Question

In a village consisting of 150 females and 100 males . 1/15 of all females and 1/10 of all males are graduates . What fraction of all d villagers are graduates ?

Answer 1

Answer :

Given : In a village consisting of 150 females and 100 males . ${\frac{1}{15}}^{th}$of all females and ${\frac{1}{10}}^{th}$ of all males are graduates , So

Total number of graduates females = $\frac{1}{15}\times 150$ = 10

And

Total number of graduates males = $\frac{1}{10}\times 100$ = 10

Total number of villagers graduate = 10 + 10 = 20

And

Fraction of all the villagers are graduates = $\frac{20}{150+100}=\frac{20}{250}=\frac{\mathbf{2}}{\mathbf{25}}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{(}\mathbf{}\mathbf{Ans}\mathbf{}\mathbf{)}$