0.01 is what per cent of 0.1 ?

Options

A. 10
B. `1/10`
C. 100
D. `1/100`

Answer

To solve the question "0.01 is what percent of 0.1?", we can follow these steps:

### Step 1: Set up the equation
We want to find out what percent \( x \) of 0.1 is equal to 0.01. This can be expressed mathematically as:
\[ 0.01 = \frac{x}{100} \times 0.1 \]

### Step 2: Rearrange the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ 100 \times 0.01 = x \times 0.1 \]
This simplifies to:
\[ 1 = 0.1x \]

### Step 3: Solve for \( x \)
Now, we need to isolate \( x \). We can do this by dividing both sides by 0.1:
\[ x = \frac{1}{0.1} \]
Calculating this gives:
\[ x = 10 \]

### Conclusion
Thus, 0.01 is 10% of 0.1.

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