The population of a village increased from 800 to 900. Find the percentage increase.

March 23, 2026Mathematics

ScanSolve AI Answer

March 23, 2026

Answer

12.5%

Step 1: Calculate the absolute increase in population. The population increased from $800$ to $900$ . $\text{Increase} = New population - \text{Original population}$ $\text{Increase} = 900 - 800$ $\text{Increase} = 100$

Step 2: Calculate the percentage increase. The formula for percentage increase is: $\text{Percentage Increase} = \frac{Increase}{Original population} \times 100\%$ Substitute the values: $\text{Percentage Increase} = \frac{100}{800} \times 100\%$

Step 3: Simplify the fraction and calculate the percentage. $\text{Percentage Increase} = \frac{1}{8} \times 100\%$ $\text{Percentage Increase} = 0.125 \times 100\%$ $\text{Percentage Increase} = 12.5\%$

The percentage increase is $\boxed{12.5\%}$ .

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Quick Answer

Calculate the absolute increase in population. The population increased from 800 to 900.

Asked on March 23, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 23, 2026

Step 1: Calculate the absolute increase in population. The population increased from 800 to 900. Increase = New population - Original population Increase = 900 - 800 Increase = 100 Step 2: Calculate the percentage increase. The formula for percentage increase is: Percentage Increase = IncreaseOriginal population × 100\% Substitute the values: Percentage Increase = (100)/(800) × 100\% Step 3: Simplify the fraction and calculate the percentage. Percentage Increase = (1)/(8) × 100\% Percentage Increase = 0.125 × 100\% Percentage Increase = 12.5\% The percentage increase is 12.5\%.