2500 is greater than 500 by _________%.

Options

A. 200 %
B. 300 %
C. 400 %
D. 500 %

Answer

To find out how much greater 2500 is than 500 in terms of percentage, we can follow these steps:

### Step 1: Identify the values
We have two values:
- Greater value (new value) = 2500
- Original value = 500

### Step 2: Calculate the change
To find the change, we subtract the original value from the greater value:
\[ \text{Change} = \text{Greater value} - \text{Original value} \]
\[ \text{Change} = 2500 - 500 = 2000 \]

### Step 3: Use the percentage increase formula
The formula for percentage increase is:
\[ \text{Percentage Increase} = \left( \frac{\text{Change}}{\text{Original value}} \right) \times 100 \]

### Step 4: Substitute the values into the formula
Now, we substitute the change and the original value into the formula:
\[ \text{Percentage Increase} = \left( \frac{2000}{500} \right) \times 100 \]

### Step 5: Simplify the fraction
Now we simplify the fraction:
\[ \frac{2000}{500} = 4 \]

### Step 6: Multiply by 100
Now, we multiply by 100 to find the percentage:
\[ \text{Percentage Increase} = 4 \times 100 = 400\% \]

### Final Answer
Thus, 2500 is greater than 500 by **400%**.

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