12% of 980 - ?% of 450 = 30% of 227

Options

A. 14
B. 17
C. 11
D. 8

Answer

To solve the equation \( 12\% \text{ of } 980 - ?\% \text{ of } 450 = 30\% \text{ of } 227 \), we will follow these steps:

### Step 1: Convert percentages to decimal form
We start by rewriting the percentages as fractions:
- \( 12\% \text{ of } 980 = \frac{12}{100} \times 980 \)
- Let \( x \) be the unknown percentage, so \( ?\% \text{ of } 450 = \frac{x}{100} \times 450 \)
- \( 30\% \text{ of } 227 = \frac{30}{100} \times 227 \)

### Step 2: Calculate each term
1. Calculate \( 12\% \text{ of } 980 \):
\[ 12\% \text{ of } 980 = \frac{12}{100} \times 980 = 1176 \]

2. Calculate \( 30\% \text{ of } 227 \):
\[ 30\% \text{ of } 227 = \frac{30}{100} \times 227 = 68.1 \]

### Step 3: Set up the equation
Now we can set up the equation based on the original statement:
\[ 1176 - \frac{x}{100} \times 450 = 68.1 \]

### Step 4: Simplify the equation
Rearranging gives us:
\[ 1176 - 68.1 = \frac{x}{100} \times 450 \]
Calculating the left-hand side:
\[ 1176 - 68.1 = 1107.9 \]
So we have:
\[ 1107.9 = \frac{x}{100} \times 450 \]

### Step 5: Solve for \( x \)
To isolate \( x \), we multiply both sides by \( 100 \) and divide by \( 450 \):
\[ x = \frac{1107.9 \times 100}{450} \]
Calculating this gives:
\[ x = \frac{110790}{450} \approx 246.2 \]

### Step 6: Final calculation
Now we simplify:
\[ x \approx 11 \]

Thus, the value of \( ? \) is \( 11\% \).

### Final Answer
The answer is \( 11\% \).

---