`5% of a number is 9. the number is

Options

A. 120
B. 140
C. 160
D. 180

Answer

To solve the problem "5% of a number is 9," we can follow these steps:

### Step 1: Understand the problem
We need to find a number (let's call it X) such that 5% of X equals 9.

### Step 2: Set up the equation
We can express 5% of X mathematically as:
\[ \frac{5}{100} \times X = 9 \]

### Step 3: Simplify the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ 5X = 9 \times 100 \]
This simplifies to:
\[ 5X = 900 \]

### Step 4: Solve for X
Now, we can solve for X by dividing both sides by 5:
\[ X = \frac{900}{5} \]
Calculating the right side gives:
\[ X = 180 \]

### Conclusion
The number we are looking for is 180.

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