Simplify:- 16% of 450 ÷ ?% of 250 = 4.8

Options

A. a. 12
B. b. 6
C. c. 4
D. b. 10

Answer

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

### Step 1: Convert percentages to fractions
We know that \( x\% \) can be expressed as \( \frac{x}{100} \). Therefore, we can rewrite the equation as:
\[ \frac{16}{100} \times 450 \div \frac{?}{100} \times 250 = 4.8 \]

### Step 2: Simplify the left side
The left side of the equation can be simplified:
\[ \frac{16 \times 450}{100} \div \frac{? \times 250}{100} \]
This simplifies to:
\[ \frac{16 \times 450}{? \times 250} \]

### Step 3: Multiply by the reciprocal
We can rewrite the division as multiplication by the reciprocal:
\[ \frac{16 \times 450}{? \times 250} = 4.8 \]

### Step 4: Cross-multiply
Cross-multiplying gives us:
\[ 16 \times 450 = 4.8 \times ? \times 250 \]

### Step 5: Calculate \( 16 \times 450 \)
Calculating \( 16 \times 450 \):
\[ 16 \times 450 = 7200 \]
So we have:
\[ 7200 = 4.8 \times ? \times 250 \]

### Step 6: Simplify the right side
Now, we can simplify the right side:
\[ 7200 = 1200 \times ? \]
where \( 4.8 \times 250 = 1200 \).

### Step 7: Solve for \( ? \)
To find \( ? \), we divide both sides by 1200:
\[ ? = \frac{7200}{1200} = 6 \]

### Final Answer
Thus, the value of \( ? \) is \( 6 \).

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