Simplify:-- 12% of 50% of 8600 = ?

Options

A. a. 516
B. d. 492
C. c. 680
D. d. 432

Answer

To simplify the expression "12% of 50% of 8600", we can follow these steps:

### Step 1: Convert percentages to fractions
First, we convert the percentages to fractions:
- 12% = 12/100
- 50% = 50/100

### Step 2: Apply the percentages to 8600
Now we can express the problem mathematically:
\[ 12\% \text{ of } 50\% \text{ of } 8600 = \left(\frac{12}{100}\right) \times \left(\frac{50}{100}\right) \times 8600 \]

### Step 3: Simplify the fractions
We can simplify the fractions:
- \(\frac{50}{100} = \frac{1}{2}\)

So, we rewrite the expression:
\[ = \left(\frac{12}{100}\right) \times \left(\frac{1}{2}\right) \times 8600 \]

### Step 4: Calculate \(50\%\) of \(8600\)
Now, calculate \(50\%\) of \(8600\):
\[ 50\% \text{ of } 8600 = \frac{1}{2} \times 8600 = 4300 \]

### Step 5: Calculate \(12\%\) of \(4300\)
Next, we find \(12\%\) of \(4300\):
\[ 12\% \text{ of } 4300 = \left(\frac{12}{100}\right) \times 4300 \]

### Step 6: Simplify the multiplication
Now, we can simplify this:
\[ = \frac{12 \times 4300}{100} \]
\[ = \frac{51600}{100} = 516 \]

### Final Answer
Thus, the simplified value of "12% of 50% of 8600" is:
\[ \boxed{516} \]

---