`40% "of" 250=50% "of" ?`

Options

A. 200
B. 100
C. 150
D. 400

Explanation

To solve the equation \( 40\% \text{ of } 250 = 50\% \text{ of } x \), we can follow these steps:

### Step 1: Calculate \( 40\% \text{ of } 250 \)
To find \( 40\% \text{ of } 250 \), we can use the formula:
\[ \text{Percentage} \times \text{Total} = \frac{40}{100} \times 250 \]
Calculating this gives:
\[ \frac{40 \times 250}{100} = \frac{10000}{100} = 100 \]

### Step 2: Set up the equation for \( 50\% \text{ of } x \)
Now that we know \( 40\% \text{ of } 250 = 100 \), we can set up the equation:
\[ 100 = 50\% \text{ of } x \]
This can be expressed as:
\[ 100 = \frac{50}{100} \times x \]

### Step 3: Solve for \( x \)
To isolate \( x \), we can multiply both sides of the equation by \( 100 \):
\[ 100 \times 100 = 50 \times x \]
This simplifies to:
\[ 10000 = 50x \]
Now, divide both sides by \( 50 \):
\[ x = \frac{10000}{50} = 200 \]

### Final Answer
Thus, the value of \( x \) is \( 200 \).

---