Answer

Verified

444.3k+ views

**Hint:**In this problem we will suppose that the population is $x$ then calculate the population of each section using the percentage of each section. Using ratio and proportion we will find the exact population of the village.

If suppose section A has y percent then its population $=\dfrac{A}{100}\times Total\text{ }Population$

**Complete step-by-step answer:**

Given, the population of village X below the poverty line is \[12160\]. …. (i)

Now, let the population of village X be \[x\]. ……. (ii)

Then, \[38\% \] of \[x\]\[ = 12160\] [from eq, (i) & (ii)]

Because, \[38\% \] is the population of village X below the poverty line.

\[ \Rightarrow \,38\% \,of\,x = 12160\,\]

\[ \Rightarrow \,\dfrac{{38}}{{100}} \times \,x = 12160\,\]

\[ \Rightarrow \,38 \times \,x = 12160 \times 100\,\]

\[ \Rightarrow \,\,x = \dfrac{{12160 \times 100}}{{38}}\]

\[ \Rightarrow \,\,x = 320 \times 100\]

\[ \Rightarrow \,\,x = 32000\]

Now, if she the total population of village S, then

Given, percentage population of village X\[ = 16\% \]

Percentage population of village S\[ = 11\% \]

Population of village X\[ = x = 32000\]

Population of village S\[ = s\]

By comparing quantities

Ratio of percentage population of both village X and S \[ = \]Ratio of population of village X and S.

\[16:11 = 32000:S\]

\[ \Rightarrow \dfrac{{16}}{{11}} = \dfrac{{32000}}{S}\]

\[ \Rightarrow \dfrac{{16 \times S}}{S} = 32000 \times 11\]

$\Rightarrow$\[S = \dfrac{{32000 \times 11}}{{16}}\]

$\Rightarrow$\[S = 2000 \times 11\]

$\Rightarrow$\[S = 22000\]

**Hence, the population of village S is \[22000\].**

**Note:**The above given diagram in the question represents a pie chart. A pie chart is a circular statistical graphic which is divided into many slices to represent the numerical proportions.

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

Harsha Charita was written by A Kalidasa B Vishakhadatta class 7 social science CBSE

Which are the Top 10 Largest Countries of the World?

Banabhatta wrote Harshavardhanas biography What is class 6 social science CBSE

Difference Between Plant Cell and Animal Cell

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

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

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

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