What is 40% of 50% of 3/4th of 3200?

Options

A. a. 480
B. b. 560
C. c. 420
D. d. 600

Answer

To solve the problem "What is 40% of 50% of 3/4th of 3200?", we can break it down step by step.

### Step-by-Step Solution:

1. **Identify the components of the problem**: We need to find 40% of 50% of 3/4 of 3200.

2. **Calculate 3/4 of 3200**:
\[ \frac{3}{4} \times 3200 = \frac{3 \times 3200}{4} = \frac{9600}{4} = 2400 \]

3. **Calculate 50% of 2400**:
\[ 50\% \text{ of } 2400 = \frac{50}{100} \times 2400 = \frac{1}{2} \times 2400 = 1200 \]

4. **Calculate 40% of 1200**:
\[ 40\% \text{ of } 1200 = \frac{40}{100} \times 1200 = \frac{2}{5} \times 1200 = 480 \]

5. **Final Result**:
Therefore, 40% of 50% of 3/4th of 3200 is **480**.