`12%` of what number is equal to `30%` of 960?

Options

A. 2400
B. 1720
C. 1440
D. 2880

Answer

To solve the problem, we need to find the number \( x \) such that \( 12\% \) of \( x \) is equal to \( 30\% \) of \( 960 \).

### Step-by-Step Solution:

1. **Set up the equation**:
We start with the statement that \( 12\% \) of \( x \) is equal to \( 30\% \) of \( 960 \).
\[ 12\% \text{ of } x = 30\% \text{ of } 960 \]

2. **Convert percentages to fractions**:
We can express the percentages as fractions:
\[ \frac{12}{100} \cdot x = \frac{30}{100} \cdot 960 \]

3. **Simplify the equation**:
We can simplify \( \frac{30}{100} \) to \( \frac{3}{10} \):
\[ \frac{12}{100} \cdot x = \frac{3}{10} \cdot 960 \]

4. **Calculate \( 30\% \) of \( 960 \)**:
Now, we calculate \( \frac{3}{10} \cdot 960 \):
\[ \frac{3 \cdot 960}{10} = \frac{2880}{10} = 288 \]

5. **Rewrite the equation**:
Now we have:
\[ \frac{12}{100} \cdot x = 288 \]

6. **Isolate \( x \)**:
To find \( x \), we multiply both sides by \( \frac{100}{12} \):
\[ x = 288 \cdot \frac{100}{12} \]

7. **Calculate \( x \)**:
Now we perform the multiplication:
\[ x = 288 \cdot \frac{100}{12} = 288 \cdot 8.3333 = 2400 \]

8. **Final answer**:
Thus, the number \( x \) is:
\[ x = 2400 \]

### Conclusion:
The number such that \( 12\% \) of it equals \( 30\% \) of \( 960 \) is \( 2400 \).