If X = 600 and Y = 800, then X is how much percent less than Y?

Options

A. `33.33`
B. 25
C. 75
D. 35

Answer

To find out how much percent less X is than Y, we can follow these steps:

### Step 1: Identify the values of X and Y
Given:
- X = 600
- Y = 800

### Step 2: Calculate the difference between Y and X
We need to find out how much less X is than Y. This can be calculated by subtracting X from Y:
\[ \text{Difference} = Y - X = 800 - 600 \]
\[ \text{Difference} = 200 \]

### Step 3: Calculate the percentage of the difference with respect to Y
To find out how much percent less X is than Y, we need to divide the difference by Y and then multiply by 100 to convert it into a percentage:
\[ \text{Percentage} = \left( \frac{\text{Difference}}{Y} \right) \times 100 \]
\[ \text{Percentage} = \left( \frac{200}{800} \right) \times 100 \]

### Step 4: Simplify the fraction
Now, simplify the fraction:
\[ \frac{200}{800} = \frac{1}{4} \]

### Step 5: Calculate the percentage
Now multiply by 100:
\[ \text{Percentage} = \frac{1}{4} \times 100 = 25 \]

### Conclusion
Thus, X is 25% less than Y.

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