Answer

Verified

455.1k+ views

**Hint:**Here it is enough if we find the percentage value at the end of each year and add it with the population of the previous year.

**Complete step-by-step answer:**Step 1:

We are given that at present the population is 25000.

Let us consider the present population to be ${P_1}$

${P_1} = 25000$

Now it is given that there is a population rise of 4% in the first year .

This is nothing other than 4% of ${P_1}$, people have increased.

So ,let's find the value of 4% of ${P_1}$,

$

\Rightarrow \dfrac{4}{{100}}*25000 = 4*250 \\

{\text{ }} = 1000 \\

$

Therefore there is a rise of 1000 people at the end of first year .

So now the population at the end of first year is ${P_1} + 1000$

Let the new population be${P_2}$

Therefore

$

{P_2} = {P_1} + 1000 = 25000 + 1000 = 26000 \\

\therefore {P_2} = 26000 \\

$

Step 2:

Now let's repeat the same process with ${P_2}$

Now it is given that there is a population rise of 5% in the second year .

This is nothing other than 5% of ${P_2}$, people have increased.

So ,let's find the value of 5% of ${P_2}$,

$

\Rightarrow \dfrac{5}{{100}}*26000 = 5*260 \\

{\text{ }} = 1300 \\

$

Therefore there is a rise of 1300 people at the end of second year when compared to the previous year.

So now the population at the end of second year is ${P_2} + 1300$

Let the new population be${P_3}$

Therefore

$

{P_3} = {P_2} + 1300 = 26000 + 1300 = 27300 \\

\therefore {P_3} = 27300 \\

$

Step 3:

Now let's repeat the same process with ${P_3}$

Now it is given that there is a population rise of 8% in the third year .

This is nothing other than 8% of ${P_3}$, people have increased.

So ,let's find the value of 8% of ${P_3}$,

$

\Rightarrow \dfrac{8}{{100}}*27300 = 8*273 \\

{\text{ }} = 2184 \\

$

Therefore there is a rise of 2184 people at the end of third year when compared to the previous year.

So now the population at the end of third year is ${P_3} + 2184$

Let the new population be${P_4}$

Therefore

$

{P_4} = {P_3} + 2184 = 27300 + 2184 = 29484 \\

\therefore {P_4} = 29484 \\

$

Therefore the population after three years is 29,484.

**The correct option is A**

**Note:**The percent rate is calculated by dividing the new value by the original value and multiplying by 100%. The percentage value or new value is calculated by multiplying the original value by the percent rate and dividing by 100%.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Why is there a time difference of about 5 hours between class 10 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Draw a labelled sketch of the human eye class 12 physics CBSE