Explanation:

To find the average percent increase of the population per year, we can follow these steps:

Step 1: Calculate the total increase in population over the decade.
- Initial population = 1,75,000
- Final population = 2,62,500
- Total increase = Final population - Initial population
- Total increase = 2,62,500 - 1,75,000 = 87,500

Step 2: Calculate the percentage increase over the decade.
- Percentage increase = (Total increase / Initial population) × 100
- Percentage increase = (87,500 / 1,75,000) × 100

Step 3: Simplify the percentage increase calculation.
- Percentage increase = (87,500 / 1,75,000) = 0.5
- Percentage increase = 0.5 × 100 = 50%

Step 4: Calculate the average percent increase per year.
- Since this increase happened over 10 years, we divide the total percentage increase by 10.
- Average percent increase per year = Total percentage increase / Number of years
- Average percent increase per year = 50% / 10 = 5%

Conclusion:
The average percent increase of the population per year is 5%.