What is the value of 30% of 40% of 2400?

Options

A. 288
B. 72
C. 144
D. 108

Answer

To find the value of 30% of 40% of 2400, we can break the problem down into simpler steps.

### Step-by-Step Solution:

1. **Convert percentages to fractions**:
- 30% can be written as \( \frac{30}{100} \) or \( 0.30 \).
- 40% can be written as \( \frac{40}{100} \) or \( 0.40 \).

2. **Calculate 40% of 2400**:
- To find 40% of 2400, we multiply:
\[ 40\% \text{ of } 2400 = \frac{40}{100} \times 2400 = 0.40 \times 2400 \]
- Performing the multiplication:
\[ 0.40 \times 2400 = 960 \]

3. **Calculate 30% of the result from step 2**:
- Now, we need to find 30% of 960:
\[ 30\% \text{ of } 960 = \frac{30}{100} \times 960 = 0.30 \times 960 \]
- Performing the multiplication:
\[ 0.30 \times 960 = 288 \]

4. **Final Answer**:
- Therefore, the value of 30% of 40% of 2400 is **288**.

### Summary:
The final answer is **288**.