12% of ? + 12.5% of 960 = 16 `xx` 12

Options

A. 840
B. 960
C. 800
D. 600

Answer

To solve the equation \( 12\% \text{ of } ? + 12.5\% \text{ of } 960 = 16 \times 12 \), we will follow these steps:

### Step 1: Convert percentages to decimals
First, we convert the percentages into decimal form:
- \( 12\% = \frac{12}{100} = 0.12 \)
- \( 12.5\% = \frac{12.5}{100} = 0.125 \)

### Step 2: Write the equation
Now we can rewrite the equation using the decimal forms:
\[ 0.12 \times ? + 0.125 \times 960 = 16 \times 12 \]

### Step 3: Calculate \( 12 \times 16 \)
Next, we calculate \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]

### Step 4: Calculate \( 12.5\% \text{ of } 960 \)
Now we calculate \( 0.125 \times 960 \):
\[ 0.125 \times 960 = \frac{125}{1000} \times 960 = \frac{125 \times 960}{1000} = 120 \]

### Step 5: Substitute back into the equation
Substituting the calculated values back into the equation gives us:
\[ 0.12 \times ? + 120 = 192 \]

### Step 6: Isolate \( 0.12 \times ? \)
Now, we isolate \( 0.12 \times ? \):
\[ 0.12 \times ? = 192 - 120 \]
\[ 0.12 \times ? = 72 \]

### Step 7: Solve for \( ? \)
Next, we solve for \( ? \):
\[ ? = \frac{72}{0.12} \]
To simplify this, we can multiply both the numerator and the denominator by 100:
\[ ? = \frac{72 \times 100}{12} = \frac{7200}{12} = 600 \]

Thus, the value of \( ? \) is \( 600 \).

### Final Answer
The answer is \( ? = 600 \).

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