25% of a number is less than 18% of 650 by 19. The number is 

Options

A. `380.8`
B. 392
C. 450
D. 544

Answer

To solve the problem step by step, we will follow the given information and set up an equation.

### Step 1: Understand the problem
We know that 25% of a number (let's call it \( x \)) is less than 18% of 650 by 19.

### Step 2: Set up the equation
We can express the problem mathematically:
\[ 25\% \text{ of } x = \frac{25}{100} \times x = \frac{1}{4}x \]
\[ 18\% \text{ of } 650 = \frac{18}{100} \times 650 = \frac{18 \times 650}{100} = 117 \]
Now, according to the problem:
\[ \frac{1}{4}x + 19 = 117 \]

### Step 3: Rearranging the equation
To isolate \( x \), we can rearrange the equation:
\[ \frac{1}{4}x = 117 - 19 \]
\[ \frac{1}{4}x = 98 \]

### Step 4: Solve for \( x \)
Now, multiply both sides by 4 to solve for \( x \):
\[ x = 98 \times 4 \]
\[ x = 392 \]

### Step 5: Conclusion
The required number is:
\[ \text{Therefore, the required number is } 392. \]

---