Answer
397.5k+ views
Hint: In this type of question we will use simple algebra. Now, the total number of males + total number of females gives us the total number of population. By using this concept we will get out no. of males and no. of females, by dividing them we will get its ratio.
Step by step solution:
Let no. of females \[ = y\]
Total population = No. of males + no. of females
So, as per the question total no. of population \[ = 180000\]
And population of male
\[\begin{array}{l}
= \dfrac{1}{3} \times 180000\\
= 60000
\end{array}\]
Hence by putting the value in the question we will get,
\[\begin{array}{c}
180000 = 60000 + y\\
y = 120000
\end{array}\]
So, the total no. of female population is \[120000\].
Now, ratio of the no. of females to the whole population
\[\begin{array}{l}
= \dfrac{{No.{\text{ }}of{\text{ }}female{\text{ }}population}}{{total{\text{ }}population}}\\
= \dfrac{{120000}}{{180000}}\\
= \dfrac{{12}}{{18}}\\
= \dfrac{2}{3}
\end{array}\]
So, our required ratio is \[\dfrac{2}{3}\].
Note:
We need to take care while applying simple algebra we can also observe population of females as if male population is \[\dfrac{1}{3}\] of whole population so female population must be \[\dfrac{2}{3}\] of whole population and by putting the value we will get our answer. Dimension of ratio is unitless that means ratio has no unit so while taking ratio both numerator as well denominator must be of same unit and if it is not of same unit then first convert it into its favorable dimension and take its ratio
Step by step solution:
Let no. of females \[ = y\]
Total population = No. of males + no. of females
So, as per the question total no. of population \[ = 180000\]
And population of male
\[\begin{array}{l}
= \dfrac{1}{3} \times 180000\\
= 60000
\end{array}\]
Hence by putting the value in the question we will get,
\[\begin{array}{c}
180000 = 60000 + y\\
y = 120000
\end{array}\]
So, the total no. of female population is \[120000\].
Now, ratio of the no. of females to the whole population
\[\begin{array}{l}
= \dfrac{{No.{\text{ }}of{\text{ }}female{\text{ }}population}}{{total{\text{ }}population}}\\
= \dfrac{{120000}}{{180000}}\\
= \dfrac{{12}}{{18}}\\
= \dfrac{2}{3}
\end{array}\]
So, our required ratio is \[\dfrac{2}{3}\].
Note:
We need to take care while applying simple algebra we can also observe population of females as if male population is \[\dfrac{1}{3}\] of whole population so female population must be \[\dfrac{2}{3}\] of whole population and by putting the value we will get our answer. Dimension of ratio is unitless that means ratio has no unit so while taking ratio both numerator as well denominator must be of same unit and if it is not of same unit then first convert it into its favorable dimension and take its ratio
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)