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 the villagers are graduates ?

Answer 1

Answer :

• 2/25 is the fraction of all the villagers are graduates

Given :

• In a village consisting of 150 females and 10 males
• 1/15 of all females and 1/10 of all males are graduates

To find :

• Fraction of the villagers are graduates

Solution :

Given , 150 females and 100 males so we have to find the total number of villagers

》150 + 100 = 250

Total number of villagers is 250

• Number of females is 1/15
• Number of males is 1/10

》Number of females is 1/15

》1/15 × 150

》10

》Number of males is 1/10

》1/10 × 100

》10

Now Total Number of graduates:

》10 + 10 = 20

Now we have to find the fraction of all the villagers are graduates:

• Number of villagers is 259
• Number of graduates is 20

》20/250

》2/25

Hence , 2/25 is the fraction of all the villagers are graduates

Verification :

》1/10 + 1/15

》2/25

Hence verified