

वर्ष 2002 में जनसंख्या।​

Solution:

The population of the year 2000 = 20,000

The rate of increase in population = 5%

We know,

$\boxed{\bold{A = P [1 + \frac{R}{100} ]^n}}$

where A = population after n years, P = initial population, R = rate of increase and n = no. of years

Finding the population in the year 1998:

The no. of years (1998 to 2000), n = 2 years

Therefore,

$A_2_0_0_0 = P_1_9_9_8 [1 + \frac{R}{100} ]^n$

$\implies 20000 = P [1 + \frac{5}{100} ]^2$

$\implies 20000 = P [ \frac{105}{100} ]^2$

$\implies P = 20000 [ \frac{100}{105} ]^2$

$\implies \bold{P = 18141}$ (approximately)

Thus, the population in the year 1998 was → 18141.

Finding the population in the year 2002:

The no. of years (2000 to 2002), n = 2 years

Therefore,

$A_2_0_0_2 = P_2_0_0_0 [1 + \frac{R}{100} ]^n$

$\implies A = 20000 [1 + \frac{5}{100} ]^2$

$\implies A = 20000 \times [ \frac{105}{100} ]^2$

$\implies \bold{A = 22050}$

Thus, the population in the year 2002 is → 22050.

---------------------------------------------------------------------------------------------

Also View:

The population of a village increase by 7% every year. if the present population is 80000 then what will be the population after two years.

brainly.in/question/4885665

the population of a certain town was 50000 in a year male population was increased by 5% and female population was increased by 3% now the population became 52020 then what was the number of male and female in the previous year

brainly.in/question/2230959

The population of a place in a particular year increased by 15 %. Next year it decreased by 15%. Find the net increase or decrease per cent in the initial population.

brainly.in/question/6683512