The table below shows data related to the population of village A:

| Parameter | Value |
|---------------------------------|----------------|
| Percentage of literate population | 75\% |
| Literate male population | 1050 |
| Percentage of illiterate males | 40\% of illiterate population |
| Total female population (literate + illiterate) | 750 |

Find the difference between the total male population and the total female population of village A.

Question

The table below shows data related to the population of village A:

| Parameter                        | Value          |
|---------------------------------|----------------|
| Percentage of literate population | 75\%           |
| Literate male population          | 1050           |
| Percentage of illiterate males    | 40\% of illiterate population |
| Total female population (literate + illiterate) | 750 |

Find the difference between the total male population and the total female population of village A.

Accepted Answer

**Solution:**

1. Let the total population of village A be $100x$.

2. Total literate population = $75\%$ of total population = $75x$.

3. Total illiterate population = Total population - Literate population = $100x - 75x = 25x$.

4. Given literate male population = 1050.

5. Therefore, literate female population = Total literate population - Literate male population = $75x - 1050$.

6. Illiterate male population = $40\%$ of illiterate population = $0.40 	imes 25x = 10x$.

7. Illiterate female population = Total illiterate population - Illiterate male population = $25x - 10x = 15x$.

8. Total female population (literate + illiterate) is given as 750, so:
   $$ (75x - 1050) + 15x = 750 $$

9. Simplify the equation:
   $$ 75x - 1050 + 15x = 750 $$
   $$ 90x - 1050 = 750 $$
   $$ 90x = 750 + 1050 = 1800 $$
   $$ x = \frac{1800}{90} = 20 $$

10. Calculate total male population:
    - Literate males = 1050
    - Illiterate males = $10x = 10 	imes 20 = 200$
    - Total males = $1050 + 200 = 1250$

11. Total female population is given as 750.

12. Required difference = Total males - Total females = $1250 - 750 = 500$.

**Answer:** 500

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