Question Details

A newly formed state government wants tobring more development in the state. Therefore, the  government proposed to launch various welfare programmes. Before bringing up any welfare programme, the state gtovernment intended to understand the population percentage of the state by age groups, so that the government could plan the welfare programmes accordingly. The state government found that the state’s 30 per cent of the population were children between the age group of 0-15. Next to child population, 17.75 per cent of the population were adolescents between the age group of 16 and 25. The early adult population, i.e., the age groups 26 to 35 were 17.25 per cent, 36 to 45 were 14.50 per cent, respectively. The population who are between the age group of 46 to 55 constitute 14.25 per cent and the elderly population of the state, i.e., 56 to 65 (5.12%) and 66 above (1.13%) was comparatively less than the other age groups. To get a better clarity, the state government concerned is seeking the answers to following questions:


f the difference between the number of people in the age groups 46-55 and 26-35 is 15.75 million, then total population of the state is approximately?

Options

A

360.23 million

B

390 million

C

400 million

D

525 million

Show Answer

Correct Answer :

Option D

525 million

Solution :

The correct option is 525 million.


Step-by-step Explanation:


Step 1: Extract the given percentage data for the specified age groups

From the problem statement, we have the following percentage distribution for the population by age groups:
- Percentage of population in the age group 26-35 = 17.25%
- Percentage of population in the age group 46-55 = 14.25%


Step 2: Calculate the difference in percentage between the two age groups

We find the percentage difference between the population aged 26-35 and the population aged 46-55:

Percentage Difference = 17.25 % - 14.25 % = 3.00 %


Step 3: Calculate the total population of the state

We are given that the difference in the number of people between these two age groups is 15.75 million.
This implies that 3% of the total population corresponds to 15.75 million people.

Let the total population of the state be P.

3 %  of  P = 15.75  million

3 100 × P = 15.75

P = 15.75 × 100 3

P = 5.25 × 100 = 525  million


Therefore, the total population of the state is 525 million.

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