30% of x is 72.The value of x is :

Options

A. 216
B. 240
C. 480
D. 640

Answer

To solve the problem "30% of x is 72," we can follow these steps:

### Step-by-Step Solution:

1. **Understand the percentage**:
We know that 30% can be expressed as a fraction.
\[ 30\% = \frac{30}{100} = \frac{3}{10} \]

2. **Set up the equation**:
According to the problem, 30% of x is equal to 72. We can write this as:
\[ \frac{3}{10} x = 72 \]

3. **Eliminate the fraction**:
To solve for x, we can multiply both sides of the equation by the reciprocal of \(\frac{3}{10}\), which is \(\frac{10}{3}\):
\[ x = 72 \times \frac{10}{3} \]

4. **Calculate the right side**:
Now we will perform the multiplication:
\[ x = \frac{720}{3} \]

5. **Divide to find x**:
Now we divide 720 by 3:
\[ x = 240 \]

### Final Answer:
The value of x is **240**.

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