Question

in a colony the number of people in the age group of 25 years to 35 years are 25% of the total number of people living in the colony. of the people in the age group of 25 years to 35 years 40% graduates. the number of people in the age group of 25 years to 35 years who are graduate is what percentage of the total number of people living in the colony

Answer 1

Answer:

Let the number of people living in the colony be 'x'.

So it is given that:

• 25% of total number of people are between 25 to 35 years.

Hence the number of people having their age between 25 to 35 years is:

$\implies \dfrac{25}{100} \times x = 0.25 x$

Now it is given that, out of these 0.25x people, 40% are graduates.

Hence the number of graduates is determined as:

$\implies \dfrac{40}{100} \times 0.25x = 0.1x$

Hence 0.1x can be written as 10% of x.

Hence the percentage of graduate people of the age group 25 to 35 years is 10% of the total population.

Answer 2

Step-by-step explanation:

Answer:

Let the number of people living in the colony be 'x'.

So it is given that:

25% of total number of people are between 25 to 35 years.

Hence the number of people having their age between 25 to 35 years is:

$\implies \dfrac{25}{100} \times x = 0.25 x$

Now it is given that, out of these 0.25x people, 40% are graduates.

Hence the number of graduates is determined as:

$\implies \dfrac{40}{100} \times 0.25x = 0.1x$

Hence 0.1x can be written as 10% of x.

Hence the percentage of graduate people of the age group 25 to 35 years is 10% of the total population.