37.5% of 800 – 6.25% of 1600 =?

Options

A. 200
B. 250
C. 275
D. 300

Explanation

To solve the expression \( 37.5\% \text{ of } 800 - 6.25\% \text{ of } 1600 \), we can follow these steps:

### Step 1: Convert percentages to fractions
First, we convert the percentages into fractions:
- \( 37.5\% = \frac{37.5}{100} = \frac{375}{1000} = \frac{3}{8} \)
- \( 6.25\% = \frac{6.25}{100} = \frac{625}{10000} = \frac{1}{16} \)

### Step 2: Calculate \( 37.5\% \text{ of } 800 \)
Now we calculate \( 37.5\% \text{ of } 800 \):
\[ 37.5\% \text{ of } 800 = \frac{3}{8} \times 800 \]
Calculating this gives:
\[ \frac{3 \times 800}{8} = \frac{2400}{8} = 300 \]

### Step 3: Calculate \( 6.25\% \text{ of } 1600 \)
Next, we calculate \( 6.25\% \text{ of } 1600 \):
\[ 6.25\% \text{ of } 1600 = \frac{1}{16} \times 1600 \]
Calculating this gives:
\[ \frac{1 \times 1600}{16} = \frac{1600}{16} = 100 \]

### Step 4: Subtract the two results
Now we subtract the two results:
\[ 300 - 100 = 200 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{200} \]

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