SIMPLIFY:- 12.5% of 800 - 6.25%of 1600

Options

A. a. 100
B. b. 0
C. c. 200
D. d. 10

Answer

To simplify the expression \( 12.5\% \text{ of } 800 - 6.25\% \text{ of } 1600 \), we can follow these steps:

### Step 1: Convert Percentages to Fractions
First, we convert the percentages to fractions:
- \( 12.5\% = \frac{12.5}{100} = \frac{1}{8} \)
- \( 6.25\% = \frac{6.25}{100} = \frac{1}{16} \)

### Step 2: Calculate Each Percentage
Now we calculate each part of the expression:
- \( 12.5\% \text{ of } 800 = \frac{1}{8} \times 800 \)
- \( 6.25\% \text{ of } 1600 = \frac{1}{16} \times 1600 \)

### Step 3: Perform the Calculations
Now we perform the calculations:
- For \( 12.5\% \text{ of } 800 \):
\[ \frac{1}{8} \times 800 = 100 \]
- For \( 6.25\% \text{ of } 1600 \):
\[ \frac{1}{16} \times 1600 = 100 \]

### Step 4: Subtract the Results
Now we subtract the results from Step 3:
\[ 100 - 100 = 0 \]

### Final Answer
Thus, the simplified expression is:
\[ \boxed{0} \]

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