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If the population of a village increased from 1,75,000 to 2,62,500 in 5 years, then find the average percentage increase in the population per year.
Question

If the population of a village increased from 1,75,000 to 2,62,500 in 5 years, then find the average percentage increase in the population per year.

A.

9%

B.

12%

C.

10%

D.

15%

Correct option is C

Given:
Population of a village increased from 1,75,000 to 2,62,500 in 5 years.
Formula Used:
Average = sum of terms/number of terms
Solution:
Increased Population = 262500 - 175000
Increased Population = 87500
Increased % = 87500175000×100%\frac{87500 }{ 175000 }× 100 \%​​
Increased % = 50% 
Average percentage increase in the population per year = 50%5=10%.\frac{50 \%}{5} = 10 \%.​​

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