Question

40% of the population of the town are men,35% are women and the remaining are children.If the number of children are 28000, what is total population of the town ?
(LESSON:- PERCENTAGE AND ITS APPLICATION)

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{total}\mathrm{population}\mathrm{of}\mathrm{the}\mathrm{town}=\mathrm{x} \\ \mathrm{Percentage}\mathrm{of}\mathrm{men}=40\% \\ \mathrm{Percentage}\mathrm{of}\mathrm{women}=35\% \\ \mathrm{Percentage}\mathrm{of}\mathrm{children}=\left[100-\left(40+35\right)\right]\%=\left(100-75\right)\%=25\% \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ 25\%\mathrm{of}\mathrm{x}=28000 \\ \Rightarrow \frac{25\mathrm{x}}{100}=28000 \\ \Rightarrow \mathrm{x}=4\times 28000 \\ \Rightarrow \mathrm{x}=112000 \\ \mathrm{So},\mathrm{total}\mathrm{population}=112000 \end{gathered}$$