16% of 450 `div ` ?% of 250=4.8

Options

A. 12
B. 6
C. 4
D. 10

Explanation

To solve the equation \( \frac{16\% \text{ of } 450}{? \% \text{ of } 250} = 4.8 \), we will follow these steps:

### Step 1: Calculate 16% of 450
To find 16% of 450, we use the formula:
\[ \text{Percentage} = \frac{\text{Percentage Value}}{100} \times \text{Total} \]
So,
\[ 16\% \text{ of } 450 = \frac{16}{100} \times 450 \]
Calculating this gives:
\[ = 0.16 \times 450 = 72 \]

### Step 2: Set up the equation
Now we can substitute this value back into the equation:
\[ \frac{72}{? \% \text{ of } 250} = 4.8 \]

### Step 3: Express ?% of 250
Let \( x \) represent the unknown percentage. Thus, we can express \( ? \% \text{ of } 250 \) as:
\[ \frac{x}{100} \times 250 = \frac{250x}{100} = 2.5x \]

### Step 4: Rewrite the equation
Now we can rewrite the equation:
\[ \frac{72}{2.5x} = 4.8 \]

### Step 5: Cross-multiply to solve for x
Cross-multiplying gives:
\[ 72 = 4.8 \times 2.5x \]
Calculating \( 4.8 \times 2.5 \):
\[ 4.8 \times 2.5 = 12 \]
So we have:
\[ 72 = 12x \]

### Step 6: Solve for x
To find \( x \), divide both sides by 12:
\[ x = \frac{72}{12} = 6 \]

### Final Answer
The value of the question mark is \( 6 \).

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