A number when reduced by `10%` gives 30. the number is

Options

A. 35
B. `33 1/2`
C. `33 1/3`
D. 40

Answer

To solve the problem step by step, we can follow these instructions:

### Step-by-Step Solution

1. **Understand the Problem**: We need to find a number (let's call it \( x \)) such that when it is reduced by 10%, the result is 30.

2. **Set Up the Equation**: When we reduce \( x \) by 10%, we are left with 90% of \( x \). Therefore, we can write the equation:
\[ 0.9x = 30 \]

3. **Solve for \( x \)**: To find \( x \), we need to isolate it in the equation. We can do this by dividing both sides of the equation by 0.9:
\[ x = \frac{30}{0.9} \]

4. **Calculate the Value**: Now, we can perform the division:
\[ x = \frac{30}{0.9} = \frac{30 \times 10}{9} = \frac{300}{9} = 33.33\overline{3} \]

5. **Final Answer**: Thus, the number \( x \) is approximately \( 33.33\overline{3} \) or \( 33 \frac{1}{3} \).